Improved Class of Ratio Estimators for Finite Population Variance

Abstract

In this paper, we have suggested a class of improved ratio estimators for finite population variance. The proposed class of estimators is obtained by transforming both the sample variances of study and auxiliary variables. The MSE of the proposed estimators have been obtained and the conditions for their efficiency over some existing variance estimators have been established. The present family of finite variance estimator, having obtaining the optimal values of the constants, exhibit significant improvement over the estimators considered in the study. The empirical study is also conducted to corroborate the theoretical results and the results show that the proposed class of estimators is more efficient.