PREDICTIVE ESTIMATION OF FINITE POPULATION MEAN USING GENERALISED FAMILY OF ESTIMATORS

Authors : Viplav Kumar SİNGH, Rajesh SİNGH

Pages : 43-54

View : 16 | Download : 4

Publication Date : 2014-06-01

Article Type : Research Paper

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 errorinsert ignore into journalissuearticles values(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