Bayesian estimation of Warner’s randomized response technique with transmuted Kumaraswamy prior

Abstract EN

In recent times, the Bayesian approach to randomized response technique has been used for estimating the population proportion, especially of respondents possessing sensitive attributes such as induced abortion, tax evasion, and shoplifting.

This is done by combining suitable prior information about an unknown parameter of the population with the sample information for the estimation of the unknown parameter.

In this study, the possibility of using a transmuted Kumaraswamy prior is raised, yielding a new Bayes estimator for estimating the population proportion of sensitive attributes for Warner’s randomized response technique.

Consequently, the proposed Bayes estimator with transmuted Kumaraswamy prior is compared with existing Bayes estimators developed with a simple beta and Kumaraswamy priors in terms of their mean square error.

The proposed estimator competes well with the existing estimators for some values of population proportion π.

The performances of Bayes estimators were also compared using some benchmark data.