Improved estimator for the estimation of sensitive variable using ORRT models

Abstract

In this study, we concern with the improved estimation of sensitive variable when there is non-response and measurement error on sensitive variable but the auxiliary variable is non sensitive in nature. For the purpose, we propose an improved estimator in the presence of non-response and measurement error using Optional randomized response technique (ORRT) under simple random sampling without replacement (SRSWOR). The properties of the estimator have been studied and the efficiency conditions are obtained in comparison to the mean estimator, ratio estimator and Zhang’s estimator. Simulation study based on hypothetical populations has been carried out to demonstrate the performance of the proposed estimator at its optimum among others. It has been observed that the proposed estimator is more efficient than other considered estimators in term of having higher Percent Relative Efficiency (PRE).

KEYWORDS:

• Sensitive variable
• auxiliary variable
• non-response
• measurement error
• ORRT

Acknowledgments

The authors express very sincere gratitude to the reviewers for their constructive suggestions which helped improve the presentation of the paper.

Data availability statement

No real data is used in the paper.

Disclosure statement

The authors declares that they have no conflicts of interest.