{"status":"ok","message-type":"work-list","message-version":"1.0.0","message":{"facets":{},"total-results":6193720,"items":[{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T12:25:25Z","timestamp":1774355125425,"version":"3.50.1"},"publisher-location":"Cham","reference-count":0,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030219222","type":"print"},{"value":"9783030219239","type":"electronic"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-21923-9","type":"book","created":{"date-parts":[[2019,8,16]],"date-time":"2019-08-16T11:02:43Z","timestamp":1565953363000},"source":"Crossref","is-referenced-by-count":58,"title":["Quantitative Methods for Investigating Infectious Disease Outbreaks"],"prefix":"10.1007","author":[{"given":"Ping","family":"Yan","sequence":"first","affiliation":[]},{"given":"Gerardo","family":"Chowell","sequence":"additional","affiliation":[]}],"member":"297","container-title":["Texts in Applied Mathematics"],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-21923-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-21923-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,3,17]],"date-time":"2020-03-17T20:40:34Z","timestamp":1584477634000},"score":23.030258,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-21923-9"}},"issued":{"date-parts":[[2019]]},"ISBN":["9783030219222","9783030219239"],"references-count":0,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-21923-9","ISSN":["0939-2475","2196-9949"],"issn-type":[{"value":"0939-2475","type":"print"},{"value":"2196-9949","type":"electronic"}],"published":{"date-parts":[[2019]]}},{"indexed":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T07:55:12Z","timestamp":1726041312236},"publisher-location":"Cham","reference-count":31,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030219222"},{"type":"electronic","value":"9783030219239"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-21923-9_1","type":"book-chapter","created":{"date-parts":[[2019,8,16]],"date-time":"2019-08-16T11:02:43Z","timestamp":1565953363000},"page":"1-10","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Introduction"],"prefix":"10.1007","author":[{"given":"Ping","family":"Yan","sequence":"first","affiliation":[]},{"given":"Gerardo","family":"Chowell","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,8,17]]},"reference":[{"key":"1_CR1","doi-asserted-by":"crossref","DOI":"10.1201\/b12537","volume-title":"An introduction to stochastic processes with applications to biology","author":"L J Allen","year":"2010","unstructured":"Allen, L. J. (2010). An introduction to stochastic processes with applications to biology. Boca Raton, FL: CRC Press."},{"issue":"5","key":"1_CR2","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1016\/j.annepidem.2018.01.002","volume":"28","author":"W J Alonso","year":"2018","unstructured":"Alonso, W. J., Nascimento, F. C., Chowell, G., & Schuck-Paim, C. (2018). We could learn much more from 1918 pandemic-the (mis)fortune of research relying on original death certificates. Annals of Epidemiology, 28(5), 289\u2013292.","journal-title":"Annals of Epidemiology"},{"key":"1_CR3","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198545996.001.0001","volume-title":"Infectious diseases of humans, dynamics and control","author":"R M Anderson","year":"1991","unstructured":"Anderson, R. M., & May, R. M. (1991) Infectious diseases of humans, dynamics and control. Oxford: Oxford University Press."},{"key":"1_CR4","volume-title":"Stochastic epidemic models and their statistical analysis","author":"H Andersson","year":"2012","unstructured":"Andersson, H., & Britton, T. (2012). Stochastic epidemic models and their statistical analysis (Vol. 151). New York, NY: Springer."},{"key":"1_CR5","doi-asserted-by":"publisher","DOI":"10.1201\/b18377","volume-title":"Modeling to inform infectious disease control","author":"N G Becker","year":"2015","unstructured":"Becker, N. G. (2015). Modeling to inform infectious disease control. London: Chapman and Hall\/CRC."},{"key":"1_CR6","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1186\/s12879-016-1669-x","volume":"16","author":"M Biggerstaff","year":"2016","unstructured":"Biggerstaff, M., Alper, D., Dredze, M., Fox, S., Fung, I. C., Hickmann, K. S., et al. (2016). Results from the centers for disease control and prevention\u2019s predict the 2013\u20132014 Influenza Season Challenge. BMC Infectious Diseases, 16, 357.","journal-title":"BMC Infectious Diseases"},{"key":"1_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3934\/mbe.2006.3.1","volume":"3","author":"F Brauer","year":"2006","unstructured":"Brauer, F. (2006). Some simple epidemic models. Mathematical Biosciences and Engineering, 3, 1\u201315.","journal-title":"Mathematical Biosciences and Engineering"},{"key":"1_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3516-1","volume-title":"Mathematical models in population biology and epidemiology","author":"F Brauer","year":"2001","unstructured":"Brauer, F., & Castillo-Ch\u00e1vez, C. (2001). Mathematical models in population biology and epidemiology. New York, NY: Springer."},{"key":"1_CR9","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780195076417.001.0001","volume-title":"AIDS epidemiology: A quantitative approach","author":"R Brookmeyer","year":"1994","unstructured":"Brookmeyer, R., & Gail, M. H. (1994). AIDS epidemiology: A quantitative approach. New York, NY: Oxford University Press."},{"key":"1_CR10","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1016\/j.idm.2017.08.001","volume":"2","author":"G Chowell","year":"2017","unstructured":"Chowell, G. (2017). Fitting dynamic models to epidemic outbreaks with quantified uncertainty: A primer for parameter uncertainty, identifiability, and forecasts. Infectious Disease Modelling, 2, 379\u2013398.","journal-title":"Infectious Disease Modelling"},{"key":"1_CR11","doi-asserted-by":"publisher","unstructured":"Chowell, G., Viboud, C., Hyman, J. M., & Simonsen, L. (2015). The Western Africa ebola virus disease epidemic exhibits both global exponential and local polynomial growth rates. PLoS Currents, 7. https:\/\/doi.org\/10.1371\/currents.outbreaks.8b55f4bad99ac5c5db3663e916803261","DOI":"10.1371\/currents.outbreaks.8b55f4bad99ac5c5db3663e916803261"},{"issue":"123","key":"1_CR12","doi-asserted-by":"publisher","first-page":"20160659","DOI":"10.1098\/rsif.2016.0659","volume":"13","author":"Gerardo Chowell","year":"2016","unstructured":"Chowell, G., Viboud, C., Simonsen, L., & Moghadas, S. (2016). Characterizing the reproduction number of epidemics with early sub-exponential growth dynamics. Journal of the Royal Society Interface, 13(123). https:\/\/doi.org\/10.1098\/rsif.2016.0659","journal-title":"Journal of The Royal Society Interface"},{"issue":"1","key":"1_CR13","doi-asserted-by":"publisher","DOI":"10.5210\/ojphi.v7i1.5677","volume":"7","author":"J P Chretien","year":"2015","unstructured":"Chretien, J. P., Swedlow, D., Eckstrand, I., Johansson, M., Huffman, R., & Hebbeler, A.(2015). Advancing epidemic prediction and forecasting: A new US government initiative. Online Journal of Public Health Informatics, 7(1), e13.","journal-title":"Online Journal of Public Health Informatics"},{"issue":"5","key":"1_CR14","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1016\/j.annepidem.2017.12.005","volume":"28","author":"S Dahal","year":"2017","unstructured":"Dahal, S., Jenner, M., Dinh, L., Mizumoto, K., Viboud, C., & Chowell, G. (2017). Excess mortality patterns during 1918\u20131921 influenza pandemic in the state of Arizona, USA. Annals of Epidemiology, 28(5), 273\u2013280.","journal-title":"Annals of Epidemiology"},{"key":"1_CR15","volume-title":"Mathematical epidemiology of infectious diseases: Model building, analysis and interpretation. Mathematical and computational biology","author":"O Diekmann","year":"2000","unstructured":"Diekmann, O., & Heesterbeek, J. A. P. (2000). Mathematical epidemiology of infectious diseases: Model building, analysis and interpretation. Mathematical and computational biology (Vol. 5). Chichester: Wiley."},{"key":"1_CR16","first-page":"3","volume-title":"Epidemic models: Their structure and relation to data","author":"K Dietz","year":"1995","unstructured":"Dietz, K. (1995). Some problems in the theory of infectious diseases transmission and control. In D. Mollison (Ed.), Epidemic models: Their structure and relation to data (pp. 3\u201316). Cambridge: Cambridge University Press."},{"issue":"1","key":"1_CR17","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1353\/bhm.2002.0022","volume":"76","author":"N P Johnson","year":"2002","unstructured":"Johnson, N. P., & Mueller, J. (2002). Updating the accounts: Global mortality of the 1918\u20131920 \u201cSpanish\u201d influenza pandemic. Bulletin of the History of Medicine, 76(1), 105\u2013115.","journal-title":"Bulletin of the History of Medicine"},{"key":"1_CR18","doi-asserted-by":"publisher","DOI":"10.1515\/9781400841035","volume-title":"Modeling infectious diseases in humans and animals","author":"M J Keeling","year":"2008","unstructured":"Keeling, M. J., & Rohani, P. (2008). Modeling infectious diseases in humans and animals. Princeton, NJ: Princeton University Press."