ln-Type Variance Estimators in Simple Random Sampling

Until now, various types of estimators have been used for estimating the population variance in simple random sampling studies, including ratio, product, regression and exponential-type estimators. In this article, we propose a family of -type estimators for the first time in the simple random sampl...

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Bibliographic Details
Published in:Pakistan journal of statistics and operation research 2020-12, p.689-696
Main Authors: Oncel Cekim, Hatice, Kadilar, Cem
Format: Article
Language:English
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Summary:Until now, various types of estimators have been used for estimating the population variance in simple random sampling studies, including ratio, product, regression and exponential-type estimators. In this article, we propose a family of -type estimators for the first time in the simple random sampling and show that they are more efficient than the other types of estimators under certain conditions obtained theoretically. Numerical illustrations and a simulation study support our findings in theory. In addition, it has been shown how to determine the optimal points in order to reach the minimum MSE values with the properties of the ln-type estimators in the different data sets.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v16i4.3072