Systems and Means of Informatics
2019, Volume 29, Issue 2, pp 39-45
A PRIORI GENERALIZED FRECHET DISTRIBUTION IN BAYESIAN BALANCE MODELS
- A. A. Kudryavtsev
- S. I. Palionnaia
- V. S. Shorgin
Abstract
This article continues a series of authors' works in the field of applying the Bayesian approach to queuing, reliability and balance models. In the framework of this approach, when complex aggregates are considered, all parameters affecting the functioning of the system are divided into two classes: contributing and preventing correct functioning of the system. The probabilistic characteristics of the balance index - the ratio of factors that negatively affect the operation of the system to positively influencing factors - are studied under the assumption that the factors are random variables with known a priori distributions. In this work, the probabilistic characteristics of the system's balance index are concerned in the case when both factors have an a priori generalized Frechet distribution. The results are presented in terms of a special gamma exponential function.
[+] References (5)
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[+] About this article
Title
A PRIORI GENERALIZED FRECHET DISTRIBUTION IN BAYESIAN BALANCE MODELS
Journal
Systems and Means of Informatics
Volume 29, Issue 2, pp 39-45
Cover Date
2019-05-30
DOI
10.14357/08696527190204
Print ISSN
0869-6527
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
Bayesian approach; generalized Frechet distribution; gamma exponential function; balance models; mixed distributions
Authors
A. A. Kudryavtsev  , S. I. Palionnaia , and V. S. Shorgin 
Author Affiliations
Faculty of Computational Mathematics and Cybernetics, M.V. Lomonosov Moscow State University, 1-52 Leninskiye Gory, GSP-1, Moscow 119991, Russian Federation
Institute of Informatics Problems, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
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