Nimble randomization device for estimating a rare sensitive attribute using Poisson distribution

This paper addresses the problem of estimating the mean of the number of persons possessing a rare sensitive attribute utilizing the Poisson distribution in survey sampling. Properties of the proposed randomized response model have been studied along with recommendations. It is also shown that the proposed model is more efficient than Land et al. (2011) when the proportion of persons possessing a rare unrelated attribute is known. Numerical illustration is also given in support of the present study.