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Inform. Primen., 2019, Volume 13, Issue 1, Pages 62–66 (Mi ia579)  

This article is cited in 1 scientific paper (total in 1 paper)

textit{A priori} Frechet and scaled inverse chi distribution in Bayesian balance models

A. A. Kudryavtseva, S. I. Palionnaiaa, V. S. Shorginb

a 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: This article continues a series of authors' works in the field of modeling queuing systems using the Bayesian approach. The problem's statement is extended to a wider class of applied research — the study of the balance index of factors affecting the functioning of the system. It is assumed that the model parameters are divided into two classes, one of which includes factors that have a positive impact on the functioning of a complex aggregate and the other includes those that interferes with the functioning. The effectiveness of the system under study, of course, depends on the ratio of positive and negative factors, called the balance index. In the framework of the Bayesian approach, it is assumed that the factors are random variables with known a priori distributions. In a wide range of applied problems, it is reasonable to use gamma-type distributions. In this paper, the mixtures of particular generalized gamma distribution cases — the Frechet distribution and the scaled inverse chi distribution — are considered.

Keywords: Bayesian approach, scaled inverse chi distribution, Frechet distribution, gamma-exponential function, balance models, mixed distributions.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-07-00577_а
The work was partly supported by the Russian Foundation for Basic Research (project 17-07-00577).


DOI: https://doi.org/10.14357/19922264190109

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Received: 28.12.2018

Citation: A. A. Kudryavtsev, S. I. Palionnaia, V. S. Shorgin, “textit{A priori} Frechet and scaled inverse chi distribution in Bayesian balance models”, Inform. Primen., 13:1 (2019), 62–66

Citation in format AMSBIB
\Bibitem{KudPalSho19}
\by A.~A.~Kudryavtsev, S.~I.~Palionnaia, V.~S.~Shorgin
\paper textit{A priori} Frechet and~scaled inverse chi distribution in~Bayesian balance models
\jour Inform. Primen.
\yr 2019
\vol 13
\issue 1
\pages 62--66
\mathnet{http://mi.mathnet.ru/ia579}
\crossref{https://doi.org/10.14357/19922264190109}
\elib{http://elibrary.ru/item.asp?id=37170984}


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    This publication is cited in the following articles:
    1. A. A. Kudryavtsev, S. I. Palionnaya, V. S. Shorgin, “Apriornoe obobschennoe raspredelenie Freshe v baiesovskikh modelyakh balansa”, Sistemy i sredstva inform., 29:2 (2019), 39–45  mathnet  crossref
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