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KIAM Preprint № 38, Moscow, 2016
Authors: Yashunsky A. D.
Bernoulli distribution transformations by Boolean functions from closed classes
Abstract:
We consider the problem of approximating distributions of Bernoulli random variables by applying arbitrary Boolean functions from a closed class to independent identically distributed random variables with a given dsitribution. For every closed class of Boolean functions and any given initial distribution we provide a description of the approximable distribution set.
Keywords:
Bernoulli random variable, transformation, Boolean function, closed class
Publication language: russian/english,  pages: 23/22
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Yashunsky Alexey Dmitrievich,  orcid.org/0000-0002-3297-7444KIAM RAS