{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T04:54:52Z","timestamp":1648616092575},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,2,8]],"date-time":"2012-02-08T00:00:00Z","timestamp":1328659200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Stat Methods Appl"],"published-print":{"date-parts":[[2012,6]]},"DOI":"10.1007\/s10260-012-0186-3","type":"journal-article","created":{"date-parts":[[2012,2,7]],"date-time":"2012-02-07T09:50:42Z","timestamp":1328608242000},"page":"169-191","source":"Crossref","is-referenced-by-count":0,"title":["Asymptotic distribution of martingale estimators for a class of epidemic models"],"prefix":"10.1007","volume":"21","author":[{"given":"Ra\u00fal","family":"Fierro","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,2,8]]},"reference":[{"key":"186_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1158-7","volume-title":"Stochastic epidemic models and their statistical analysis. Lecture notes in statistics, vol 151","author":"H Andersson","year":"2000","unstructured":"Andersson H, Britton T (2000) Stochastic epidemic models and their statistical analysis. Lecture notes in statistics, vol 151. Springer, New York"},{"key":"186_CR2","doi-asserted-by":"crossref","first-page":"698","DOI":"10.2307\/3215095","volume":"34","author":"H Andersson","year":"1997","unstructured":"Andersson H, Djehiche B (1997) Limit theorems for the total size of a spatial epidemic. J Appl Probab 34: 698\u2013710","journal-title":"J Appl Probab"},{"key":"186_CR3","volume-title":"The mathematical theory of infectious diseases","author":"NTJ Bailey","year":"1975","unstructured":"Bailey NTJ (1975) The mathematical theory of infectious diseases. Griffin & Co., New York"},{"key":"186_CR4","doi-asserted-by":"crossref","first-page":"227","DOI":"10.2307\/3213797","volume":"20","author":"F Ball","year":"1983","unstructured":"Ball F (1983) The threshold behavior of epidemic models. J Appl Probab 20: 227\u2013241","journal-title":"J Appl Probab"},{"key":"186_CR5","doi-asserted-by":"crossref","first-page":"39","DOI":"10.2307\/1427495","volume":"25","author":"F Ball","year":"1993","unstructured":"Ball F, O\u2019Neill P (1993) A modification of the general stochastic epidemic motivated by AIDS modelling. Adv Appl Probab 25: 39\u201362","journal-title":"Adv Appl Probab"},{"key":"186_CR6","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/0025-5564(93)90026-7","volume":"117","author":"NG Becker","year":"1993","unstructured":"Becker NG (1993) Parametric inference for epidemic models. Math Biosci 117: 239\u2013251","journal-title":"Math Biosci"},{"key":"186_CR7","unstructured":"Buckley FM, Pollet PK (2009) Analytical methods for a stochastic mainland-island metapopulation model. In: Anderssen R, Braddock R, Newham L (eds) Proceedings of the 18th World IMACS Congress and MODSIM09 International congress on modelling and simulation. Modelling and Simulation Society of Australia and New Zealand and International Association for Mathematics and Computers in Simulation, Camberra, Australia, pp 1767\u20131773"},{"key":"186_CR8","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1214\/10-PS158","volume":"7","author":"FM Buckley","year":"2010","unstructured":"Buckley FM, Pollet PK (2010) Limit theorems for discrete-time metapopulation models. Probab Surv 7: 53\u201383","journal-title":"Probab Surv"},{"key":"186_CR9","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316658","volume-title":"Markov processes: characterization and convergence","author":"SN Ethier","year":"1986","unstructured":"Ethier SN, Kurtz TG (1986) Markov processes: characterization and convergence. Wiley, New York"},{"key":"186_CR10","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/j.jkss.2009.08.005","volume":"39","author":"R Fierro","year":"2010","unstructured":"Fierro R (2010) A class of stochastic epidemic models and its deterministic counterpart. J Korean Stat Soc 39: 397\u2013407","journal-title":"J Korean Stat Soc"},{"key":"186_CR11","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1016\/0025-5564(88)90078-8","volume":"90","author":"H Hetcote","year":"1988","unstructured":"Hetcote H, Van Ark J (1988) Epidemiological models for heterogeneous populations: proportionate mixing, parameter estimation and immunization programs. Math Biosci 