Approximation of probability distributions by $k$-valued logic functions

A. D. Yashunsky


Abstract: We consider distribution transformation for random variables over a finite set. We show that substituting independent identically distributed random variables with a given distribution for variables of a specific $k$-valued functions, one my obtain an arbitrarily close approximation of any given distribution.

Keywords: random variable, $k$-valued logic function, approximation.

DOI: 10.20948/prepr-2016-58