Hierarchical Bayesian modeling and randomized response method for inferring the sensitive-nature proportion
學年 110
學期 1
出版（發表）日期 2021-10-07
作品名稱 Hierarchical Bayesian modeling and randomized response method for inferring the sensitive-nature proportion
作品名稱（其他語言）
著者 H Xin; J Zhu; Tzong-Ru Tsai
單位
出版者
著錄名稱、卷期、頁數 Mathematics 9(19), 2518
摘要 In this study, a new three-statement randomized response estimation method is proposed to improve the drawback that the maximum likelihood estimation method could generate a negative value to estimate the sensitive-nature proportion (SNP) when its true value is small. The Bayes estimator of the SNP is obtained via using a hierarchical Bayesian modeling procedure. Moreover, a hybrid algorithm using Gibbs sampling in Metropolis–Hastings algorithms is used to obtain the Bayes estimator of the SNP. The highest posterior density interval of the SNP is obtained based on the empirical distribution of Markov chains. We use the term 3RR-HB to denote the proposed method here. Monte Carlo simulations show that the quality of 3RR-HB procedure is good and that it can improve the drawback of the maximum likelihood estimation method. The proposed 3RR-HB procedure is simple for use. An example regarding the homosexual proportion of college freshmen is used for illustration.
關鍵字 Bayesian estimation;Beta-Binominal model;maximum likelihood estimation;respondent protection;randomized response
語言 en
ISSN 2227-7390
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 是
國別 CHE
公開徵稿
出版型式 ,電子版
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