Improved Estimators of the Population Mean for Missing Data

Motivated by a recent work by Kadilar and Cingi (2008 Kadilar , C. , Cingi , H. ( 2008 ). Estimators for the population mean in the case of missing data . Commun. Statist. Theor. Meth. 37 : 2226 – 2236 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]), we proposed three regression-type estimators to overcome the problem of missing data for a study variable. The estimators make optimal use of the available auxiliary information. We show that, given the same amount of information, these estimators are simpler and more efficient than those proposed by Kadilar and Cingi. A numerical illustration, performed on three different populations, highlights the efficiency gain from using our proposal. Finally, a suggestion is made regarding the optimal use of auxiliary information in sampling practice.