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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2024, Volume 15, Issue 1, Pages 35–55
DOI: https://doi.org/10.4213/mvk461
(Mi mvk461)
 

Random $A$-permutations in a parametric model

G. I. Ivchenko, Yu. I. Medvedev

Academy of Cryptography of the Russian Federation, Moscow
References:
Abstract: We consider permutations of the set $X_n=\{1,2,\ldots,n\}$ such that lengths of all their cycles are elements of the subset $A\subset \{1,2,\ldots\}$. For a parametric probability measure on the set $S_n(A)$ properties of the cycle structure of a random permutation are studied for several types of subset $A$. The problems of testing corresponding statistical hypotheses on the model are analyzed.
Key words: $A$-permutations, parametric probability model, limit theorems, statistical inferences.
Received 18.V.2023
Document Type: Article
UDC: 519.212.2
Language: Russian
Citation: G. I. Ivchenko, Yu. I. Medvedev, “Random $A$-permutations in a parametric model”, Mat. Vopr. Kriptogr., 15:1 (2024), 35–55
Citation in format AMSBIB
\Bibitem{IvcMed24}
\by G.~I.~Ivchenko, Yu.~I.~Medvedev
\paper Random $A$-permutations in a parametric model
\jour Mat. Vopr. Kriptogr.
\yr 2024
\vol 15
\issue 1
\pages 35--55
\mathnet{http://mi.mathnet.ru/mvk461}
\crossref{https://doi.org/10.4213/mvk461}
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  • https://doi.org/10.4213/mvk461
  • https://www.mathnet.ru/eng/mvk/v15/i1/p35
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