Combination of regression and ratio estimate in presence of nonresponse

Abstract

This article addresses the problem of estimating the population mean of the study variable y using information on two auxiliary variables x and z in presence of nonresponse. Two classes of combined regression and ratio estimators are defined in two different situations along with their properties. An empirical study is carried out to judge the merits of the suggested estimators over usual unbiased estimator, ratio estimator and regression estimators. Both theoretical and empirical results are encouraging.