Corrected estimator of sensitive population proportion using unknown repeated trials in the unrelated question randomized response model

Summary: A new partial randomized response technique model using the Poisson distribution to estimate the mean of the number of persons possessing a rare sensitive attribute is proposed in this article. The properties of the proposed partial RRT model are studied, and its utility under stratification is explored. Efficiency comparison between the proposed partial RRT model is conducted numerically under simple and stratified random sampling.