Geodesic
Multiparametric models of random partitions. Limit distributions and statistical inference
Matematičeskie voprosy kriptografii, Tome 13 (2022) no. 4, pp. 37-51 
G. I. Ivchenko; Yu. I. Medvedev. Multiparametric models of random partitions. Limit distributions and statistical inference. Matematičeskie voprosy kriptografii, Tome 13 (2022) no. 4, pp. 37-51. http://geodesic.mathdoc.fr/item/MVK_2022_13_4_a1/
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     title = {Multiparametric models of random partitions. {Limit} distributions and statistical inference},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A $d$-dimensional parametric model on the set of partitions of $n$-set is introduced and its detailed analysis for the two-dimensional case $(d=2)$ is carried out. The asymptotic behavior of the joint distribution of the numbers of blocks of even and odd sizes of a random partition is studied for $n \to \infty$, and statistical tests for the hypothesis on the uniformity of partitions against the possible alternatives are constructed.

[1] Ivchenko G.I., Medvedev Yu.I., “Sluchainye kombinatornye ob'ekty”, Doklady RAN, 396:2 (2004), 151–154 | MR

[2] Ivchenko G.I., Medvedev Yu.I., “Parametricheskie modeli sluchainykh kombinatornykh ob'ektov eksponentsialnogo tipa i voprosy ikh veroyatnostno-statisticheskogo analiza”, Matematicheskie voprosy kriptografii, 8:3 (2017), 41–56 | MR

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