Mean estimation with generalized scrambling using two-phase sampling

Abstract

Sousa et al. and Gupta et al. presented ratio and regression estimators of population mean of a sensitive variable using auxiliary information in simple random sampling without replacement. In this article, we propose a generalized randomized response technique (RRT) model and use it to develop some exponential estimators in two-phase sampling. We also discuss the privacy protection level of the proposed RRT model. Theoretical and empirical results are presented to examine the performance of the proposed mean estimators in relation to other mean estimators.

Keywords:

• Auxiliary variable
• Bias
• Mean square error
• Randomized response models
• Ratio-cum-exponential estimator

Acknowledgment

The authors would like to thank the reviewers for their suggestions that helped to improve the presentation of this paper.