On limit points of Bernoulli distribution algebras

A. D. Yashunsky


Abstract: We consider algebras of Bernoulli distributions, i. e. sets of distributions that are closed under transformations defined by substituting independent random variables for variables of a Boolean function from a given system. We establish that unless the transforming functions are unary the set of algebra’s limits point is either empty, one-element, or at least countable.

Keywords: Bernoulli random variable, Boolean function, algebra, limit point.

DOI: 10.20948/prepr-2018-270

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