Title: New efficient class of estimators of population mean using two-phase sampling

Authors: Shashi Bhushan; Anoop Kumar

Addresses: Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, UP, 226017, India ' Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, UP, 226017, India

Abstract: This manuscript proffers a new efficient class of estimators for population mean in two-phase sampling using the known population proportion. The usual mean estimator, classical ratio estimator, Singh (2011) estimator and log type estimator are identified as the members of the proposed class of estimators for suitably chosen values of characterising scalars. The expression of mean square error of the proffered estimators is obtained to the first order of approximation. A comparative study is accomplished concerning the relevant contemporary estimators existing till date. Further, an empirical study is carried out using different real datasets. The empirical results turned out to be rewarding as it shows better amelioration over all the existing prominent estimators.

Keywords: bias; efficiency; mean square error; two-phase sampling.

DOI: 10.1504/IJMOR.2023.129427

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.2, pp.155 - 172

Received: 11 Sep 2021
Accepted: 24 Dec 2021
Published online: 09 Mar 2023 *

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