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A new quasi empirical bayes estimate in randomized response sampling
Authors:Augustus Jayaraj  Oluseun Odumade
Affiliation:1. Cornell University, Ithaca, NY;2. Enterprise Risk Services, Deloitte &3. Touche LLP, Minneapolis, MN, USA
Abstract:In this article, a new notion of “quasi-empirical” Bayes estimation is developed for estimating the proportion of a sensitive attribute in a population by making use of both a prior distribution of prevalence of the sensitive attribute in addition to the known prior distribution of an unrelated characteristic. The proposed quasi-empirical Bayes estimate is compared with those of the unrelated question model due to Greenberg et al. by means of a simulation study.
Keywords:Bayes estimation  Estimation of sensitive characteristics  Randomized response sampling  Simulation study
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