An Efficient Scrambled Estimator of Population Mean of Quantitative Sensitive Variable Using General Linear Transformation of Non-sensitive Auxiliary Variable

Abstract

In the present paper, we propose an efficient scrambled estimator of population mean of quantitative sensitive study variable, using general linear transformation of non-sensitive auxiliary variable. Efficiency comparisons with the existing estimators have been carried out both theoretically and numerically. It has been found that our optimal scrambled estimator is always more efficient than most of the existing scrambled estimators and also it is more efficient than few other scrambled estimators under some conditions.

Keywords

Bias / Efficiency / Non-sensitive auxiliary variable / Randomized response technique / Scrambled estimator / Sensitive study variable / Simple random sampling without replacement / Percent relative efficiency