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A Generalized Bayes Rule for Prediction

Scandinavian Journal of Statistics, 1999
In the case of prior knowledge about the unknown parameter, the Bayesian predictive density coincides with the Bayes estimator for the true density in the sense of the Kullback‐Leibler divergence, but this is no longer true if we consider another loss function.
CORCUERA J. M, GIUMMOLE', Federica
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Bayes classification rule for the general discrete case

Pattern Recognition, 1986
In this paper we consider discriminant functions based on Bayes classification rule for the general discrete case. The general form of discrete distribution is given. We prove that the application of Bayes classification rule gives the discriminant functions which are polynomials.
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A general bayes rule and its application to nonlinear estimation

Information Sciences, 1975
Abstract This paper consists of two main results, a general Bayes rule, and a general Bucy representation theorem. The general Bayes rule is a natural generalization of the elementary Bayes rule: P(A B) P(A) = P(B A) P(B) . The general Bucy representation theorem plays a central role in nonlinear estimation theory as does the Bucy ...
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Generalizing the standard product rule of probability theory and Bayes's Theorem

Journal of Econometrics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quasi-Bayesian Analysis Using Imprecise Probability Assessments And The Generalized Bayes’ Rule

Theory and Decision, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiscale Model Validation Based on Generalized Interval Bayes’ Rule and its Application in Molecular Dynamics Simulation

Volume 1A: 34th Computers and Information in Engineering Conference, 2014
Reliable simulation protocols supporting integrated computational materials engineering requires uncertainty to be quantified. In general, two types of uncertainties are recognized. Aleatory uncertainty is inherent randomness, whereas epistemic uncertainty is due to lack of knowledge.
Aaron E. Tallman   +3 more
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Cross-Scale, Cross-Domain Model Validation Based on Generalized Hidden Markov Model and Generalized Interval Bayes' Rule

2013
Reliable simulation protocols supporting integrated computational materials engineering (ICME) requires uncertainty to be quantified. In general, two types of uncertainties are recognized. Aleatory uncertainty is inherent randomness, whereas epistemic uncertainty is due to lack of knowledge.
Yan Wang   +2 more
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