Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 7 , Issue 1 , PP: 43-50, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Nizar Altounji 1 * , Mohamed Bisher Zeina 2 , Moustafa Mazhar Ranneh 3
Doi: https://doi.org/10.54216/GJMSA.070105
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.
Neutrosophic , Loss Function , Risk Function , Conditional Density Function , Conditional Expectation , Posterior Risk Function , Maximum a Posteriori Estimator.
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