An efficient partial randomized response model for estimating a rare sensitive attribute using Poisson distribution

Abstract

Abstract In this article, we propose a new partial randomized response technique (RRT) model to estimate the mean of the number of persons possessing a rare sensitive attribute using the Poisson distribution. Properties of the proposed partial RRT model have been studied. The utility of proposed partial RRT model under stratification is also explored. Efficiency comparison between proposed partial RRT model is carried out numerically under simple and stratified random sampling.