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