Informatics and Applications
2016, Volume 10, Issue 3, pp 77-80
CHARACTERISTICS DEPENDENT ON THE BALANCE COEFFICIENT IN BAYESIAN MODELS WITH COMPACT SUPPORT OF A PRIORI DISTRIBUTIONS
Abstract
Distributions of some characteristics dependent on the balance coefficient, which is defined as a ratio of two parameters that are interpreted as the parameter "obstructing" the functioning of the system and the parameter "conducing" the functioning of the system, are presented. In the queuing theory for M|M|1 models, such characteristics are interpreted as an average amount of claims in the system, the readiness coefficient, the probability that the claim will not be lost and as the marginal system's reliability for the discrete exponential reliability model. In the framework of the Bayesian approach, it is supposed that initial parameters are random and have a priori distributions with compact support.
[+] References (5)
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[+] About this article
Title
CHARACTERISTICS DEPENDENT ON THE BALANCE COEFFICIENT IN BAYESIAN MODELS WITH COMPACT SUPPORT OF A PRIORI DISTRIBUTIONS
Journal
Informatics and Applications
2016, Volume 10, Issue 3, pp 77-80
Cover Date
2016-08-30
DOI
10.14357/19922264160310
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
Bayesian approach; mass service theory; reliability theory; mixed distributions; distributions with compact support
Authors
A. A. Kudryavtsev  , 
Author Affiliations
Department of Mathematical Statistics, 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 Sciences and Control” of the Russian
Academy of Sciences, 44-2 Vavilov Str.,Moscow 119333, Russian Federation
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