Revisit of a randomized response model for estimating a rare sensitive attribute under probability proportional to size sampling using Poisson probability distribution

Abstract

The present article deals with the estimation of mean number of individuals possess a rare sensitive attribute using Poisson probability distribution, when the population consists of clusters. Unbiased estimation procedures for the mean number of individuals have been suggested and their properties are discussed when the parameter of a rare non-sensitive unrelated attribute is assumed to be known as well as unknown. The suggested estimation procedure is further discussed for situation of stratified cluster population. Empirical studies are carried out to show the dominance of proposed method and resultant estimators over a well-known contemporary estimator.

Keywords:

• Randomized response method
• rare sensitive attribute
• rare non-sensitive unrelated attribute
• probability proportional to size (pps) sampling
• Poisson probability distribution

AMS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgments

Authors are thankful to the Indian Institute of Technology (Indian School Mines), Dhanbad, for providing the financial assistance and necessary infrastructure to carry out the present research work.