An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

Abstract

In a sampling study, the complete information for the necessary variables may not always be available in practice. Therefore, the non-response situation has been considered for estimating the unknown population parameters with different types of estimators. The families of estimators are proposed for the population mean in the case of non-response under two different cases with the approach of an exponential function. Their properties are derived in detail. We compare these estimators with the main estimators in the literature to present the efficiencies, theoretically. Moreover, the three different empirical studies are illustrated and, in that way, we found that the theoretical conclusion is supported by the obtained results numerically for each data set.

Keywords

• Population Mean
• Family of Estimators
• Auxiliary Information
• Non-Response
• Efficiency

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