This article is cited in 2 papers

On the rate of convergence of quasigroup convolutions of probability distributions

A. D. Yashunskii

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

Abstract: We consider one of the possible generalizations of sums of independent random variable to the case of operations on a finite set, namely quasigroup “sums” that use quasigroup operations on a given finite set instead of the addition operation. For quasigroup “sums” that contain $n$ independent identically distributed random variables we prove that the rate of convergence of distributions to uniform distribution is exponential in $n$.

Keywords: random variable sum, finite quasigroup, limit distribution, convergence rate.

UDC: 519.214.7

Received: 11.05.2022

DOI: 10.4213/dm1715

 English version: Discrete Mathematics and Applications, 2024, 34:1, 51–59

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