EFFICIENT FAMILY OF EXPONENTIAL ESTIMATORS FOR THE POPULATION MEAN

Abstract

This paper deals with the estimation of the population mean with im—proved family of exponential estimators for the variable under studyusing some known population parameters of the auxiliary variable. Theexpressions for the bias and mean square error (MSE) of the estimatorsof the proposed family have been derived to the first degree of approx—imation. comparison has been made with the exponential family ofestimators of Singh et al. [10]. An improvement has been shown overthe family of estimators of Singh et al. [10] through an empirical study.