- Türkiye İstatistik Derneği Dergisi
- Vol: 7 Issue: 2
- PREDICTIVE ESTIMATION OF FINITE POPULATION MEAN USING GENERALISED FAMILY OF ESTIMATORS
PREDICTIVE ESTIMATION OF FINITE POPULATION MEAN USING GENERALISED FAMILY OF ESTIMATORS
Authors : Viplav Kumar Singh, Rajesh Singh.
Pages : 43-54
View : 10 | Download : 4
Publication Date : 2014-06-01
Article Type : Research
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 exampleKeywords : Auxiliary variable asymptotic bias, asymptotic variance, prediction approach