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The OIPPMM offers a way to address two important features of some capture\u2013recapture data: one\u2010inflation and unobserved heterogeneity. The OIPPMM provides markedly different results than some other popular estimators, and these other estimators can appear to be quite biased, or utterly fail due to the boundary problem, when the OIPPMM is the true data\u2010generating process. In addition, the OIPPMM provides a solution to the boundary problem, by labelling any mixture components on the boundary instead as\u00a0one\u2010inflation.<\/jats:p>","DOI":"10.1002\/bimj.201800095","type":"journal-article","created":{"date-parts":[[2019,6,7]],"date-time":"2019-06-07T07:00:41Z","timestamp":1559890841000},"page":"1541-1556","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["The one\u2010inflated positive Poisson mixture model for use in population size estimation"],"prefix":"10.1002","volume":"61","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5386-9525","authenticated-orcid":false,"given":"Ryan T.","family":"Godwin","sequence":"first","affiliation":[{"name":"Department of Economics University of Manitoba Winnipeg Manitoba Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2019,6,7]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.0006-341X.1999.00117.x"},{"key":"e_1_2_7_3_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345890"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s40300-015-0071-6"},{"key":"e_1_2_7_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02511573"},{"key":"e_1_2_7_6_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1541-0420.2006.00565.x"},{"key":"e_1_2_7_7_1","doi-asserted-by":"publisher","DOI":"10.2307\/2531532"},{"key":"e_1_2_7_8_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.0006-341X.2002.00531.x"},{"key":"e_1_2_7_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1972.10481254"},{"key":"e_1_2_7_10_1","doi-asserted-by":"publisher","DOI":"10.1002\/bimj.200810455"},{"key":"e_1_2_7_11_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1985.10478210"},{"key":"e_1_2_7_12_1","doi-asserted-by":"publisher","DOI":"10.1002\/bimj.201600063"},{"key":"e_1_2_7_13_1","doi-asserted-by":"publisher","DOI":"10.1111\/rssc.12192"},{"key":"e_1_2_7_14_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1541-0420.2006.00637_1.x"},{"key":"e_1_2_7_15_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1952.10483446"},{"key":"e_1_2_7_16_1","volume-title":"Univariate discrete distributions","author":"Johnson N. 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