PREDICTIVE ESTIMATION OF FINITE POPULATION MEAN USING GENERALISED FAMILY OF ESTIMATORS

Year 2014, Volume: 7 Issue: 2, 43 - 54, 01.06.2014

Viplav Kumar Singh Rajesh Singh.

Abstract

Using predictive estimation procedure, an attempt has been made to develop some generalisedfamily of estimators for the finite population mean ¯J of survey variable J in the presence of known auxiliaryvariable K. The proposed class consists of mainly two different types of estimators namely, Ratio andExponential ratio-product type estimator. Theoretical conditions under which the proposed classes areless biased and more efficient then usual unbiased, ratio estimator and estimator due to [2], [12] and [13]have been obtained . It is also evaluated that at optimum values of unknown scalars the mean square error(MSE) of suggested classes tends to the MSE of regression estimator. Finally, these theoretical findings areillustrated by a numerical example

Keywords

Auxiliary variable asymptotic bias, asymptotic variance, prediction approach

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