An improved class of robust ratio estimators by using the minimum covariance determinant estimation

In this article, ratio estimators for the population mean have suggested using the robust covariance estimation under the simple random scheme. Zaman and Bulut have developed a class of ratio-type estimators for the mean estimation by utilizing robust regression coefficients. In this paper, we exten...

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Bibliographic Details
Published inCommunications in statistics. Simulation and computation Vol. 51; no. 5; pp. 2457 - 2463
Main Authors Bulut, Hasan, Zaman, Tolga
Format Journal Article
LanguageEnglish
Published Taylor & Francis 04.05.2022
Subjects
Efficiency
MCD estimation
MSE
Ratio-type estimators
Robust regression coefficients
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Summary:In this article, ratio estimators for the population mean have suggested using the robust covariance estimation under the simple random scheme. Zaman and Bulut have developed a class of ratio-type estimators for the mean estimation by utilizing robust regression coefficients. In this paper, we extend the estimators presented in Zaman and Bulut by using minimum covariance determinant (MCD) robust covariance estimation. The mean square error (MSE) equation for the new estimators is obtained. These theoretical results are supported with the aid of numerical example and simulation based on dataset that include outliers.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2019.1697818