},{"key":"1_CR19","unstructured":"Kermack, W. O., & McKendrick, A. G. (1927). Contributions to the mathematical theory of epidemics, part I. Proceedings of the Royal Society London A, 115, 700\u2013721."},{"issue":"7066","key":"1_CR20","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1038\/nature04153","volume":"438","author":"J O Lloyd-Smith","year":"2005","unstructured":"Lloyd-Smith, J. O., Schreiber, S. J., Kopp, P. E., & Getz, W. M. (2005). Superspreading and the effect of individual variation on disease emergence. Nature, 438(7066), 355.","journal-title":"Nature"},{"volume-title":"Modeling the interplay between human behavior and the spread of infectious diseases","year":"2013","key":"1_CR21","unstructured":"Manfredi, P., & D\u2019Onofrio, A. (Eds.). (2013). Modeling the interplay between human behavior and the spread of infectious diseases. New York, NY: Springer."},{"issue":"7019","key":"1_CR22","doi-asserted-by":"publisher","first-page":"904","DOI":"10.1038\/nature03063","volume":"432","author":"C E Mills","year":"2004","unstructured":"Mills, C. E., Robins, J. M., & Lipsitch, M. (2004). Transmissibility of 1918 pandemic influenza. Nature, 432(7019), 904.","journal-title":"Nature"},{"key":"1_CR23","volume-title":"The prevention of malaria","author":"R Ross","year":"1911","unstructured":"Ross, R. (1911). The prevention of malaria. London: John Murray."},{"key":"1_CR24","volume-title":"Studies on malaria","author":"R Ross","year":"1928","unstructured":"Ross, R. (1928). Studies on malaria. London: John Murray."},{"key":"1_CR25","doi-asserted-by":"publisher","DOI":"10.1515\/9781400831708","volume-title":"The geographic spread of infectious diseases: Models and applications","author":"L Sattenspiel","year":"2009","unstructured":"Sattenspiel, L. (2009). The geographic spread of infectious diseases: Models and applications. Princeton, NJ: Princeton University Press."},{"issue":"5","key":"1_CR26","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1016\/j.annepidem.2018.02.013","volume":"28","author":"L Simonsen","year":"2018","unstructured":"Simonsen, L., Chowell, G., Andreasen, V., Gaffey, R., Barry, J., Olson, D., et al. (2018). A review of the 1918 herald pandemic wave: Importance for contemporary pandemic response strategies. Annals of Epidemiology, 28(5), 281\u2013288.","journal-title":"Annals of Epidemiology"},{"issue":"19","key":"1_CR27","doi-asserted-by":"publisher","first-page":"8778","DOI":"10.1073\/pnas.1000886107","volume":"107","author":"A J Valleron","year":"2010","unstructured":"Valleron, A. J., Cori, A., Valtat, S., Meurisse, S., Carrat, F., & Boelle, P. Y. (2010). Transmissibility and geographic spread of the 1889 influenza pandemic. Proceedings of the National Academy of Sciences, 107(19), 8778\u20138781.","journal-title":"Proceedings of the National Academy of Sciences"},{"key":"1_CR28","unstructured":"van den Driessche, P., & Watmough, J. (2008). Further notes on the basic reproduction number. In: F. Brauer, P. van den Driessche, & J. Wu (Eds.) Mathematical epidemiology. Lecture notes in mathematics (Vol. 1945). Berlin: Springer."},{"key":"1_CR29","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1016\/j.epidem.2016.01.002","volume":"15","author":"C Viboud","year":"2016","unstructured":"Viboud, C., Simonsen, L., Chowell, G. (2016). A generalized-growth model to characterize the early ascending phase of infectious disease outbreaks. Epidemics 15, 27\u201337.","journal-title":"Epidemics"},{"key":"1_CR30","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.epidem.2017.08.002","volume":"22","author":"C Viboud","year":"2018","unstructured":"Viboud, C., Sun, K., Gaffey, R., Ajelli, M., Fumanelli, L., Merler, S., et al. (2018). The RAPID ebola forecasting challenge: Synthesis and lessons learnt. Epidemics, 22, 13\u201321.","journal-title":"Epidemics"},{"key":"1_CR31","volume-title":"An introduction to infectious disease modelling","author":"E Vynnycky","year":"2010","unstructured":"Vynnycky, E., & White, R. (2010). An introduction to infectious disease modelling. Oxford: Oxford University Press."}],"container-title":["Texts in Applied Mathematics","Quantitative Methods for Investigating Infectious Disease Outbreaks"],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-21923-9_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,22]],"date-time":"2024-07-22T03:01:03Z","timestamp":1721617263000},"score":22.156609,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-21923-9_1"}},"issued":{"date-parts":[[2019]]},"ISBN":["9783030219222","9783030219239"],"references-count":31,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-21923-9_1","ISSN":["0939-2475","2196-9949"],"issn-type":[{"type":"print","value":"0939-2475"},{"type":"electronic","value":"2196-9949"}],"published":{"date-parts":[[2019]]},"assertion":[{"value":"17 August 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]},{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:46:19Z","timestamp":1753890379687,"version":"3.41.2"},"reference-count":0,"publisher":"Frontiers Media SA","license":[{"start":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T00:00:00Z","timestamp":1740441600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["frontiersin.org"],"crossmark-restriction":true},"short-container-title":["Front. Appl. Math. Stat."],"DOI":"10.3389\/fams.2025.1573606","type":"journal-article","created":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T06:53:00Z","timestamp":1740466380000},"update-policy":"https:\/\/doi.org\/10.3389\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Editorial: Applied quantitative methods for corporate finance and investments"],"prefix":"10.3389","volume":"11","author":[{"given":"\u015etefan Cristian","family":"Gherghina","sequence":"first","affiliation":[]},{"given":"Liliana Nicoleta","family":"Simionescu","sequence":"additional","affiliation":[]}],"member":"1965","published-online":{"date-parts":[[2025,2,25]]},"container-title":["Frontiers in Applied Mathematics and Statistics"],"link":[{"URL":"https:\/\/www.frontiersin.org\/articles\/10.3389\/fams.2025.1573606\/full","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T06:53:00Z","timestamp":1740466380000},"score":21.990734,"resource":{"primary":{"URL":"https:\/\/www.frontiersin.org\/articles\/10.3389\/fams.2025.1573606\/full"}},"issued":{"date-parts":[[2025,2,25]]},"references-count":0,"alternative-id":["10.3389\/fams.2025.1573606"],"URL":"https:\/\/doi.org\/10.3389\/fams.2025.1573606","ISSN":["2297-4687"],"issn-type":[{"type":"electronic","value":"2297-4687"}],"published":{"date-parts":[[2025,2,25]]},"article-number":"1573606"},{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:21:42Z","timestamp":1720225302689},"edition-number":"4","reference-count":0,"publisher":"Bloomsbury Publishing Plc","isbn-type":[{"value":"9781350928879","type":"electronic"},{"value":"9781352007886","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.5040\/9781350928879.0004","type":"other","created":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:50Z","timestamp":1720177130000},"page":"1-2","source":"Crossref","is-referenced-by-count":0,"title":["Introduction"],"prefix":"10.5040","member":"2984","container-title":["Quantitative Methods"],"deposited":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:56Z","timestamp":1720177136000},"score":21.846409,"resource":{"primary":{"URL":"https:\/\/www.bloomsburycollections.com\/encyclopedia-chapter?docid=b-9781350928879&tocid=b-9781350928879-0000054"}},"issued":{"date-parts":[[2019]]},"ISBN":["9781350928879","9781352007886"],"references-count":0,"URL":"https:\/\/doi.org\/10.5040\/9781350928879.0004","published":{"date-parts":[[2019]]}},{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:23:13Z","timestamp":1720225393495},"edition-number":"4","reference-count":0,"publisher":"Bloomsbury Publishing Plc","isbn-type":[{"value":"9781350928879","type":"electronic"},{"value":"9781352007886","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.5040\/9781350928879.ch-002","type":"other","created":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:50Z","timestamp":1720177130000},"page":"22-36","source":"Crossref","is-referenced-by-count":0,"title":["Fractions"],"prefix":"10.5040","member":"2984","container-title":["Quantitative Methods"],"deposited":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:58Z","timestamp":1720177138000},"score":21.818245,"resource":{"primary":{"URL":"https:\/\/www.bloomsburycollections.com\/encyclopedia-chapter?docid=b-9781350928879&tocid=b-9781350928879-chapter2"}},"issued":{"date-parts":[[2019]]},"ISBN":["9781350928879","9781352007886"],"references-count":0,"URL":"https:\/\/doi.org\/10.5040\/9781350928879.ch-002","published":{"date-parts":[[2019]]}},{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:20:58Z","timestamp":1720225258562},"edition-number":"4","reference-count":0,"publisher":"Bloomsbury Publishing