This article is cited in 1 paper

Convex algebras of probability distributions induced by finite associative rings

A. D. Yashunskii

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow

Abstract: We consider the transformations of random variables over a finite associative ring by the addition and multiplication operations. For arbitrary finite rings, we construct families of distribution algebras, which are sets of distributions closed over sums and products of independent random variables.

Keywords: random variable, finite ring, discrete probability distribution, algebra.

UDC: 519.213.4

Received: 13.06.2018

DOI: 10.4213/dm1525

 English version: Discrete Mathematics and Applications, 2021, 31:3, 223–230

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