{"title":"泊松分布下两阶段抽样中一个罕见敏感属性的随机响应模型估计","authors":"G. Singh, S. Suman, C. Singh","doi":"10.1080/08898480.2018.1553404","DOIUrl":null,"url":null,"abstract":"ABSTRACT Unbiased estimation procedures of the mean total number of persons with a rare sensitive attribute apply for a clustered population under two-stage and stratified two-stage sampling schemes. Randomized response model is used to obtain the estimators, when the parameter of an unrelated rare non-sensitive attribute is either known or unknown. The variances of the resultant estimators are derived and their unbiased estimates are expressed. Numerical comparisons show that dispersions in the estimates are lower than other contemporary estimators.","PeriodicalId":49859,"journal":{"name":"Mathematical Population Studies","volume":"27 1","pages":"81 - 114"},"PeriodicalIF":1.4000,"publicationDate":"2019-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/08898480.2018.1553404","citationCount":"2","resultStr":"{\"title\":\"Estimation of a rare sensitive attribute in two-stage sampling using a randomized response model under Poisson distribution\",\"authors\":\"G. Singh, S. Suman, C. Singh\",\"doi\":\"10.1080/08898480.2018.1553404\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT Unbiased estimation procedures of the mean total number of persons with a rare sensitive attribute apply for a clustered population under two-stage and stratified two-stage sampling schemes. Randomized response model is used to obtain the estimators, when the parameter of an unrelated rare non-sensitive attribute is either known or unknown. The variances of the resultant estimators are derived and their unbiased estimates are expressed. Numerical comparisons show that dispersions in the estimates are lower than other contemporary estimators.\",\"PeriodicalId\":49859,\"journal\":{\"name\":\"Mathematical Population Studies\",\"volume\":\"27 1\",\"pages\":\"81 - 114\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2019-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/08898480.2018.1553404\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Population Studies\",\"FirstCategoryId\":\"90\",\"ListUrlMain\":\"https://doi.org/10.1080/08898480.2018.1553404\",\"RegionNum\":3,\"RegionCategory\":\"社会学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"DEMOGRAPHY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Population Studies","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/08898480.2018.1553404","RegionNum":3,"RegionCategory":"社会学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"DEMOGRAPHY","Score":null,"Total":0}
Estimation of a rare sensitive attribute in two-stage sampling using a randomized response model under Poisson distribution
ABSTRACT Unbiased estimation procedures of the mean total number of persons with a rare sensitive attribute apply for a clustered population under two-stage and stratified two-stage sampling schemes. Randomized response model is used to obtain the estimators, when the parameter of an unrelated rare non-sensitive attribute is either known or unknown. The variances of the resultant estimators are derived and their unbiased estimates are expressed. Numerical comparisons show that dispersions in the estimates are lower than other contemporary estimators.
期刊介绍:
Mathematical Population Studies publishes carefully selected research papers in the mathematical and statistical study of populations. The journal is strongly interdisciplinary and invites contributions by mathematicians, demographers, (bio)statisticians, sociologists, economists, biologists, epidemiologists, actuaries, geographers, and others who are interested in the mathematical formulation of population-related questions.
The scope covers both theoretical and empirical work. Manuscripts should be sent to Manuscript central for review. The editor-in-chief has final say on the suitability for publication.