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

Author

Listed:
  • Mohammed S. Kotb

    (Al-Azhar University
    Al-Baha University)

  • Haidy A. Newer

    (Ain-Shams University)

  • Marwa M. Mohie El-Din

    (Egyptian Russian University)

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.

Suggested Citation

  • Mohammed S. Kotb & Haidy A. Newer & Marwa M. Mohie El-Din, 2024. "Bayesian Inference for the Entropy of the Rayleigh Model Based on Ordered Ranked Set Sampling," Annals of Data Science, Springer, vol. 11(4), pages 1435-1458, August.
    • Handle: RePEc:spr:aodasc:v:11:y:2024:i:4:d:10.1007_s40745-024-00514-7
    DOI: 10.1007/s40745-024-00514-7
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    References listed on IDEAS

    as
    1. Mostafa M. Mohie El-Din & Mohamed S. Kotb & Ehab F. Abd-Elfattah & Haidy A. Newer, 2017. "Bayesian inference and prediction of the Pareto distribution based on ordered ranked set sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(13), pages 6264-6279, July.
    2. Cassio Neri & Lorenz Schneider, 2012. "Maximum entropy distributions inferred from option portfolios on an asset," Finance and Stochastics, Springer, vol. 16(2), pages 293-318, April.
    3. Naif Alotaibi & A. S. Al-Moisheer & Ibrahim Elbatal & Mansour Shrahili & Mohammed Elgarhy & Ehab M. Almetwally, 2023. "Half Logistic Inverted Nadarajah–Haghighi Distribution under Ranked Set Sampling with Applications," Mathematics, MDPI, vol. 11(7), pages 1-32, April.
    4. James M. Tien, 2017. "Internet of Things, Real-Time Decision Making, and Artificial Intelligence," Annals of Data Science, Springer, vol. 4(2), pages 149-178, June.
    5. Kundu, Debasis & Howlader, Hatem, 2010. "Bayesian inference and prediction of the inverse Weibull distribution for Type-II censored data," Computational Statistics & Data Analysis, Elsevier, vol. 54(6), pages 1547-1558, June.
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