On some efficient classes of estimators using auxiliary attribute

Shashi Bhushan; Anoop Kumar

doi:10.59170/stattrans-2023-025

On some efficient classes of estimators using auxiliary attribute

Shashi Bhushan Department of Statistics, University of Lucknow, Lucknow, India, 226007 ORCID:https://orcid.org/0000-0002-3931-888X , Anoop Kumar Department of Statistics, Amity University, Lucknow, India ORCID:https://orcid.org/0000-0003-2775-6548 Statistics in Transition new series, vol. 24, 2023, 2, pages: 141-157 Published online: 15 March 2023 DOI 10.59170/stattrans-2023-025

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ABSTRACT

This paper considers some efficient classes of estimators for the estimation of population mean using known population proportion. The usual mean estimator, classical ratio, and regression estimators suggested by Naik and Gupta (1996) and Abd-Elfattah et al. (2010) estimators are identified as the members of the suggested class of estimators. The expressions of bias and mean square errors are derived up to first-order approximation. The proposed estimators were put to test against various other competing estimators till date. It has been found both theoretically and empirically that the suggested classes of estimators dominate the existing estimators.

KEYWORDS

Bias, Mean square error, Efficiency, Auxiliary attribute.

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