Mean estimation with generalized scrambling using two-phase sampling

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.

Automated summary

This article proposes a generalized randomized response technique (RRT) model and develops exponential estimators in two-phase sampling using this model. The privacy protection level of the proposed RRT model is also discussed. Theoretical and empirical results are presented to examine the performance of the proposed mean estimators in comparison to other mean estimators.