A new quasi empirical bayes estimate in randomized response sampling

ABSTRACT

In this article, a new notion of “quasi-empirical” Bayes estimation is developed for estimating the proportion of a sensitive attribute in a population by making use of both a prior distribution of prevalence of the sensitive attribute in addition to the known prior distribution of an unrelated characteristic. The proposed quasi-empirical Bayes estimate is compared with those of the unrelated question model due to Greenberg et al. by means of a simulation study.

KEYWORDS:

• Bayes estimation
• Estimation of sensitive characteristics
• Randomized response sampling
• Simulation study

MATHEMATICAL SUBJECT CLASSIFICATION:

• 62DO5

Acknowledgments

The authors are thankful to the Editor-in-Chief Prof. N. Balakrishnan, ADM: Mrs. Debbie Iscoe and a learned referee for very interesting questions on the original version of this article.