A Generalized Family of Transformed Ratio-Product Estimators for Variance in Sample Surveys

Abstract

This article advocates the problem of estimating the population variance of the study variable y using information on certain known parameters of the auxiliary variable x. A family of ratio-product-type estimators for population variance of the study variable y is defined. In addition to many estimators, usual unbiased estimator , Isaki (1983), Upadhyaya and Singh (1999) estimators, and Kadilar and Cingi (2006) estimators are shown as members of the proposed class of estimators. Asymptotic expressions for bias and mean squared error of the proposed class of estimators have been obtained. An empirical study is carried out to show the performance of the various estimators of generated from the proposed class of estimators over usual unbiased estimator .