Abstract

KUMAR, Sunil  and  CHOUDHARY, Monica. An Improved Estimator of Finite Population Variance Using two Auxiliary Variable SRS. Rev.Colomb.Estad. [online]. 2023, vol.46, n.1, pp.81-91.  Epub Jan 18, 2023. ISSN 0120-1751.  https://doi.org/10.15446/rce.v46n1.104427.

In the present study, we explore the problem of estimation of finite population variance in simple random sampling (without replacement) by utilizing information of two auxiliary variables. A ratio cum exponential estimator has been proposed and its properties are studied to the first degree of approximation. To demonstrate the efficiency, members of the proposed estimator as well as other existing estimators are compared to the usual unbiased estimator. To study the performance, a simulation study is undertaken for both real and artificial population using R software. The suggested estimator is found to be more efficient than other existing estimators in terms of having minimum MSE.

Keywords : Simple random sampling; Variance estimation; Study variable; Auxiliary variable; Bias; Mean square error.

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