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Galoitica: Journal of Mathematical Structures and Applications
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Title

Introduction to Neutrosophic Bayes Estimation Theory

  Nizar Altounji 1 * ,   Mohamed Bisher Zeina 2 ,   Moustafa Mazhar Ranneh 3

1  Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria.
    (nizar.altounji.94@hotmail.com)

2  Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria.
    (bisher.zeina@gmail.com)

3  Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria.
    (moustafa.ranneh26@gmail.com)

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Doi   :   https://doi.org/10.54216/GJMSA.070105

Received: February 27, 2022 Revised: June 18, 2023 Accepted: August 16, 2023

Abstract :

This research presents the concept of neutrosophic Bayesian estimation defining the neutrosophic loss function, neutrosophic risk function, neutrosophic posterior risk function and neutrosophic maximum a posteriori estimator. Minimization of the neutrosophic posterior risk of the estimator is also discussed. An algebraic isomorphism is used to simplify equations solving. As an application of the presented theorems, a sample drawn from a neutrosophic gamma distribution with a conjugate prior is discussed and studied and the parameter of the formulated distribution is successfully estimated using neutrosophic quadratic loss function which results an estimator that equals the posterior mean.

Keywords :

Neutrosophic; Loss Function; Risk Function; Conditional Density Function; Conditional Expectation; Posterior Risk Function; Maximum a Posteriori Estimator.

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Cite this Article as :
Style #
MLA Nizar Altounji, Mohamed Bisher Zeina, Moustafa Mazhar Ranneh. "Introduction to Neutrosophic Bayes Estimation Theory." Galoitica: Journal of Mathematical Structures and Applications, Vol. 7, No. 1, 2023 ,PP. 43-50 (Doi   :  https://doi.org/10.54216/GJMSA.070105)
APA Nizar Altounji, Mohamed Bisher Zeina, Moustafa Mazhar Ranneh. (2023). Introduction to Neutrosophic Bayes Estimation Theory. Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 ( 1 ), 43-50 (Doi   :  https://doi.org/10.54216/GJMSA.070105)
Chicago Nizar Altounji, Mohamed Bisher Zeina, Moustafa Mazhar Ranneh. "Introduction to Neutrosophic Bayes Estimation Theory." Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 no. 1 (2023): 43-50 (Doi   :  https://doi.org/10.54216/GJMSA.070105)
Harvard Nizar Altounji, Mohamed Bisher Zeina, Moustafa Mazhar Ranneh. (2023). Introduction to Neutrosophic Bayes Estimation Theory. Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 ( 1 ), 43-50 (Doi   :  https://doi.org/10.54216/GJMSA.070105)
Vancouver Nizar Altounji, Mohamed Bisher Zeina, Moustafa Mazhar Ranneh. Introduction to Neutrosophic Bayes Estimation Theory. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 7 ( 1 ): 43-50 (Doi   :  https://doi.org/10.54216/GJMSA.070105)
IEEE Nizar Altounji, Mohamed Bisher Zeina, Moustafa Mazhar Ranneh, Introduction to Neutrosophic Bayes Estimation Theory, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 7 , No. 1 , (2023) : 43-50 (Doi   :  https://doi.org/10.54216/GJMSA.070105)
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