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We compare several nonparametric estimators, including the Chao estimator, the Zelterman estimator, two jackknife estimators and the bootstrap estimator. The target parameter of the Chao estimator is a lower bound of the population size. Those of the other four estimators are not lower bounds, and they may produce lower confidence limits for the population size with poor coverage probabilities. A simulation study is reported and two examples are investigated.<\/jats:p><\/jats:sec>","DOI":"10.1111\/biom.12044","type":"journal-article","created":{"date-parts":[[2013,7,19]],"date-time":"2013-07-19T09:09:59Z","timestamp":1374224999000},"page":"758-765","source":"Crossref","is-referenced-by-count":4,"title":["On Population Size Estimators in the Poisson Mixture Model"],"prefix":"10.1093","volume":"69","author":[{"given":"Chang Xuan","family":"Mao","sequence":"first","affiliation":[{"name":"School of Statistics and Management, and Center for Social Security Studies Shanghai University of Finance and Economics Shanghai 200433 China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nan","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Statistics and Management Shanghai University of Finance and Economics Shanghai 200433 China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinhua","family":"Zhong","sequence":"additional","affiliation":[{"name":"School of Statistics and Management Shanghai University of Finance and Economics Shanghai 200433 China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2013,7,19]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.2307\/2533391"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610910008813661"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.stamet.2007.10.001"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9469.2009.00676.x"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10940-007-9027-1"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.2307\/2290733"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.1080\/757584397"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/bts075"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/65.3.625"},{"key":"e_1_2_8_11_1","first-page":"265","article-title":"Nonparametric estimation of the number of classes in a population","volume":"11","author":"Chao A.","year":"1984","journal-title":"Scandinavian Journal of Statistics"},{"key":"e_1_2_8_12_1","doi-asserted-by":"publisher","DOI":"10.2307\/2531487"},{"key":"e_1_2_8_13_1","doi-asserted-by":"publisher","DOI":"10.1198\/108571101750524670"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.0006-341X.2002.00531.x"},{"key":"e_1_2_8_15_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.996"},{"key":"e_1_2_8_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0955-3959(03)00080-X"},{"key":"e_1_2_8_17_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.0006-341X.1999.00294.x"},{"key":"e_1_2_8_18_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1973.10481415"},{"key":"e_1_2_8_19_1","doi-asserted-by":"publisher","DOI":"10.1080\/1606635031000135622"},{"key":"e_1_2_8_20_1","doi-asserted-by":"publisher","DOI":"10.1198\/016214506000000528"},{"key":"e_1_2_8_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2006.09.025"},{"key":"e_1_2_8_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.stamet.2007.01.002"},{"key":"e_1_2_8_23_1","doi-asserted-by":"publisher","DOI":"10.1214\/009053606000001280"},{"key":"e_1_2_8_24_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0013091500034428"},{"key":"e_1_2_8_25_1","doi-asserted-by":"publisher","DOI":"10.2307\/2532902"},{"key":"e_1_2_8_26_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1009659922745"},{"key":"e_1_2_8_27_1","unstructured":"Overton W.andDavis D.Estimating the numbers of animals in wildlife populations. 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