Using Rank of the Auxiliary Variable in Estimating Variance of the Stratified Sample Mean

Abstract

We propose a generalized class of estimators for finite population variance using the auxiliary variable as well as rank of the auxiliary variable in stratified sampling. We identify many estimators as special cases of the proposed generalized class of estimators. We discuss the properties of all considered estimators up to first order of approximation. A real data set is used to observe the performances of estimators. It is observed that the proposed generalized class of estimators is more efficient than usual sample variance estimator, traditional ratio estimator, Bahl and Tuteja (1991) exponential ratio type estimator, usual difference estimator and Rao (1991) difference-type estimator.