New Generalized Estimators for the Population Variance Using Auxiliary Information

Abstract

We suggest a generalized class of estimators for the population varianceusing an auxiliary variable. Triphati et al. (T.P. Tripathi, Singh, H.P.and Upadhyaya, L.N. A general method of estimation and its application to the estimation of coefficient of variation, Statistics in Transition5(6), 887–908, 2002) proposed some generalized estimators for a population parameter. By adapting these estimators to population variance,we develop some estimators. We obtain the mean square error (MSE)equation of the proposed estimators. We illustrate the results with anapplication using original data.