An Improved Two-Stage Randomized Response Model for Estimating the Mean of a Quantitative Sensitive Random Variable

Document Type : Original Article


Statistics Department, Faculty of Economics and Political Science, Cairo University, Egypt.


This paper introduces a new two-stage randomized response model for estimating the mean of a sensitive quantitative random variable. The proposed model is obtained for both simple and stratified random sampling. The efficiency of the proposed estimator, under both sampling schemes, is investigated with respect to various estimators and it is found to be more efficient. Moreover, a new measure for evaluating the performance of any randomized response estimator is introduced. The measure considers the relative efficiency of the randomized response estimator, and the privacy protection it offers. The performance of the proposed estimator is examined using the new measure and it is found to have an overall better performance than its rival estimators. A real data example is also examined using the proposed model and various models from literature.


Main Subjects

Volume 21, Issue 2
December 2022
Pages 89-110
  • Receive Date: 09 April 2022
  • Revise Date: 28 June 2023
  • Accept Date: 15 September 2023