An efficient generalized randomized response model

In this paper, we have proposed a generalized randomized response model to find an unbiased estimator of sensitive population proportion. Further we obtain the variance of this proposed estimator. The pioneer randomized response model of Warner (1965) and the well known Mangat and Singh (1990)'s randomized response model are the special cases of our proposed generalized randomized response model. We have shown that the proposed model is more efficient than the various existing randomized response models under very easy attainable conditions. The numerical illustrations and the graphs are given in support of theoretical results obtained.

Automated summary

This paper proposes a generalized randomized response model for obtaining an unbiased estimator of sensitive population proportion, and calculates the variance of this estimator. The study shows that the proposed model is more efficient than various existing randomized response models under very easy attainable conditions.