Finite algebras of Bernoulli distributions
Diskretnaya Matematika, Tome 30 (2018) no. 2, pp. 148-161

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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.
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     author = {A. D. Yashunskii},
     title = {Finite algebras of {Bernoulli} distributions},
     journal = {Diskretnaya Matematika},
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     url = {http://geodesic.mathdoc.fr/item/DM_2018_30_2_a10/}
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A. D. Yashunskii. Finite algebras of Bernoulli distributions. Diskretnaya Matematika, Tome 30 (2018) no. 2, pp. 148-161. http://geodesic.mathdoc.fr/item/DM_2018_30_2_a10/