A generalized class of exponential type estimators for estimating the mean of the sensitive variable when using optional randomized response model

Abstract

In this article, we propose a generalized class of exponential type estimators for estimating the mean of delicate variable in the existence of non-sensitive two auxiliary variables. The performance of mean estimator is obtained by using generalized two stage optional randomized response model. The expression for the bias and the mean square error are obtained up to first degree of approximation. Certain special cases for the generalized class are discussed. An extensive simulation study is performed to determine the performance of the estimators. It is observed that the suggested class of estimators performs more efficiently than some existing estimators.

Keywords:

• Bias
• Mean square error
• Optional randomized response technique
• Percentage relative efficiency
• Sensitive variable

MATHEMATICAL SUBJECT CLASSIFICATION:

• 62D05
• 62P25
• 62-04

Acknowledgments

Authors are thankful to the referees for their valuable suggestions which helped to improve the manuscript.