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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2018 084, 14 pp. (Mi ipmp2444)

This article is cited in 1 paper

On subalgebras of probability distributions over finite rings

A. D. Yashunsky


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.

DOI: 10.20948/prepr-2018-84



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