A Generalised Family of Estimator for Estimating Unknown Variance Using Two Auxiliary Variables

March 30, 2015

A Generalised Family of Estimator for Estimating Unknown Variance Using Two Auxiliary Variables

Abstract:

The present study deals with the estimation of unknown variance using two auxiliary variates under simple random sampling without replacement (SRSWOR) scheme. We have also extended our work to the case of the double sampling scheme. The asymptotic expressions for the mean squared errors of the proposed estimators are derived and their optimum values have been obtained. A comparison between the existing and the proposed class of estimators of S_y² has been made empirically with the help of two population data taken from [1] and [10].

Author(s):

Viplav Kumar Singh, Department of Statistics, Banaras Hindu University, Varanasi -221005, India
Rajesh Singh, Department of Statistics, Banaras Hindu University, Varanasi -221005, India

DOI:

https://doi.org/10.15415/mjis.2015.32017

Keywords:

Proposed estimator, Double sampling technique, Bias(B), Mean Square Error (MSE), Optimum estimator

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