Plc","isbn-type":[{"value":"9781350928879","type":"electronic"},{"value":"9781352007886","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.5040\/9781350928879.ch-003","type":"other","created":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:50Z","timestamp":1720177130000},"page":"37-53","source":"Crossref","is-referenced-by-count":0,"title":["Decimals"],"prefix":"10.5040","member":"2984","container-title":["Quantitative Methods"],"deposited":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:59Z","timestamp":1720177139000},"score":21.818245,"resource":{"primary":{"URL":"https:\/\/www.bloomsburycollections.com\/encyclopedia-chapter?docid=b-9781350928879&tocid=b-9781350928879-chapter3"}},"issued":{"date-parts":[[2019]]},"ISBN":["9781350928879","9781352007886"],"references-count":0,"URL":"https:\/\/doi.org\/10.5040\/9781350928879.ch-003","published":{"date-parts":[[2019]]}},{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T01:06:20Z","timestamp":1773795980080,"version":"3.50.1"},"publisher-location":"Providence, Rhode Island","reference-count":0,"publisher":"American Mathematical Society","isbn-type":[{"value":"9780821807514","type":"print"},{"value":"9780821892725","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2000]]},"DOI":"10.1090\/psapm\/057\/1737720","type":"other","created":{"date-parts":[[2013,1,23]],"date-time":"2013-01-23T15:00:39Z","timestamp":1358953239000},"page":"1-24","source":"Crossref","is-referenced-by-count":0,"title":["Quantitative methods for portfolio management"],"prefix":"10.1090","author":[{"given":"Steven E.","family":"Shreve","sequence":"first","affiliation":[]}],"member":"14","container-title":["Proceedings of Symposia in Applied Mathematics","Introduction to Mathematical Finance"],"language":"en","deposited":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T21:05:37Z","timestamp":1773781537000},"score":21.595139,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/psapm\/057\/1737720"}},"issued":{"date-parts":[[2000]]},"ISBN":["9780821807514","9780821892725"],"references-count":0,"URL":"https:\/\/doi.org\/10.1090\/psapm\/057\/1737720","ISSN":["2324-7088","0160-7634"],"issn-type":[{"value":"2324-7088","type":"electronic"},{"value":"0160-7634","type":"print"}],"published":{"date-parts":[[2000]]}},{"indexed":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T07:54:47Z","timestamp":1726041287146},"publisher-location":"Cham","reference-count":59,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030219222"},{"type":"electronic","value":"9783030219239"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-21923-9_7","type":"book-chapter","created":{"date-parts":[[2019,8,16]],"date-time":"2019-08-16T11:02:43Z","timestamp":1565953363000},"page":"217-271","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Some Statistical Issues"],"prefix":"10.1007","author":[{"given":"Ping","family":"Yan","sequence":"first","affiliation":[]},{"given":"Gerardo","family":"Chowell","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,8,17]]},"reference":[{"key":"7_CR1","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198545996.001.0001","volume-title":"Infectious diseases of humans, dynamics and control","author":"R M Anderson","year":"1991","unstructured":"Anderson, R. M., & May, R. M. (1991) Infectious diseases of humans, dynamics and control. Oxford: Oxford University Press."},{"key":"7_CR2","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1111\/j.2517-6161.1953.tb00121.x","volume":"15","author":"F J Anscombe","year":"1953","unstructured":"Anscombe, F. J. (1953) Contribution to the discussion of H. Hotelling\u2019s paper. Journal of Royal Statistics Society (B), 15, 229\u2013230.","journal-title":"Journal of Royal Statistics Society (B)"},{"key":"7_CR3","volume-title":"The mathematical theory of infectious diseases and its applications","author":"N T J Bailey","year":"1975","unstructured":"Bailey, N. T. J. (1975). The mathematical theory of infectious diseases and its applications (2nd ed.). London: The Griffin & Company Ltd.","edition":"2"},{"key":"7_CR4","volume-title":"Analysis of infectious disease data","author":"N G Becker","year":"1989","unstructured":"Becker, N. G. (1989). Analysis of infectious disease data. London: Chapman and Hall\/CRC."},{"key":"7_CR5","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/S0378-3758(00)00323-2","volume":"96","author":"N G Becker","year":"2001","unstructured":"Becker, N. G., & Britton, T. (2001). Design issues of studies of infectious diseases. Journal of Statistical Planning and Inference, 96, 41\u201366.","journal-title":"Journal of Statistical Planning and Inference"},{"issue":"2","key":"7_CR6","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1111\/1467-9868.00076","volume":"59","author":"N G Becker","year":"1997","unstructured":"Becker, N. G., & Hasofer, A. M. (1997). Estimation in epidemics with incomplete observations. Journal of the Royal Statistical Society: Series B, 59(2), 415\u2013429.","journal-title":"Journal of the Royal Statistical Society: Series B"},{"key":"7_CR7","doi-asserted-by":"publisher","first-page":"1527","DOI":"10.1002\/sim.4780101005","volume":"10","author":"N G Becker","year":"1991","unstructured":"Becker, N. G., Watson, L. F., & Carlin, J. B. (1991). A method of non-parametric back-projection and its application to AIDS data. Statistics in Medicine, 10, 1527\u20131542.","journal-title":"Statistics in Medicine"},{"key":"7_CR8","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780195076417.001.0001","volume-title":"AIDS epidemiology: A quantitative approach","author":"R Brookmeyer","year":"1994","unstructured":"Brookmeyer, R., & Gail, M. H. (1994). AIDS epidemiology: A quantitative approach. New York, NY: Oxford University Press."},{"issue":"1821","key":"7_CR9","doi-asserted-by":"publisher","first-page":"2015","DOI":"10.1098\/rspb.2015.2026","volume":"282","author":"D Champredon","year":"2015","unstructured":"Champredon, D., & Dushoff, J. (2015). Intrinsic and realized generation intervals in infectious-disease transmission. Proceedings of the Royal Society B, 282(1821), 2015\u20132026.","journal-title":"Proceedings of the Royal Society B"},{"key":"7_CR10","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/j.jtbi.2005.11.026","volume":"241","author":"G Chowell","year":"2006","unstructured":"Chowell, G., Ammon, C. E., Hengartner, N. W., & Hyman, J. M. (2006). Transmission dynamics of the great influenza pandemic of 1918 in Geneva, Switzerland: Assessing the effects of hypothetical interventions. Journal of Theoretical Biology, 241, 193\u2013204.","journal-title":"Journal of Theoretical Biology"},{"key":"7_CR11","doi-asserted-by":"publisher","first-page":"1840","DOI":"10.1002\/sim.2352","volume":"25","author":"G Chowell","year":"2006","unstructured":"Chowell, G., Shim, E., Brauer, F., Diaz-Duenas, P., Hyman, J. M., & Castillo-Chavez, C. (2006). Modelling the transmission dynamics of acute haemorrhagic conjunctivitis: Application to the 2003 outbreak in Mexico. Statistics in Medicine, 25, 1840\u20131857.","journal-title":"Statistics in Medicine"},{"key":"7_CR12","volume-title":"The statistical analysis of recurrent events","author":"R J Cook","year":"2007","unstructured":"Cook, R. J., & Lawless, J. F. (2007). The statistical analysis of recurrent events. New York, NY: Springer."},{"key":"7_CR13","doi-asserted-by":"publisher","DOI":"10.1201\/9781315119731","volume-title":"Multistate models for the analysis of life history data","author":"R J Cook","year":"2018","unstructured":"Cook, R. J., & Lawless, J. F. (2018). Multistate models for the analysis of life history data. New York, NY: Chapman and Hall\/CRC."},{"key":"7_CR14","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139005036","volume-title":"Principles of applied statistics","author":"D R Cox","year":"2011","unstructured":"Cox, D. R., & Donnelly, C. A. (2011). Principles of applied statistics. Cambridge: Cambridge University Press."},{"key":"7_CR15","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511608834","volume-title":"Epidemic modelling, an introduction","author":"D J Daley","year":"1999","unstructured":"Daley, D. J., & Gani, J. (1999). Epidemic modelling, an introduction. Cambridge: Cambridge University Press."},{"key":"7_CR16","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1007\/BF00178324","volume":"28","author":"O Diekmann","year":"1990","unstructured":"Diekmann, O., Heesterbeek, J. A. P., & Metz, J. A. (1990). On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations. Journal of Mathematical Biology, 28, 365\u2013382.","journal-title":"Journal of Mathematical Biology"},{"key":"7_CR17","volume-title":"Statistical aspects of BSE and vCJD, models for epidemics","author":"C A Donnelly","year":"1999","unstructured":"Donnelly, C. A., & Ferguson, N. M. (1999). Statistical aspects of BSE and vCJD, models for epidemics. New York, NY: Chapman and Hall\/CRC."},{"key":"7_CR18","doi-asserted-by":"crossref","DOI":"10.1201\/9780429246593","volume-title":"An introduction to the bootstrap","author":"B Efron","year":"1994","unstructured":"Efron, B., & Tibshirani, R. J. (1994). An introduction to the bootstrap. New York, NY: CRC Press."