Computing the population mean on the use of auxiliary information under ranked set sampling

Abstract

In this manuscript, a generalized class of estimators has been developed for estimating nite population means in a Ranked Set Sampling (RSS) scheme. The expressions for bias and Mean Square Error (MSE) of the proposed class of estimators have been derived up to the rst order of approximation. Some estimators are shown to be a member of the proposed class. The proposed class of estimators has been compared through the MSE criterion over the other existing member estimators of the proposed class of estimators. The theoretical conditions are obtained under which the proposed class of estimators has performed better. E ciency comparisons, empirical studies, and simulation studies also delineate the soundness of our proposed generalized class of estimators under RSS.