This article is cited in 7 papers

On read-once transformations of random variables over finite fields

A. D. Yashunskii

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow

Abstract: Transformations of independent random variables over a finite field by read-once formulas are considered. Subsets of probability distributions that are preserved by read-once transformations are constructed. Also we construct a family of distributions that may be arbitrarily closely approximated by a read-once combination of independent identically distributed random variables, whose distributions have no zero components.

Keywords: random variable, finite field, probability distribution, invariant set, approximation.

UDC: 519.212.2+519.213.8+519.7

Received: 27.02.2015

DOI: 10.4213/dm1341

 English version: Discrete Mathematics and Applications, 2015, 25:5, 311–321

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