A DIAGNOSTICS PROBLEM OF A-POSTERIOR PROBABILITY DETERMINATION VIA BAYES’ FORMULA OBTAINED IN THE MULTI-OPTIONAL HYBRID FUNCTIONS ENTROPY CONDITIONAL OPTIMIZATION WAY
Journal Title: Проблеми тертя та зношування - Year 2017, Vol 77, Issue
Abstract
The paper theoretically considers the possibility of the multi-optional hybrid func-tions entropy conditional optimization principle applicability with the purpose of discovering one more substantiated reason for the Mr. Thomas Bayes’ Theorem Formula existence, as well as the reasons for the formula optimality. The Bayes’ formula for a hypothesis’ a-posterior probability is obtained on the basis of multi-optional optimality doctrine with taking into account the degree of uncertainty, in the view of the entropy member, for a certain type hybrid-optional effectiveness functions. With the help of the variational principle it is shown the optimality of the Bayes’ formula. The approach is applicable to the variety of issues since it has a significance of a plausible explanation for phenomena stipulated by multi-optionality.
Authors and Affiliations
A. V. GONCHARENKO
Keywords
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