},{"key":"7_CR19","doi-asserted-by":"publisher","first-page":"3431","DOI":"10.1002\/sim.2206","volume":"24","author":"V T Farewell","year":"2005","unstructured":"Farewell, V. T., Herzberg, A. M., James, K. W., Ho, L. M., & Leung, G. M. (2005). SARS incubation and quarantine times: When is an exposed individual known to be disease free? Statistics in Medicine, 24, 3431\u20133445.","journal-title":"Statistics in Medicine"},{"issue":"11","key":"7_CR20","doi-asserted-by":"publisher","first-page":"1039","DOI":"10.1093\/aje\/kwg251","volume":"158","author":"P E M Fine","year":"2003","unstructured":"Fine, P. E. M. (2003). The interval between successive cases of an infectious disease. American Journal of Epidemiology, 158(11), 1039\u20131047.","journal-title":"American Journal of Epidemiology"},{"key":"7_CR21","doi-asserted-by":"publisher","first-page":"231","DOI":"10.2307\/1403403","volume":"55","author":"V P Godambe","year":"1987","unstructured":"Godambe, V. P., & Heyde, C. C. (1987). Quasi-likelihood and optimal estimation. International Statistical Review, 55, 231\u2013244.","journal-title":"International Statistical Review"},{"key":"7_CR22","unstructured":"Hohle, M., & J\u00f8rgensen, E. (2003). Estimating parameters for stochastic epidemics. Dina Research Report, 102. http:\/\/staff.math.su.se\/hoehle\/pubs\/dina102.pdf"},{"key":"7_CR23","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1016\/S0140-6736(48)91328-2","volume":"2","author":"R E Hope Simpson","year":"1948","unstructured":"Hope Simpson, R. E. (1948). The period of transmission in certain epidemic diseases: An observational method for its discovery. Lancet, 2, 755\u2013760.","journal-title":"Lancet"},{"key":"7_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1096-2","volume-title":"Probability and statistical inference, vol 2: Statistical inference","author":"J G Kalbfleisch","year":"1985","unstructured":"Kalbfleisch, J. G. (1985). Probability and statistical inference, vol 2: Statistical inference (2nd ed.) New York: Springer.","edition":"2"},{"key":"7_CR25","doi-asserted-by":"publisher","first-page":"672","DOI":"10.1046\/j.1537-2995.1989.29890020437.x","volume":"29","author":"J D Kalbfleisch","year":"1989","unstructured":"Kalbfleisch, J. D., & Lawless, J. F. (1989). Estimating the incubation time distribution and expected number of cases of transfusion-associated acquired immune deficiency syndrome. Transfusion, 29, 672\u2013676.","journal-title":"Transfusion"},{"key":"7_CR26","first-page":"19","volume":"1","author":"J D Kalbfleisch","year":"1991","unstructured":"Kalbfleisch, J. D., & Lawless, J. F. (1991). Regression models for right truncated data with applications to AIDS incubation times and reporting lags. Statistica Sinica, 1, 19\u201332.","journal-title":"Statistica Sinica"},{"key":"7_CR27","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/j.mbs.2008.02.007","volume":"213","author":"E Kenah","year":"2008","unstructured":"Kenah, E., Lipsitch, M., & Robins, J. M. (2008). Generation interval contraction and epidemic data analysis. Mathematical Biosciences, 213, 71\u201379.","journal-title":"Mathematical Biosciences"},{"key":"7_CR28","unstructured":"Kosambi, D. D. (1949). Characteristic properties of series distributions. Proceedings of the National Institute for Science, India, 15, 109\u2013113."},{"key":"7_CR29","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-6849-3","volume-title":"Applied predictive modeling","author":"M Kuhn","year":"2013","unstructured":"Kuhn, M., & Johnson, K. (2013). Applied predictive modeling. New York, NY: Springer."},{"issue":"5","key":"7_CR30","first-page":"15","volume":"75","author":"S W Lagakos","year":"1988","unstructured":"Lagakos, S. W., Rarraj, L. M., & De Gruttola, V. (1988). Nonparametric analysis of truncated survival data, with application to AIDS. Biometrika, 75(5), 15\u201323.","journal-title":"Biometrika"},{"issue":"1","key":"7_CR31","doi-asserted-by":"publisher","first-page":"15","DOI":"10.2307\/3315826.n1","volume":"22","author":"J F Lawless","year":"1994","unstructured":"Lawless, J. F. (1994). Adjustments for reporting delays and the prediction of occurred but not reported events. The Canadian Journal of Statistics, 22(1), 15\u201331.","journal-title":"The Canadian Journal of Statistics"},{"key":"7_CR32","volume-title":"Statistical models and methods for lifetime data","author":"J F Lawless","year":"2003","unstructured":"Lawless, J. F. (2003). Statistical models and methods for lifetime data (2nd ed.). New York, NY: Wiley.","edition":"2"},{"key":"7_CR33","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1093\/biomet\/73.1.13","volume":"73","author":"K Y Liang","year":"1986","unstructured":"Liang, K. Y., & Zeger, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika, 73, 13\u201322.","journal-title":"Biometrika"},{"key":"7_CR34","volume-title":"Nonlinear models in medical statistics. Oxford statistical science series","author":"J K Lindsey","year":"2001","unstructured":"Lindsey, J. K. (2001). Nonlinear models in medical statistics. Oxford statistical science series (Vol. 24). Oxford: Oxford University Press."},{"key":"7_CR35","doi-asserted-by":"publisher","first-page":"1966","DOI":"10.1126\/science.1086616","volume":"300","author":"M Lipsitch","year":"2003","unstructured":"Lipsitch, M., Cohen, T., Cooper, B., Robins, J. M., Ma, S., James, L., et al. (2003). Transmission dynamics and control of severe acute respiratory syndrome. Science, 300, 1966\u20131970.","journal-title":"Science"},{"key":"7_CR36","doi-asserted-by":"crossref","unstructured":"Lui, K. J., Lawrence, D. N., Morgan, W. M., Peterman, T. A., Haverkos, H. W., & Bregrnan, D. J. (1986). A model-based approach for estimating the mean incubation period of transfusion-associated acquired immunodeficiency syndrome. Proceedings of the National Academy of Sciences, 83, 3051\u20133055.","DOI":"10.1073\/pnas.83.10.3051"},{"key":"7_CR37","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-3244-0","volume-title":"Generalized linear models","author":"P McCullagh","year":"1983","unstructured":"McCullagh, P., & Nelder, J. A. (1983). Generalized linear models. London: Chapman and Hall."},{"issue":"7","key":"7_CR38","first-page":"19","volume":"328","author":"G F Medley","year":"1987","unstructured":"Medley, G. F., Anderson, R. M., Cox, D. R., & Billard, I. (1987). Incubation period of AIDS in patients infected via blood transfusion. Nature, 328(7), 19\u201321.","journal-title":"Nature"},{"key":"7_CR39","doi-asserted-by":"publisher","first-page":"1","DOI":"10.2307\/1914288","volume":"16","author":"J Neyman","year":"1948","unstructured":"Neyman, J., & Scott, E. L. (1948). Consistent estimates based on partially consistent observations. Econometrica, 16, 1\u201332.","journal-title":"Econometrica"},{"issue":"4","key":"7_CR40","doi-asserted-by":"publisher","first-page":"851","DOI":"10.3934\/mbe.2010.7.851","volume":"7","author":"H Nishiura","year":"2010","unstructured":"Nishiura, H. (2010). Time variations in the generation time of an infectious diseases: Implications for sampling to appropriately quantify transmission potential. Mathematical Biosciences & Engineering, 7(4), 851\u2013869.","journal-title":"Mathematical Biosciences & Engineering"},{"key":"7_CR41","volume-title":"Epidemiology in country practice","author":"W Pickles","year":"1939","unstructured":"Pickles, W. (1939). Epidemiology in country practice. Bristol: John Wright and Sons."},{"key":"7_CR42","first-page":"1","volume-title":"Biased Sampling, Over-identified Parameter Problems and Beyond","author":"Jing Qin","year":"2017","unstructured":"Qin, J. (2017). Biased sampling. In Over-identified parameter problems and beyond (ICSA book series in statistics). Springer Nature Singapore. https:\/\/doi.org\/10.1007\/978-981-10-4856-2_1 ."},{"key":"7_CR43","doi-asserted-by":"publisher","first-page":"1923","DOI":"10.1093\/bioinformatics\/btp358","volume":"25","author":"A Raue","year":"2009","unstructured":"Raue, A., Kreutz, C., Maiwald, T., Bachmann, J., Schilling, M., Klingmuller, U., et al. (2009). Structural and practical identifiability analysis of partially observed dynamical models by exploiting the profile likelihood. Bioinformatics, 25, 1923\u20131929.","journal-title":"Bioinformatics"},{"key":"7_CR44","first-page":"209","volume":"53","author":"W N Rida","year":"1991","unstructured":"Rida, W. N. (1991). Asymptotic properties of some estimators for the infection rate in the general stochastic epidemic. Journal of Royal Statistical Society (B), 53, 209\u2013283.","journal-title":"Journal of Royal Statistical Society (B)"},{"key":"7_CR45","doi-asserted-by":"publisher","first-page":"803","DOI":"10.1007\/s00285-007-0112-8","volume":"55","author":"G M Roberts","year":"2007","unstructured":"Roberts, G. M., & Heesterbeek, J. A. P. (2007). Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection. Journal of Mathematical Biology, 55, 803\u2013816.","journal-title":"Journal of Mathematical Biology"},{"key":"7_CR46","unstructured":"Rohatgi, A., (2018). WebPlotDigitizer Version: 4.1. Austin, TX."