AN EFFICIENT FAMILY OF RATIO-CUM-PRODUCT ESTIMATORS FOR FINITE POPULATION MEAN IN SAMPLE SURVEYS

Abstract

This paper considers the problem of estimating the finite population mean Ў of the studyvariable using information on two auxiliary variables (x; z) . A family of ratio-cum-product estimators forpopulation mean Ў has been suggested. It has been shown that the usual unbiased estimator Ў , ratioestimator, product estimator, dual to ratio estimator and dual to product estimator due to Srivenkatramana(1980) and Bandyopadhyaya (1980), Singh et al's (2005, 2011) estimator, Tailor et al's (2012) estimator,Vishwakarma et al's (2014) estimator and Vishwakarma and Kumar (2015) estimator are members of thesuggested family of estimators. In addition to these estimators, various unknown estimators are shown tobe the member of the suggested family of estimators. The bias and mean squared error of the proposedfamily are obtained under large sample approximation. Efficiency comparisons are made to demonstrate theperformance of the suggested family over other existing estimators. An empirical study is carried out insupport of the present study.