Abstract
In this study, a Bayesian estimation of the population mean of a rare sensitive attribute has been considered and a Bayes estimator is proposed when the information from the respondent is collected through the randomized response technique (RRT) using Greenberg et al. (1969) and Land et al. (2012) models. The Gamma distribution has been used as prior information to check the behaviour of the Bayes estimator for the different values of population mean of rare sensitive and rare unrelated attribute. It is noted that Bayes estimator is efficient as compared to the Maximum Likelihood Estimator (MLE).