On The Comparative Analysis Of Beta And Kumaraswamy Priors Using Stigmatized Attributes

Abstract

Hussain et al 2011 compared bayes estimator of population proportion of a stigmatized attribute with the Maximum Likelihood Estimator (MLE) but this paper compares two priors: beta and kumaraswamy in the Bayesian analysis using various values of n, x, p1 and p2 and it was observed that across the sample sizes considered over different values of  x’s, p1 and p2 using R package software for simulation, the mean square error and bias of the Kumaraswamy prior are smaller than that of Beta prior when the proportion of stigmatized attribute increases from 0.1 to 0.4

Keyword: Prior, Beta, kumaraswamy, Stigmatized, Attribute