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New Exponential Ratio Estimator in Ranked Set Sampling

Author(s)
Khalid Ul Islam Rather Division of Statistics and Computer Science Faculty of Basic Sciences SKUAST-J,180009,India
Eda Gizem Koçyiğit Dokuz Eylul University Faculty of Science Department of Statistics,,Turkey
Ceren Ünal Hacettepe University Faculty of Science Department of Statistics,,Turkey
M. Iqbal Jeelani Division of Statistics and Computer Science Faculty of Basic Sciences SKUAST-J,180009,India
Abstract
In this study, we adapted the families of estimators from Ünal and Kadilar (2021) using the exponential function for the population mean in case of non-response for simple random sampling for the estimation of the mean of the population with the RSS (ranked set sampling) method. The equations for the MSE (mean square error) and the bias of the adapted estimators are obtained for RSS and it in theory shows that the proposed estimator is additional efficient than the present RSS mean estimators in the literature. In addition, we support these theoretical results with real COVID-19 real data and conjointly the simulation studies with different distributions and parameters. As a result of the study, it was observed that the efficiency of the proposed estimator was better than the other estimators.
Publication Details
Page(s) 403-409
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 18, Issue: 2, Year: 2022

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Keywords
efficiency, Exponential Ratio Estimator, Ranked set sampling, mean square error (MSE).
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