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In this article, a combined general family of estimators is proposed for estimating finite population mean of a sensitive variable in stratified random sampling with non-sensitive auxiliary variable based on randomized response technique. Under stratified random sampling without replacement scheme, the expression of bias and mean square error (MSE) up to the first-order approximations are derived. Theoretical and empirical results through a simulation study show that the proposed class of estimators is more efficient than the existing estimators, i.e., usual stratified random sample mean estimator, Sousa et al (2014) ratio and regression estimator of the sensitive variable in stratified sampling.


Stratified Random Sampling Sensitive Variable Randomized Response Technique.

Article Details

Author Biography

Noor Ul Amin, Department of Statistics, COMSATS Institute of Information Technology, Lahore

How to Cite
Mushtaq, N., Amin, N. U., & Hanif, M. (2017). A Family of Estimators of a Sensitive Variable Using Auxiliary Information in Stratified Random Sampling. Pakistan Journal of Statistics and Operation Research, 13(1), 141-155.