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KIAM Preprint  84, Moscow, 2018
Authors: Yashunsky A.D.
On subalgebras of probability distributions over finite rings
Abstract:
We consider the transformations of random variables over a finite ring by the addition and multiplication operations. For arbitrary finite rings we construct families of distribution subalgebras sets of distributions that are closed under taking sums and products of independent random variables.
Keywords:
random variable, finite ring, discrete probability distribution, subalgebra
Publication language: russian,  pages: 14
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Yashunsky Alexey Dmitrievich,  orcid.org/0000-0002-3297-7444KIAM RAS