This article is cited in 2 papers

Characteristics dependent on the balance coefficient in Bayesian models with compact support of a priori distributions

A. A. Kudryavtsev<sup>ab

a</sup> 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
^b Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation

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.

Keywords: Bayesian approach; mass service theory; reliability theory; mixed distributions; distributions with compact support.

Received: 29.06.2016

DOI: 10.14357/19922264160310

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