Exponential Ratio Type Estimator In The Presence of Non-Response

Ceren Unal (cerenunal@hacettepe.edu.tr)
Department of Statistics, Faculty of Science, Hacettepe University, Ankara, Turkey
Cem Kadilar
Department of Statistics, Faculty of Science, Hacettepe University,, Ankara, Turkey

ABSTRACT

We propose exponential ratio type estimator to estimate the population mean under non-response scheme in this article. The expressions for the Bias and Mean Square Error (MSE) are derived and theoretical comparisons are made to examine the efficiencies of the estimator with the estimators considered by many researchers in the literature. In the end of the article, the efficiencies of the proposed estimator is supported numerically by three different data sets. According to theoretical and numerical results, it is concluded that the proposed estimator is the most efficient estimator among all others and can be applied successfully.
Keywords: Non-Response, Exponential Type Estimator, Ratio Estimator, Efficiency, Mean Square Error.
JEL Classification: C83

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Romanian Statistical Review 3/2021