Randomized response trial using negative binomial distribution

Abstract

Randomized response (RR) technique using the Negative Binomial distribution was proposed by Hussain et al. It showed numerically that the method performs better than some of the existing methods including Kuk. However, the method of comparison of the efficiencies used by them was not fair. A more appropriate method of comparison is, therefore, proposed in this article and it is found that Kuk’s RR is better than the Hussain et al.’s in terms of execution and efficiency.

Keywords:

• Estimation of proportion
• Negative binomial distribution
• Randomized response
• Relative efficiency

MATHEMATICAL SUBJECT CLASSIFICATION:

• 62D05

Acknowledgements

The author thanks Prof. N. Balakrishnan, the Editor-in-Chief, and an Associate Editor for their valuable comments and suggestions.