Title: Searls estimation strategy for population mean of a sensitive study variable harnessing non-sensitive auxiliary information

Authors: S.K. Yadav; Amit Kumar Misra; Tarushree Bari

Addresses: Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, U.P., India ' Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, U.P., India ' Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, U.P., India

Abstract: In this study, we present a Searls type regression estimator for elevated estimation of the population mean of a sensitive study variable in the presence of a known non-sensitive supplementary variable under the simple random sampling scheme. The first order of approximation is used to obtain the bias and mean square error expressions. The suggested family of estimators is compared to competing estimators both theoretically and numerically. The findings verified through the real and simulated data show that the suggested estimator is preferably chosen over many of the existing competing estimators.

Keywords: sensitive variable; scrambled variable; Searls type estimator; response bias; mean square error; MSE; simulation study.

DOI: 10.1504/IJMOR.2022.127384

International Journal of Mathematics in Operational Research, 2022 Vol.23 No.3, pp.344 - 358

Received: 25 Feb 2021
Accepted: 01 Aug 2021
Published online: 01 Dec 2022 *

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