Finite systems of operations for discrete probability distributions approximation

A. D. Yashunsky


Abstract: We consider distributions of random variables over a finite set, obtained as results of operations from a finite set on independent random variables with given distributions. We show that for any finite set there exists a finite set of operations allowing approximation of an arbitrary given distribution.

Keywords: random variable, finite set, approximation, finite set of operations.

DOI: 10.20948/prepr-2017-10