90: 415\u2013473","journal-title":"Math Biosci"},{"key":"186_CR12","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1111\/j.1467-9574.1996.tb01482.x","volume":"50","author":"JAP Heesterbeek","year":"1996","unstructured":"Heesterbeek JAP, Dietz K (1996) The concept of R 0 in epidemic theory. Stat Neerlandica 50: 89\u2013110","journal-title":"Stat Neerlandica"},{"key":"186_CR13","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/0025-5564(88)90031-4","volume":"92","author":"JA Jacquez","year":"1988","unstructured":"Jacquez JA, Simon CP, Koopman J, Sattenspiel L, Perry T (1988) Modelling and analysing HIV transmission: the effect of contact patterns. Math Biosci 92: 119\u2013199","journal-title":"Math Biosci"},{"key":"186_CR14","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0025-5564(91)90003-2","volume":"107","author":"JA Jacquez","year":"1991","unstructured":"Jacquez JA, O\u2019Neill P (1991) Reproduction numbers and thresholds in stochastic epidemic models I. Homogeneous populations. Math Biosci 107: 161\u2013186","journal-title":"Math Biosci"},{"key":"186_CR15","doi-asserted-by":"crossref","unstructured":"Kendall DG (1956) Deterministic and stochastic epidemic in closed populations. In: Proceedings of third berkeley symposium in mathematical statistics and probability, vol 4, pp 149\u2013165","DOI":"10.1525\/9780520350717-011"},{"key":"186_CR16","doi-asserted-by":"crossref","first-page":"700","DOI":"10.1098\/rspa.1927.0118","volume":"115","author":"WO Kermack","year":"1927","unstructured":"Kermack WO, McKendrick AG (1927) Contribution to the mathematical theory of epidemics. Proc R Soc Lond A 115: 700\u2013721","journal-title":"Proc R Soc Lond A"},{"key":"186_CR17","doi-asserted-by":"crossref","unstructured":"Kurtz TG (1981) Approximation of population processes. SIAM Applied Mathematical Series, 36","DOI":"10.1137\/1.9781611970333"},{"key":"186_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-3-662-10067-7_1","volume-title":"Stochastic processes in epidemic theory. Lecture notes in biomathematics, vol 86","author":"C Lef\u00e8vre","year":"1990","unstructured":"Lef\u00e8vre C (1990) Stochastic epidemic models for S-I-R infectious diseases: a brief survey of the recent general theory. In: Gabriel JP, Lef\u00e8vre C, Picard P (eds) Stochastic processes in epidemic theory. Lecture notes in biomathematics, vol 86. Springer, New York, pp 1\u201312"},{"key":"186_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/b98855","volume-title":"Elements of large-sample theory","author":"EL Lehmann","year":"1999","unstructured":"Lehmann EL (1999) Elements of large-sample theory. Springer, New York"},{"key":"186_CR20","first-page":"171","volume":"13","author":"E Lenglart","year":"1977","unstructured":"Lenglart E (1977) Relation de domination entre deux processus. Annales de l\u2019Institut Henri Poincar\u00e9 (B) Probabilit\u00e9s et Statistiques 13: 171\u2013179","journal-title":"Annales de l\u2019Institut Henri Poincar\u00e9 (B) Probabilit\u00e9s et Statistiques"},{"key":"186_CR21","unstructured":"Mcvinish R, Pollett PK (2009) Limits of large metapopulations with patch dependent extintion probabilities. Appl Probab Trust:1\u201315"},{"key":"186_CR22","doi-asserted-by":"crossref","unstructured":"Rebolledo R La m\u00e9thode des martingales appliqu\u00e9e \u00e1 l\u2019etude de la convergence en loi de processus. M\u00e9moires de la Soci\u00e9t\u00e9 Math\u00e9matique de France 62:1\u2013125","DOI":"10.24033\/msmf.271"}],"container-title":["Statistical Methods & Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-012-0186-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10260-012-0186-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-012-0186-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,28]],"date-time":"2021-12-28T02:09:23Z","timestamp":1640657363000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10260-012-0186-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2,8]]},"references-count":22,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,6]]}},"alternative-id":["186"],"URL":"https:\/\/doi.org\/10.1007\/s10260-012-0186-3","relation":{},"ISSN":["1618-2510","1613-981X"],"issn-type":[{"value":"1618-2510","type":"print"},{"value":"1613-981X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,2,8]]}}}