On some properties of finitely generating transformer sets for $p$-ary fractions

E. E. Trifonova

Keldysh Institute of Applied Mathematics, 4 Miusskaya Square, 125047 Moscow, Russia

Abstract: We study expressibility of rational probabilities under transformations of random variables with distributions from some initial set by Boolean functions. We investigate finite generation of probabilities expressed by $p$-ary fractions for prime $p$ not less than $5$. We prove some properties that Boolean functions from a finitely generating set should have. Bibliogr. 11.

Keywords: Bernoulli random variable, finite generation, random variable transformation.

UDC: 519.7

Received: 25.01.2022
Revised: 25.01.2022
Accepted: 25.03.2022

DOI: 10.33048/daio.2022.29.731

 English version: Journal of Applied and Industrial Mathematics, 2022, 16:4, 834–840

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