EXPONENTIAL DISTRIBUTION DENSITY DERIVED WITH THE HELP OF THE MULTI-OPTIONAL HYBRID FUNCTIONS ENTROPY CONDITIONAL OPTIMIZATION
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 the substantiated reasons for the exponential distribution density exist-ence. Exponential distribution density for a random value is obtained on the basis of multi-optional optimality concept with taking into account the degree of uncer-tainty, in the view of the entropy member, for a special sort hybrid-optional effec-tiveness functions rather than on the basis of probabilistic speculations and deriva-tions. With the help of the variational principle it is shown the optimality of the dis-tribution density. 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
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