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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 301, Pages 320–335
DOI: https://doi.org/10.1134/S037196851802022X (Mi tm3910) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Algebras of probability distributions on finite sets

A. D. Yashunsky

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
Full-text PDF (280 kB) Citations (10)
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DOI: https://doi.org/10.1134/S037196851802022X
Abstract: We consider the problems of transforming random variables over finite sets by discrete functions. We describe the problems of exact and approximate expression of random variables as functions of other random variables from the point of view of universal algebra and provide a review of results in the area. Sufficient conditions are obtained for a system of transforming functions to allow the approximation of an arbitrary probability distribution on a finite set using a given nondegenerate initial distribution.
Funding agency Grant number
Russian Science Foundation 14-21-00025
This work is supported by the Russian Science Foundation under grant 14-21-00025.
Received: October 9, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 301, Pages 304–318
DOI: https://doi.org/10.1134/S0081543818040223
Bibliographic databases:
Document Type: Article
UDC: 519.7+512.57+519.213
Language: Russian
Citation: A. D. Yashunsky, “Algebras of probability distributions on finite sets”, Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018, 320–335; Proc. Steklov Inst. Math., 301 (2018), 304–318
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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