A New Ratio Estimator for Population total in the Presence of Nonresponse under Unequal Probability Sampling without Replacement

Chugiat Ponkaew, Nuanpan Lawson

Abstract

In this paper, a modified ratio estimator for estimating population total in the presence of nonresponse under unequal probability sampling without replacement are proposed under the conditions of with or without response probability.  The modified estimator is investigated under a reverse framework with a uniform nonresponse mechanism where the overall sampling fraction is negligible. Theoretical studies show that the proposed estimator is asymptotically unbiased and more efficient than the existing one.