ESTIMATION OF POPULATION PROPORTION OF STIGMATIZED ATTRIBUTE USING BAYESIAN APPROACH
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Date
2019
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Publisher
Bulgarian Journal of Science and Education Policy
Abstract
. Bayesian Approach to Randomized Response Technique has
been a technique for estimating the population proportion, especially of respondents possessing stigmatized attributes such as induced abortion, use of
drugs and tax evasion. In this paper, we propose Bayesian estimators of population proportion of a stigmatized attribute assuming Kumaraswamy and the
generalised beta prior using life data on induced abortion. The newly proposed
Bayesian estimators were validated numerically for a large interval of the designed values of the population proportion at different sample sizes. It was observed that the newly developed Bayesian estimators were more sensitive in
capturing stigmatized attribute than the Bayesian estimator developed by
Hussain & Shabbir (2012) for relatively small, moderate as well as large sample
sizes.
Description
Keywords
Bayesian estimators, alternative priors, stigmatized attribute, mean square error, absolute bias