},{"issue":"1","key":"7_CR47","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s12976-018-0097-6","volume":"16","author":"K Roosa","year":"2019","unstructured":"Roosa, K., & Chowell, G. (2019). Assessing parameter identifiability in compartmental dynamic models using a computational approach: Application to infectious disease transmission models. Theoretical Biology and Medical Modelling, 16(1), 1.","journal-title":"Theoretical Biology and Medical Modelling"},{"issue":"2","key":"7_CR48","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1016\/j.idm.2017.05.004","volume":"2","author":"A Smirnova","year":"2017","unstructured":"Smirnova, A., & Chowell, G. (2017). A primer on stable parameter estimation and forecasting in epidemiology by a problem-oriented regularized least squares algorithm. Infectious Disease Modeling, 2(2), 268\u2013275.","journal-title":"Infectious Disease Modeling"},{"key":"7_CR49","volume-title":"Statistical inference in science","author":"D A Sprott","year":"2000","unstructured":"Sprott, D. A. (2000). Statistical inference in science. New York, NY: Springer."},{"key":"7_CR50","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1016\/j.mbs.2006.10.010","volume":"208","author":"A A Svensson","year":"2007","unstructured":"Svensson, A. A. (2007). A note on generation times in epidemic models. Mathematical Biosciences, 208, 300\u2013311.","journal-title":"Mathematical Biosciences"},{"key":"7_CR51","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1016\/j.epidem.2019.01.003","volume":"26","author":"A. Tariq","year":"2019","unstructured":"Tariq, A., Roosa, K., Mizumoto, K., & Chowell, G. (2019). Assessing reporting delays and the effective reproduction number: The 2018\u201319 Ebola epidemic in DRC, May 2018-January 2019. Epidemics. https:\/\/doi.org\/10.1016\/j.epidem.2019.01.003","journal-title":"Epidemics"},{"key":"7_CR52","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1503\/cmaj.091807","volume":"182","author":"A R Tuite","year":"2010","unstructured":"Tuite, A. R., Greer, A. L., Whelan, M., Winter, A. L., Yan, P., Wu, J, et al. (2010). Estimated epidemiologic parameters and morbidity associated with pandemic H1N1 influenza. Canadian Medical Association Journal, 182, 131\u2013136.","journal-title":"Canadian Medical Association Journal"},{"key":"7_CR53","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/S0025-5564(02)00108-6","volume":"180","author":"P Driessche van den","year":"2002","unstructured":"van den Driessche, P., & Watmough, J. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical Biosciences, 180, 29\u201348.","journal-title":"Mathematical Biosciences"},{"key":"7_CR54","unstructured":"Wald, A. (1943). A method of estimating plane vulnerability based on damage pf survivors. Statistical Research Group, Columbia University. CRC (Vol. 432). Arlington County, VA: Center for Naval Analyses."},{"key":"7_CR55","doi-asserted-by":"crossref","unstructured":"Wallinga, J., & Lipsitch, M. (2007). How generation intervals shape the relationship between growth rates and reproductive numbers. Proceedings of Royal Society B, 274, 599\u2013604.","DOI":"10.1098\/rspb.2006.3754"},{"key":"7_CR56","doi-asserted-by":"crossref","unstructured":"Wang, M. C. (2005) Length bias. In Encyclopedia of biostatistics. New York, NY: Wiley. https:\/\/doi.org\/10.1002\/0470011815.b2a11044","DOI":"10.1002\/0470011815.b2a11044"},{"key":"7_CR57","doi-asserted-by":"publisher","first-page":"2999","DOI":"10.1002\/sim.3136","volume":"27","author":"L F White","year":"2008","unstructured":"White, L. F., & Pagano, M. (2008). A likelihood-based method for real-time estimation of the serial interval and reproductive number of an epidemic. Statistics in Medicine, 27, 2999\u20133016.","journal-title":"Statistics in Medicine"},{"key":"7_CR58","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1016\/j.orhc.2018.03.007","volume":"19","author":"Ping Yan","year":"2018","unstructured":"Yan, P., & Zhang, F. (2018). A case study of nonlinear programming approach for repeated testing of HIV in a population stratified by subpopulations according to different risks of new infections. Operations Research for Health Care. https:\/\/doi.org\/10.1016\/j.orhc.2018.03.007","journal-title":"Operations Research for Health Care"},{"key":"7_CR59","doi-asserted-by":"publisher","first-page":"1","DOI":"10.2202\/1948-4690.1011","volume":"3","author":"P Yan","year":"2011","unstructured":"Yan, P., Zhang, F., & Wand, H. (2011). Using HIV diagnostic data to estimate HIV incidence: Method and simulation. Statistical Communications in Infectious Diseases, 3, 1.","journal-title":"Statistical Communications in Infectious Diseases"}],"container-title":["Texts in Applied Mathematics","Quantitative Methods for Investigating Infectious Disease Outbreaks"],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-21923-9_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,22]],"date-time":"2024-07-22T03:01:16Z","timestamp":1721617276000},"score":21.50913,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-21923-9_7"}},"issued":{"date-parts":[[2019]]},"ISBN":["9783030219222","9783030219239"],"references-count":59,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-21923-9_7","ISSN":["0939-2475","2196-9949"],"issn-type":[{"type":"print","value":"0939-2475"},{"type":"electronic","value":"2196-9949"}],"published":{"date-parts":[[2019]]},"assertion":[{"value":"17 August 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]},{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T17:05:24Z","timestamp":1753895124306,"version":"3.41.2"},"reference-count":0,"publisher":"Leibniz Institute for Psychology (ZPID)","content-domain":{"domain":["qcmb.psychopen.eu"],"crossmark-restriction":false},"short-container-title":["Quant. Comput. Methods Behav. Sci."],"DOI":"10.5964\/qcmb.6205","type":"journal-article","created":{"date-parts":[[2021,5,11]],"date-time":"2021-05-11T08:01:17Z","timestamp":1620720077000},"update-policy":"https:\/\/doi.org\/10.5964\/psychopen.cmp","source":"Crossref","is-referenced-by-count":0,"title":["Quantitative psychology as mediator between mathematics and psychology"],"prefix":"10.5964","volume":"1","author":[{"given":"Timo","family":"von Oertzen","sequence":"first","affiliation":[]}],"member":"1941","published-online":{"date-parts":[[2021,5,11]]},"container-title":["Quantitative and Computational Methods in Behavioral Sciences"],"link":[{"URL":"https:\/\/qcmb.psychopen.eu\/index.php\/qcmb\/article\/download\/6205\/6205.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/qcmb.psychopen.eu\/index.php\/qcmb\/article\/view\/6205\/6205.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/qcmb.psychopen.eu\/index.php\/qcmb\/article\/download\/6205\/6205.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,12]],"date-time":"2021-11-12T17:42:42Z","timestamp":1636738962000},"score":21.352797,"resource":{"primary":{"URL":"https:\/\/qcmb.psychopen.eu\/index.php\/qcmb\/article\/view\/6205"}},"issued":{"date-parts":[[2021,5,11]]},"references-count":0,"URL":"https:\/\/doi.org\/10.5964\/qcmb.6205","ISSN":["2699-8432"],"issn-type":[{"type":"electronic","value":"2699-8432"}],"published":{"date-parts":[[2021,5,11]]},"assertion":[{"value":"PsychOpen, the European Open-Access Publishing Platform for Psychology","name":"publisher","label":"This article is published by"},{"value":"Editorial","name":"content_type","label":"Content Type"},{"value":"Quantitative psychology as mediator between mathematics and psychology","name":"articletitle","label":"Article Title"},{"value":"Quantitative and Computational Methods in Behavioral Sciences","name":"journaltitle","label":"Journal Title"},{"value":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"copyright","label":"Copyright"},{"value":"2021-05-11","name":"published","label":"Published"}],"article-number":"e6205"},{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T12:52:07Z","timestamp":1725886327460},"publisher-location":"London","reference-count":2,"publisher":"Macmillan Education UK","isbn-type":[{"type":"print","value":"9780230218185"},{"type":"electronic","value":"9780230365810"}],"license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2009]]},"DOI":"10.1007\/978-0-230-36581-0_1","type":"book-chapter","created":{"date-parts":[[2017,5,2]],"date-time":"2017-05-02T08:43:53Z","timestamp":1493714633000},"page":"3-16","source":"Crossref","is-referenced-by-count":0,"title":["Revision Mathematics"],"prefix":"10.1007","author":[{"given":"Les","family":"Oakshott","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"1_CR1","volume-title":"Refresher in Basic Maths","author":"N Rowe","year":"2000","unstructured":"Rowe, N. (2000) Refresher in Basic Maths, second edition, Continuum International Publication Group.","edition":"2"},{"key":"1_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-137-04101-2","volume-title":"Essential Maths for Business and Management","author":"C Morris","year":"2007","unstructured":"Morris, C. (with E. Thanassoulis) (2007) Essential Maths for Business and Management, Palgrave Macmillan."