Computing the population mean on the use of auxiliary information under ranked set sampling

Document Type : Article

Author

Department of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad-826004, India

Abstract

In this manuscript, a generalized class of estimators has been developed for estimating a finite population means in ranked set sampling scheme. The expressions for bias and mean square error (MSE) of the proposed class of estimators have been derived up to the first order of approximation. Some estimators are shown to be a member of the proposed class. The proposed class of estimators has been compared through the MSE criterion over the other existing member estimators of the proposed class of estimators. The theoretical conditions are obtained under which the proposed class of estimators has performed better. Efficiency comparisons, empirical study, and simulation study also delineate the soundness of our proposed generalized class of the estimators under ranked set sampling (RSS).

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References

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Scientia Iranica
Volume 30, Issue 6
Transactions on Computer Science & Engineering and Electrical Engineering (D)
November and December 2023
Pages 2083-2097

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History

  • Receive Date: 29 April 2021
  • Revise Date: 22 May 2023
  • Accept Date: 08 July 2023

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