Algebras of Probability Distributions on Finite Sets

被引：2
|
作者：
Yashunsky, A. D. [1 ]
机构：
[1] Russian Acad Sci, Keldysh Inst Appl Math, Miusskaya Pl 4, Moscow 125047, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2018年 / 301卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
RATIONAL PROBABILITIES; RANDOM-WALKS; TRANSFORMATIONS; GENERATORS; LOGIC;
D O I：
10.1134/S0081543818040223
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：304 / 318
页数：15
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