An improved family of estimators of finite population mean based on the auxiliary attribute

Abstract

Recently, Koyuncu (2012) [3] proposed an efficient family of estimators for estimation of finite population mean using information on the auxiliary attribute. In this paper, we propose two improved estimators of finite population mean. The biases and mean squared errors of the proposed estimators are derived up to the first order of approximation. It is observed that the first proposed estimator is always better than the first family of estimators adapted by Koyuncu (2012) [3]. An empirical study is carried out to demonstrate the performance of the proposed estimators.