An Exact πPSSampling Scheme—Generalization of a Method of Hanurav

Abstract

In his recent paper Hanurav (1967) discussed the problem of optimum utilization of auxiliary information for the estimation of the total (or mean) of a finite population and gave some solutions to the problem for the case of samples of size 2. In this paper we extend one of his procedures (sampling scheme A“ in his paper) to cover general sample sizes and also prove some of its optimum properties. The method is illustrated on the data given in Hanurav's paper.