A class of estimators of population mean using auxiliary information in the presence of non-response

Abstract

The paper deals with a new class of estimators of population mean under general sampling design whenever the problem of non-response exists in practice. Properties of the proposed class of estimators have been studied and an optimum class of estimators has been obtained. It is seen that the proposed class of estimators includes better estimators than usual regression type estimators. To support mathematical findings, numerical example is cited. n ¯ x1 + n 2 n ¯ x � , ¯1 and ¯ xdenote the sample mean of x based on n1 and r units respectively. The conventional and alternate regression estimator ¯ ∗ 1 and (Rao (9)) are defined by