Modified estimators of population variance in presence of  auxiliary information

Rajesh Tailor; Balkishan  Sharma

doi:https://doi.org/10.59170/stattrans-2012-003

Modified estimators of population variance in presence of auxiliary information

Rajesh Tailor School of Studies in Statistics. Vikram University, Ujjain-456010, M.P., India , Balkishan Sharma Assistant Professor in Statistics. Department of Community Medicine. Sri Aurobindo Institute of Medical Sciences, INDORE, (M. P.), India Statistics in Transition new series, vol. 13, 2012, 1, pages: 37-46 Published online: 1 March 2012 https://doi.org/10.59170/stattrans-2012-003

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ABSTRACT

This paper proposes estimator of population variance using information on known parameters of auxiliary variable. The variances of the proposed estimators are obtained. It has been shown that using modified sampling fraction the proposed estimators are more efficient than the usual unbiased estimator of population variance and usual ratio estimator for population variance under certain given conditions. Empirical study is also carried out to demonstrate the merits of the proposed estimators of population variance over other estimators considered in this paper

KEYWORDS

Finite population variance, Bias, Mean squared error Auxiliary information and Efficiency

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