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JOURNALS // Diskretnaya Matematika // Archive

Diskr. Mat., 2018 Volume 30, Issue 2, Pages 148–161 (Mi dm1510)

This article is cited in 5 papers

Finite algebras of Bernoulli distributions

A. D. Yashunskii

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

Abstract: The paper is concerned with sets of Bernoulli distributions which are closed under substitutions of independent random variables into Boolean functions from a given set (an algebra of Bernoulli distributions). A description of all finite algebras of Bernoulli distributions is given.

Keywords: random variable, Bernoulli distribution, finite algebra.

UDC: 519.7+512.57

Received: 26.03.2018
Revised: 22.04.2018

DOI: 10.4213/dm1510


 English version:
Discrete Mathematics and Applications, 2019, 29:4, 267–276

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© Steklov Math. Inst. of RAS, 2026