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Abstract

In this paper we have suggested a class of estimators of population mean of sensitive variable under optional randomized response technique as reported in Gupta et al  (2014). We have obtained the mean squared error  (MSE) of the suggested class of estimators up to the  first order of approximation. The optimum conditions are obtained at which the (MSE) of the  proposed class of estimators is minimum. An  empirical study is carried out to show the performance of the suggested class of estimators over existing estimators .It is found that the performance of proposed class of estimators is better than the existing estimators including Grover and Kaur (2019).

Keywords

Auxiliary variable bias efficiency mean square error randomized response technique simple random sampling without replacement sensitive study variable percent relative efficiency.

Article Details

Author Biographies

Preeti Patidar, Vikram university ,ujjain, M.P., INDIA

School of Studies in Statistics , Vikram university ,ujjain, M.P.

Housila Prasad Singh, Vikram university ,ujjain, M.P., INDIA

School of Studies in Statistics , Vikram university ,ujjain, M.P.

How to Cite
Patidar, P., & Singh, H. P. (2023). An Improved Class of Estimators Of Population Mean of Sensitive Variable Using Optional Randomized Response Technique. Pakistan Journal of Statistics and Operation Research, 19(3), 537-550. https://doi.org/10.18187/pjsor.v19i3.2877