{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T22:13:58Z","timestamp":1764713638942,"version":"3.37.3"},"reference-count":29,"publisher":"Wiley","license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2017]]},"abstract":"<jats:p>We implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the model and we make a comparison between this model and an exponential one, based on an approximation of Bayes factor. A simulation study is carried out to show the performance of the estimators and the Bayes factor. Finally, we present a real data example to illustrate the effectiveness of the method proposed here and the pertinence of using a fractional model.<\/jats:p>","DOI":"10.1155\/2017\/9654506","type":"journal-article","created":{"date-parts":[[2017,1,23]],"date-time":"2017-01-23T21:07:23Z","timestamp":1485205643000},"page":"1-9","source":"Crossref","is-referenced-by-count":7,"title":["Bayesian Analysis for a Fractional Population Growth Model"],"prefix":"10.1155","volume":"2017","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1414-8490","authenticated-orcid":true,"given":"Francisco J.","family":"Ariza-Hernandez","sequence":"first","affiliation":[{"name":"Facultad de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, 39087 Chilpancingo, GRO, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0598-1859","authenticated-orcid":true,"given":"Jorge","family":"Sanchez-Ortiz","sequence":"additional","affiliation":[{"name":"Facultad de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, 39087 Chilpancingo, GRO, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1637-8513","authenticated-orcid":true,"given":"Martin P.","family":"Arciga-Alejandre","sequence":"additional","affiliation":[{"name":"Facultad de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, 39087 Chilpancingo, GRO, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luis X.","family":"Vivas-Cruz","sequence":"additional","affiliation":[{"name":"Facultad de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, 39087 Chilpancingo, GRO, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"doi-asserted-by":"publisher","key":"1","DOI":"10.1007\/978-1-84996-335-0"},{"doi-asserted-by":"publisher","key":"2","DOI":"10.2478\/s13540-011-0021-9"},{"doi-asserted-by":"publisher","key":"3","DOI":"10.1186\/s13662-015-0613-5"},{"doi-asserted-by":"publisher","key":"4","DOI":"10.1088\/0266-5611\/31\/3\/035003"},{"volume":"160","year":"2006","series-title":"Applied Mathematical Sciences","key":"5"},{"year":"2014","series-title":"Monographs and Research Notes in Mathematics","key":"6"},{"doi-asserted-by":"publisher","key":"7","DOI":"10.1137\/1.9780898717921"},{"doi-asserted-by":"publisher","key":"8","DOI":"10.1111\/j.1541-0420.2009.01342.x"},{"doi-asserted-by":"publisher","key":"9","DOI":"10.1137\/140976777"},{"doi-asserted-by":"publisher","key":"10","DOI":"10.1088\/0266-5611\/30\/11\/110301"},{"volume-title":"The Bayesian approach to inverse problems","year":"2016","series-title":"Lecture Notes in Computer Science","key":"11"},{"doi-asserted-by":"publisher","key":"12","DOI":"10.1016\/j.physa.2015.02.037"},{"doi-asserted-by":"publisher","key":"13","DOI":"10.1016\/j.camwa.2015.12.030"},{"doi-asserted-by":"publisher","key":"14","DOI":"10.1080\/01621459.1990.10476213"},{"doi-asserted-by":"publisher","key":"15","DOI":"10.2307\/2685208"},{"doi-asserted-by":"publisher","key":"16","DOI":"10.1063\/1.1699114"},{"doi-asserted-by":"publisher","key":"17","DOI":"10.2307\/2684568"},{"year":"2014","key":"20"},{"issue":"3","key":"21","first-page":"1","volume":"12","year":"2005","journal-title":"Journal of Statistical Software"},{"doi-asserted-by":"publisher","key":"25","DOI":"10.1214\/aos\/1056562461"},{"doi-asserted-by":"publisher","key":"26","DOI":"10.2307\/2347565"},{"doi-asserted-by":"publisher","key":"27","DOI":"10.1371\/journal.pone.0104057"},{"doi-asserted-by":"publisher","key":"28","DOI":"10.1111\/biom.12243"},{"volume-title":"Uncertainty in biology","year":"2016","first-page":"243","key":"29"},{"year":"2012","key":"30"},{"doi-asserted-by":"publisher","key":"31","DOI":"10.1080\/01621459.1995.10476572"},{"doi-asserted-by":"publisher","key":"32","DOI":"10.1080\/01621459.1995.10476635"},{"issue":"3","key":"33","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1111\/j.2517-6161.1994.tb01996.x","volume":"56","year":"1994","journal-title":"Journal of the Royal Statistical Society. Series B. Methodological"},{"year":"2014","key":"34"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2017\/9654506.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2017\/9654506.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2017\/9654506.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,22]],"date-time":"2024-06-22T00:43:42Z","timestamp":1719017022000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/jam\/2017\/9654506\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"references-count":29,"alternative-id":["9654506","9654506"],"URL":"https:\/\/doi.org\/10.1155\/2017\/9654506","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2017]]}}}