Estimation of population mean using mean square error by double sampling the non - respondents

In this paper, we have considered the problem of estimating the population mean of study character using mean square error by double sampling the non-respondents. Two generalized estimators for estimating the population mean using auxiliary character under two different cases are proposed. Further the problem has been extended to the wider classes of estimators, which include several generalized estimators as a particular member. The bias, mean square error and optimum property of the proposed classes of estimators have been obtained under different cases. The efficiency of the proposed classes of estimators has also been shown through the theoretical and empirical studies. © 2012 Elixir All rights reserved. ARTICLE INFO Articl e history: Received: 7 August 2012; Received in revised form: 30 September 2012; Accepted: 5 October 2012;