}],"container-title":["Essential Quantitative Methods"],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-0-230-36581-0_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,2]],"date-time":"2017-05-02T08:44:15Z","timestamp":1493714655000},"score":21.233583,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-0-230-36581-0_1"}},"issued":{"date-parts":[[2009]]},"ISBN":["9780230218185","9780230365810"],"references-count":2,"URL":"https:\/\/doi.org\/10.1007\/978-0-230-36581-0_1","published":{"date-parts":[[2009]]}},{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T05:21:42Z","timestamp":1743139302204,"version":"3.40.3"},"publisher-location":"London","reference-count":1,"publisher":"Macmillan Education UK","isbn-type":[{"type":"print","value":"9781137518552"},{"type":"electronic","value":"9781137518569"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-1-137-51856-9_1","type":"book-chapter","created":{"date-parts":[[2016,11,4]],"date-time":"2016-11-04T00:26:35Z","timestamp":1478219195000},"page":"2-13","source":"Crossref","is-referenced-by-count":0,"title":["Revision mathematics"],"prefix":"10.1007","author":[{"given":"Les","family":"Oakshott","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"1_CR1","unstructured":"There are a number of texts that are designed to help the student with basic mathematics such as Rowe (2002) and Morris (2007). There are also many online sources such as the BBC\u2019s Skillswise (\n                  http:\/\/www.bbc.co.uk\n                  \n                \/skillswise\/numbers\/wholenumbers\/) which is part of their online learning support series (\n                  http:\/\/www.bbc.co.uk\n                  \n                \/learning\/subjects\/maths\/shtml)."}],"container-title":["Essential Quantitative Methods"],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-137-51856-9_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,2,6]],"date-time":"2017-02-06T04:36:10Z","timestamp":1486355770000},"score":21.219227,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-1-137-51856-9_1"}},"issued":{"date-parts":[[2016]]},"ISBN":["9781137518552","9781137518569"],"references-count":1,"URL":"https:\/\/doi.org\/10.1007\/978-1-137-51856-9_1","published":{"date-parts":[[2016]]}},{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:21:47Z","timestamp":1720225307672},"edition-number":"4","reference-count":0,"publisher":"Bloomsbury Publishing Plc","isbn-type":[{"value":"9781350928879","type":"electronic"},{"value":"9781352007886","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.5040\/9781350928879.ch-010","type":"other","created":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:50Z","timestamp":1720177130000},"page":"130-137","source":"Crossref","is-referenced-by-count":0,"title":["Test your knowledge"],"prefix":"10.5040","member":"2984","container-title":["Quantitative Methods"],"deposited":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:59:13Z","timestamp":1720177153000},"score":21.20964,"resource":{"primary":{"URL":"https:\/\/www.bloomsburycollections.com\/encyclopedia-chapter?docid=b-9781350928879&tocid=b-9781350928879-chapter10"}},"issued":{"date-parts":[[2019]]},"ISBN":["9781350928879","9781352007886"],"references-count":0,"URL":"https:\/\/doi.org\/10.5040\/9781350928879.ch-010","published":{"date-parts":[[2019]]}},{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:19:20Z","timestamp":1720225160967},"edition-number":"4","reference-count":0,"publisher":"Bloomsbury Publishing Plc","isbn-type":[{"value":"9781350928879","type":"electronic"},{"value":"9781352007886","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.5040\/9781350928879.ch-004","type":"other","created":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:50Z","timestamp":1720177130000},"page":"54-62","source":"Crossref","is-referenced-by-count":0,"title":["Test your knowledge"],"prefix":"10.5040","member":"2984","container-title":["Quantitative Methods"],"deposited":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:59:01Z","timestamp":1720177141000},"score":21.20182,"resource":{"primary":{"URL":"https:\/\/www.bloomsburycollections.com\/encyclopedia-chapter?docid=b-9781350928879&tocid=b-9781350928879-chapter4"}},"issued":{"date-parts":[[2019]]},"ISBN":["9781350928879","9781352007886"],"references-count":0,"URL":"https:\/\/doi.org\/10.5040\/9781350928879.ch-004","published":{"date-parts":[[2019]]}},{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:21:24Z","timestamp":1720225284934},"edition-number":"4","reference-count":0,"publisher":"Bloomsbury Publishing Plc","isbn-type":[{"value":"9781350928879","type":"electronic"},{"value":"9781352007886","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.5040\/9781350928879.ch-007","type":"other","created":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:50Z","timestamp":1720177130000},"page":"83-90","source":"Crossref","is-referenced-by-count":0,"title":["Test your knowledge"],"prefix":"10.5040","member":"2984","container-title":["Quantitative Methods"],"deposited":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:59:06Z","timestamp":1720177146000},"score":21.179306,"resource":{"primary":{"URL":"https:\/\/www.bloomsburycollections.com\/encyclopedia-chapter?docid=b-9781350928879&tocid=b-9781350928879-chapter7"}},"issued":{"date-parts":[[2019]]},"ISBN":["9781350928879","9781352007886"],"references-count":0,"URL":"https:\/\/doi.org\/10.5040\/9781350928879.ch-007","published":{"date-parts":[[2019]]}},{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:20:25Z","timestamp":1720225225165},"edition-number":"4","reference-count":0,"publisher":"Bloomsbury Publishing Plc","isbn-type":[{"value":"9781350928879","type":"electronic"},{"value":"9781352007886","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"abstract":"<JATS1:p>This clearly written and engaging textbook equips readers with the essential numerical skills needed to succeed both in the study of business and in the real world of work. Concise and accessible, it revises key areas such as decimals, fractions and percentages, before moving on to apply these directly in for example interest calculations, discounts and salaries. Building its reader\u2019s skills and confidence, the coverage moves from simple arithmetic to quantitative and statistical tools, teaching students how to present, summarize and communicate data in a persuasive way to decision makers. Throughout, the book illustrates how these fundamental mathematical techniques and operations can be used to solve business problems and make informed decisions in real business environments. With a wealth of approachable examples and practical applied exercises, this textbook encourages interactive learning. Embedded and end-of-chapter review questions then reinforce that learning. Some practice sections come with answers to support self-study, while others can be used by lecturers to test students\u2019 progress. There are also practice exam papers, and exam papers for lecturers to set. Approachable and practical, this textbook is an essential companion for undergraduate and FE students on business and management courses. It is also an ideal text for students of all levels wanting to refresh their numerical skills in a business context.<\/JATS1:p>","DOI":"10.5040\/9781350928879","type":"book","created":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:50Z","timestamp":1720177130000},"source":"Crossref","is-referenced-by-count":0,"title":["Quantitative Methods"],"prefix":"10.5040","author":[{"given":"Mark","family":"Cleary","sequence":"first","affiliation":[]},{"given":"Jas","family":"Naidoo","sequence":"additional","affiliation":[]}],"member":"2984","deposited":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:53Z","timestamp":1720177133000},"score":21.161892,"resource":{"primary":{"URL":"https:\/\/www.bloomsburycollections.com\/encyclopedia?docid=b-9781350928879"}},"subtitle":["Mathematics for Business"],"issued":{"date-parts":[[2019]]},"ISBN":["9781350928879","9781352007886"],"references-count":0,"URL":"https:\/\/doi.org\/10.5040\/9781350928879","published":{"date-parts":[[2019]]}},{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T06:18:09Z","timestamp":1743056289077,"version":"3.40.3"},"publisher-location":"London","reference-count":1,"publisher":"Macmillan Education UK","isbn-type":[{"type":"print","value":"9780230302662"},{"type":"electronic","value":"9781137014320"}],"license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-1-137-01432-0_1","type":"book-chapter","created":{"date-parts":[[2017,1,19]],"date-time":"2017-01-19T23:03:40Z","timestamp":1484867020000},"page":"3-15","source":"Crossref","is-referenced-by-count":0,"title":["Revision mathematics"],"prefix":"10.1007","author":[{"given":"Les","family":"Oakshott","sequence":"first","affiliation":[]}],"member":"297","reference":[{"unstructured":"There are a number of texts that are designed to help the student with basic mathematics such as Rowe (2002) and Morris (2007). There are also many