Bayesian Inference for the Entropy of the Rayleigh Model Based on Ordered Ranked Set Sampling

Mohammed S. Kotb (), Haidy A. Newer () and Marwa M. Mohie El-Din ()
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Mohammed S. Kotb: Al-Azhar University
Haidy A. Newer: Ain-Shams University
Marwa M. Mohie El-Din: Egyptian Russian University

Annals of Data Science, 2024, vol. 11, issue 4, No 14, 1435-1458

Abstract: Abstract Recently, ranked set samples schemes have become quite popular in reliability analysis and life-testing problems. Based on ordered ranked set sample, the Bayesian estimators and credible intervals for the entropy of the Rayleigh model are studied and compared with the corresponding estimators based on simple random sampling. These Bayes estimators for entropy are developed and computed with various loss functions, such as square error, linear-exponential, Al-Bayyati, and general entropy loss functions. A comparison study for various estimates of entropy based on mean squared error is done. A real-life data set and simulation are applied to illustrate our procedures.

Keywords: Bayesian estimation; Ordered ranked set sampling; Rayleigh distribution; Shannon entropy; Symmetric and asymmetric loss functions (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s40745-024-00514-7

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