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KIAM Preprint  270, Moscow, 2018
Authors: Yashunsky A.D.
On limit points of Bernoulli distribution algebras
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 algebras limits point is either empty, one-element, or at least countable.
Keywords:
Bernoulli random variable, Boolean function, algebra, limit point
Publication language: russian,  pages: 16
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