online sources such as the BBC\u2019s Skillswise (\n                  http:\/\/www.bbc.co.uk\n                  \n                \/skillswise\/numbers\/wholenumbers\/) which is part of their online learning support series (\n                  www.bbc.co.uk\n                  \n                \/learning\/subjects\/maths\/shtml).","key":"1_CR1"}],"container-title":["Essential Quantitative Methods"],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-137-01432-0_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,2,6]],"date-time":"2017-02-06T05:35:04Z","timestamp":1486359304000},"score":21.161427,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-1-137-01432-0_1"}},"issued":{"date-parts":[[2012]]},"ISBN":["9780230302662","9781137014320"],"references-count":1,"URL":"https:\/\/doi.org\/10.1007\/978-1-137-01432-0_1","published":{"date-parts":[[2012]]}},{"indexed":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T07:54:36Z","timestamp":1726041276978},"publisher-location":"Cham","reference-count":34,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030219222"},{"type":"electronic","value":"9783030219239"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-21923-9_3","type":"book-chapter","created":{"date-parts":[[2019,8,16]],"date-time":"2019-08-16T11:02:43Z","timestamp":1565953363000},"page":"47-77","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Random Counts and Counting Processes"],"prefix":"10.1007","author":[{"given":"Ping","family":"Yan","sequence":"first","affiliation":[]},{"given":"Gerardo","family":"Chowell","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,8,17]]},"reference":[{"key":"3_CR1","doi-asserted-by":"crossref","DOI":"10.1201\/b12537","volume-title":"An introduction to stochastic processes with applications to biology","author":"L J Allen","year":"2010","unstructured":"Allen, L. J. (2010). An introduction to stochastic processes with applications to biology. Boca Raton, FL: CRC Press."},{"key":"3_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4348-9","volume-title":"Statistical models based on counting processes","author":"P K Andersen","year":"1993","unstructured":"Andersen, P. K., Borgan, O., Gill, R. D., & Keiding, N. (1993). Statistical models based on counting processes. New York, NY: Springer."},{"key":"3_CR3","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1126\/science.286.5439.509","volume":"286","author":"A L Barab\u00e1si","year":"1999","unstructured":"Barab\u00e1si, A. L., & Albert, R. (1999). Emergence of scaling in random network. Science, 286, 509\u2013512.","journal-title":"Science"},{"key":"3_CR4","volume-title":"An introduction to stochastic processes","author":"M S Bartlett","year":"1955","unstructured":"Bartlett, M. S. (1955). An introduction to stochastic processes. London: Cambridge University Press."},{"key":"3_CR5","volume-title":"Stochastic processes with applications","author":"R N Bhattacharya","year":"1990","unstructured":"Bhattacharya, R. N., & Waymire, E. C. (1990). Stochastic processes with applications. New York, NY: Wiley."},{"key":"3_CR6","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1080\/03461238.1979.10413718","volume":"2\u20133","author":"L Bondesson","year":"1979","unstructured":"Bondesson, L. (1979). On generalized gamma and generalized negative binomial convolutions, part II. Scandinavian Actuarial Journal, 2\u20133, 147\u2013166.","journal-title":"Scandinavian Actuarial Journal"},{"key":"3_CR7","volume-title":"The statistical analysis of recurrent events","author":"R J Cook","year":"2007","unstructured":"Cook, R. J., & Lawless, J. F. (2007). The statistical analysis of recurrent events. New York, NY: Springer."},{"key":"3_CR8","volume-title":"The causation of bus driver accidents","author":"W L Cresswell","year":"1963","unstructured":"Cresswell, W. L., & Froggatt, P. (1963). The causation of bus driver accidents. London: Oxford University Press."},{"key":"3_CR9","first-page":"396","volume":"37","author":"K Crump","year":"1975","unstructured":"Crump, K. (1975). On point processes having an order statistic structure. Sankhya, Series A, 37, 396\u2013404.","journal-title":"Sankhya, Series A"},{"key":"3_CR10","first-page":"3","volume-title":"Epidemic models: Their structure and relation to data","author":"K Dietz","year":"1995","unstructured":"Dietz, K. (1995). Some problems in the theory of infectious diseases transmission and control. In D. Mollison (Ed.), Epidemic models: Their structure and relation to data (pp. 3\u201316). Cambridge: Cambridge University Press."},{"key":"3_CR11","doi-asserted-by":"publisher","first-page":"771","DOI":"10.1239\/jap\/1032374633","volume":"36","author":"C P Farrington","year":"1999","unstructured":"Farrington, C. P., & Grant, A. D. (1999). The distribution of time to extinction in subcritical branching processes: Applications to outbreaks of infectious disease. Journal of Applied Probability, 36, 771\u2013779","journal-title":"Journal of Applied Probability"},{"key":"3_CR12","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1093\/biostatistics\/4.2.279","volume":"4","author":"C P Farrington","year":"2003","unstructured":"Farrington, C. P., Kanaan, M., & Gay, J. N. (2003). Branching process models for surveillance of infectious diseases controlled by mass vaccination. Biostatistics, 4, 279\u2013295.","journal-title":"Biostatistics"},{"key":"3_CR13","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1214\/aoms\/1177731359","volume":"14","author":"W Feller","year":"1943","unstructured":"Feller, W. (1943). On a generalized class of contagious distributions. Annuals of Mathematical Statistics, 14, 389\u2013400.","journal-title":"Annuals of Mathematical Statistics"},{"key":"3_CR14","volume-title":"Counting processes and survival analysis","author":"T R Fleming","year":"1991","unstructured":"Fleming, T. R., & Harrington, D. P. (1991). Counting processes and survival analysis. New York, NY: Wiley."},{"key":"3_CR15","doi-asserted-by":"publisher","first-page":"255","DOI":"10.2307\/2341080","volume":"83","author":"M Greenwood","year":"1920","unstructured":"Greenwood, M., & Yule, G. (1920). An inquiry into the nature of frequency distributions representative of multiple happenings with particular reference to occurrence of multiple attacks of diseases or of repeated accidents. Journal of the Royal Statistical Society A, 83, 255\u2013279.","journal-title":"Journal of the Royal Statistical Society A"},{"issue":"2","key":"3_CR16","first-page":"101","volume":"7","author":"J O Irwin","year":"1941","unstructured":"Irwin, J. O. (1941). Discussion on chambers and Yule\u2019s paper. Journal of Royal Statistical Society, 7(2), 101\u2013109.","journal-title":"Journal of Royal Statistical Society"},{"key":"3_CR17","volume-title":"Univariate discrete distributions","author":"N Johnson","year":"1993","unstructured":"Johnson, N., Kotz, S., & Kemp, A. W. (1993). Univariate discrete distributions (2nd ed.). New York, NY: Wiley.","edition":"2"},{"issue":"1","key":"3_CR18","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1111\/j.1751-5823.2005.tb00250.x","volume":"73","author":"D Karlis","year":"2005","unstructured":"Karlis, D., & Xekalaki, E. (2005). Mixed Poisson distributions. International Statistical Review, 73(1), 35\u201358.","journal-title":"International Statistical Review"},{"key":"3_CR19","unstructured":"Kosambi, D. D. (1949). Characteristic properties of series distributions. Proceedings of the National Institute for Science, India, 15, 109\u2013113."},{"key":"3_CR20","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1016\/S1286-4579(02)00058-8","volume":"3","author":"F Liljeros","year":"2003","unstructured":"Liljeros, F., Edling, C. R., & Amaral, L. A. N. (2003). Sexual networks: Implications for the transmission of sexually transmitted infections. Microbes and Infection, 3, 189\u2013196.","journal-title":"Microbes and Infection"},{"key":"3_CR21","doi-asserted-by":"publisher","first-page":"1738","DOI":"10.1016\/j.aap.2011.04.004","volume":"43","author":"D Lord","year":"2011","unstructured":"Lord, D., & Geedipally, R. S. (2011). The negative binomial\u2013Lindley distribution as a tool for analyzing crash data characterized by a large amount of zeros. Accident Analysis & Prevention, 43, 1738\u20131742.","journal-title":"Accident Analysis & Prevention"},{"key":"3_CR22","first-page":"203","volume":"15","author":"J Lynch","year":"1988","unstructured":"Lynch, J. (1988). Mixtures, generalized convexity and balayages. Scandinavian Journal of Statistics, 15, 203\u2013210.","journal-title":"Scandinavian Journal of Statistics"},{"key":"3_CR23","doi-asserted-by":"crossref","unstructured":"McKendrick, A. G. (1925). The applications of mathematics to medical problems. Proceedings of Edinburgh Mathematical Society, 44, 98\u2013130.","DOI":"10.1017\/S0013091500034428"},{"issue":"1","key":"3_CR24","doi-asserted-by":"publisher","first-page":"5","DOI":"10.2143\/AST.25.1.563250","volume":"25","author":"H H Panjer","year":"1982","unstructured":"Panjer, H. H., & Willmot, G. E. (1982). Recursions for compound distributions. ASTIN Bulletin, 25(1), 5\u201317.","journal-title":"ASTIN Bulletin"},{"key":"3_CR25","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1111\/j.2517-6161.1980.tb01118.x","volume":"42","author":"M Shaked","year":"1980","unstructured":"Shaked, M. (1980). On mixtures from exponential families. Journal of Royal Statistical Society B, 42, 192\u2013198.","journal-title":"Journal of Royal Statistical Society B"},{"key":"3_CR26","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1093\/biomet\/42.3-4.425","volume":"42","author":"H A Simon","year":"1955","unstructured":"Simon, H. A. (1955). On a class of skew distribution functions. Biometrika, 42, 425\u2013440.","journal-title":"Biometrika"},{"key":"3_CR27","unstructured":"Simon, L. J. (1962). An introduction to the negative binomial distribution and its applications. Proceedings, Casuality Acturial Society (No. 91, Vol. XLIX, Part 1)."