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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.
Received: 25.01.2022 Revised: 25.01.2022 Accepted: 25.03.2022
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
Linking options:
https://www.mathnet.ru/eng/da1312 https://www.mathnet.ru/eng/da/v29/i4/p124
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Abstract page: | 77 | Full-text PDF : | 13 | References: | 23 | First page: | 5 |
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