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Random $A$-permutations in a parametric model
G. I. Ivchenko, Yu. I. Medvedev Academy of Cryptography of the Russian Federation, Moscow
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
Citation:
G. I. Ivchenko, Yu. I. Medvedev, “Random $A$-permutations in a parametric model”, Mat. Vopr. Kriptogr., 15:1 (2024), 35–55
Linking options:
https://www.mathnet.ru/eng/mvk461https://doi.org/10.4213/mvk461 https://www.mathnet.ru/eng/mvk/v15/i1/p35
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Abstract page: | 83 | Full-text PDF : | 11 | References: | 11 | First page: | 1 |
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