},{"key":"3_CR28","doi-asserted-by":"crossref","unstructured":"Stumpf, M. Wiuf, C., & May, R. (2005). Subset of scale-free networks are not scale free: Sampling properties of networks. Proceedings of the National Academy of Sciences, 102, 4221\u20134224.","DOI":"10.1073\/pnas.0501179102"},{"key":"3_CR29","first-page":"114","volume":"2","author":"G E Willmot","year":"1993","unstructured":"Willmot, G. E. (1993). On recursive evaluation of mixed Poisson probabilities and related quantities. Scandnavian Acturarial Journal, 2, 114\u2013133.","journal-title":"Scandnavian Acturarial Journal"},{"issue":"3","key":"3_CR30","doi-asserted-by":"publisher","first-page":"887","DOI":"10.2307\/2531324","volume":"39","author":"E Xekalaki","year":"1983","unstructured":"Xekalaki, E. (1983). The univariate generalized Waring distribution in relation to accident theory: Proneness, spells or contagion? Biometrics, 39(3), 887\u2013895.","journal-title":"Biometrics"},{"key":"3_CR31","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1186\/s40488-014-0019-z","volume":"1","author":"E Xekalaki","year":"2014","unstructured":"Xekalaki, E. (2014). On the distribution theory of over-dispersion. Journal of Statistical Distributions and Applications, 1, 19.","journal-title":"Journal of Statistical Distributions and Applications"},{"issue":"12","key":"3_CR32","doi-asserted-by":"publisher","first-page":"1835","DOI":"10.1080\/03610920801893707","volume":"37","author":"E Xekalaki","year":"2008","unstructured":"Xekalaki, E., & Zografi, M. (2008). The generalized waring process and its application. Communications in Statistics\u2014Theory and Methods, 37(12), 1835\u20131854.","journal-title":"Communications in Statistics\u2014Theory and Methods"},{"issue":"1","key":"3_CR33","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1137\/1133028","volume":"33","author":"E A Xekalaki","year":"2006","unstructured":"Xekalaki, E. A., & Panaretos, J. (2006). On the association of the Pareto and the Yule distribution. Theory of Probability and Its Applications, 33(1), 191\u2013195.","journal-title":"Theory of Probability and Its Applications"},{"key":"3_CR34","volume-title":"Human behaviour and the principle of least effort","author":"G K Zipf","year":"1949","unstructured":"Zipf, G. K. (1949). Human behaviour and the principle of least effort. Cambridge, MA: Addison-Wesley."}],"container-title":["Texts in Applied Mathematics","Quantitative Methods for Investigating Infectious Disease Outbreaks"],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-21923-9_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,22]],"date-time":"2024-07-22T03:01:09Z","timestamp":1721617269000},"score":21.085135,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-21923-9_3"}},"issued":{"date-parts":[[2019]]},"ISBN":["9783030219222","9783030219239"],"references-count":34,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-21923-9_3","ISSN":["0939-2475","2196-9949"],"issn-type":[{"type":"print","value":"0939-2475"},{"type":"electronic","value":"2196-9949"}],"published":{"date-parts":[[2019]]},"assertion":[{"value":"17 August 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]},{"indexed":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T12:48:31Z","timestamp":1765370911587,"version":"3.46.0"},"reference-count":0,"publisher":"Academic Publications","issue":"12s","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ijam"],"abstract":"<jats:p>The findings presented allow for an understanding of the relevance of research approaches as guiding axes of the scientific process. Each approach quantitative, qualitative, and mixed responds to distinct epistemological assumptions that shape how reality is observed, analyzed, and interpreted. While the quantitative approach prioritizes objective measurement, control, and hypothesis testing through numerical data, the qualitative approach focuses on the deep interpretation of meanings, experiences, and sociocultural contexts. The mixed approach, in turn, integrates both perspectives, recognizing the complexity of social phenomena and enabling broader and complementary analyses. Thus, the selection of an approach depends directly on the research problem, the type of question, and the required epistemological coherence. Understanding these foundations allows researchers to make coherent methodological decisions and construct consistent, rigorous knowledge aligned with the nature of the phenomenon studied.<\/jats:p>","DOI":"10.12732\/ijam.v38i12s.1407","type":"journal-article","created":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T09:34:59Z","timestamp":1765359299000},"page":"595-607","source":"Crossref","is-referenced-by-count":0,"title":["QUANTITATIVE, QUALITATIVE, AND MIXED METHODS APPROACHES IN SCIENTIFIC RESEARCH: CONCEPTUAL FOUNDATIONS, DIFFERENCES, AND APPLICATIONS"],"prefix":"10.12732","volume":"38","author":[{"family":"Alberto Jos\u00e9 Rivadeneira Hoyos","sequence":"first","affiliation":[]}],"member":"4985","published-online":{"date-parts":[[2025,12,6]]},"container-title":["International Journal of Applied Mathematics"],"link":[{"URL":"https:\/\/ijamjournal.org\/ijam\/publication\/index.php\/ijam\/article\/download\/1407\/1280","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/ijamjournal.org\/ijam\/publication\/index.php\/ijam\/article\/download\/1407\/1280","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T09:35:00Z","timestamp":1765359300000},"score":20.872032,"resource":{"primary":{"URL":"https:\/\/ijamjournal.org\/ijam\/publication\/index.php\/ijam\/article\/view\/1407"}},"issued":{"date-parts":[[2025,12,6]]},"references-count":0,"journal-issue":{"issue":"12s","published-online":{"date-parts":[[2025,12,6]]}},"URL":"https:\/\/doi.org\/10.12732\/ijam.v38i12s.1407","ISSN":["1314-8060"],"issn-type":[{"value":"1314-8060","type":"electronic"}],"published":{"date-parts":[[2025,12,6]]}},{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:20:51Z","timestamp":1720225251751},"edition-number":"4","reference-count":0,"publisher":"Bloomsbury Publishing Plc","isbn-type":[{"value":"9781350928879","type":"electronic"},{"value":"9781352007886","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.5040\/9781350928879.ch-001","type":"other","created":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:50Z","timestamp":1720177130000},"page":"3-21","source":"Crossref","is-referenced-by-count":0,"title":["Arithmetic operations and rounding"],"prefix":"10.5040","member":"2984","container-title":["Quantitative Methods"],"deposited":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:57Z","timestamp":1720177137000},"score":20.86475,"resource":{"primary":{"URL":"https:\/\/www.bloomsburycollections.com\/encyclopedia-chapter?docid=b-9781350928879&tocid=b-9781350928879-chapter1"}},"issued":{"date-parts":[[2019]]},"ISBN":["9781350928879","9781352007886"],"references-count":0,"URL":"https:\/\/doi.org\/10.5040\/9781350928879.ch-001","published":{"date-parts":[[2019]]}},{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:23:55Z","timestamp":1720225435249},"edition-number":"4","reference-count":0,"publisher":"Bloomsbury Publishing Plc","isbn-type":[{"value":"9781350928879","type":"electronic"},{"value":"9781352007886","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2019]]},"DOI":"10.5040\/9781350928879.ch-011","type":"other","created":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:58:50Z","timestamp":1720177130000},"page":"138-143","source":"Crossref","is-referenced-by-count":0,"title":["Drawing charts using Excel"],"prefix":"10.5040","member":"2984","container-title":["Quantitative Methods"],"deposited":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T10:59:15Z","timestamp":1720177155000},"score":20.856964,"resource":{"primary":{"URL":"https:\/\/www.bloomsburycollections.com\/encyclopedia-chapter?docid=b-9781350928879&tocid=b-9781350928879-chapter11"}},"issued":{"date-parts":[[2019]]},"ISBN":["9781350928879","9781352007886"],"references-count":0,"URL":"https:\/\/doi.org\/10.5040\/9781350928879.ch-011","published":{"date-parts":[[2019]]}}],"items-per-page":20,"query":{"start-index":0,"search-terms":"Applied+mathematics.+Quantitative+methods"}}}