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Diskretnyi Analiz i Issledovanie Operatsii, 2022, Volume 29, Issue 4, Pages 124–135
DOI: https://doi.org/10.33048/daio.2022.29.731
(Mi da1312)
 

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
References:
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.
Received: 25.01.2022
Revised: 25.01.2022
Accepted: 25.03.2022
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: E. E. Trifonova, “On some properties of finitely generating transformer sets for $p$-ary fractions”, Diskretn. Anal. Issled. Oper., 29:4 (2022), 124–135
Citation in format AMSBIB
\Bibitem{Tri22}
\by E.~E.~Trifonova
\paper On some properties of finitely generating transformer sets for $p$-ary fractions
\jour Diskretn. Anal. Issled. Oper.
\yr 2022
\vol 29
\issue 4
\pages 124--135
\mathnet{http://mi.mathnet.ru/da1312}
\crossref{https://doi.org/10.33048/daio.2022.29.731}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4523646}
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