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Volume 29, No 4, 2022, P. 124-135
UDC 519.7
E. E. Trifonova
On some properties of finitely generating transformer sets for $p$-ary fractions
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.
DOI: 10.33048/daio.2022.29.731
Ekaterina E. Trifonova 1
1. Keldysh Institute of Applied Mathematics,
4 Miusskaya Square, 125047 Moscow, Russia
e-mail: etrifonova@keldysh.ru
Received January 25, 2022
Revised January 25, 2022
Accepted March 25, 2022
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