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http://dx.doi.org/10.5351/CKSS.2007.14.1.121

A Closed-Form Bayesian Inferences for Multinomial Randomized Response Model  

Heo, Tae-Young (Electronics and Telecommunications Research Institute)
Kim, Jong-Min (Division of Science and Mathematics, University of Minnesota-Morris)
Publication Information
Communications for Statistical Applications and Methods / v.14, no.1, 2007 , pp. 121-131 More about this Journal
Abstract
In this paper, we examine the problem of estimating the sensitive characteristics and behaviors in a multinomial randomized response model using Bayesian approach. We derived a posterior distribution for parameter of interest for multinomial randomized response model. Based on the posterior distribution, we also calculated a credible intervals and mean squared error (MSE). We finally compare the maximum likelihood estimator and the Bayes estimator in terms of MSE.
Keywords
Randomized response; multinomial model; Bayesian inference; Dirichlet distribution; mean squared error;
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