New Exponential Ratio Estimator in Ranked Set Sampling

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 t...

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Bibliographic Details
Published in:Pakistan journal of statistics and operation research 2022-06, p.403-409
Main Authors: Khalid, Rather, KOÇYİĞİT, Eda Gizem, ÜNAL, Ceren
Format: Article
Language:English
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Summary: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 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.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v18i2.3921