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Bernoulli distribution transformations by Boolean functions from closed classes

A. D. Yashunsky


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.

Language: English