Geodesic
Multiparametric models of random partitions. Limit distributions and statistical inference
Matematičeskie voprosy kriptografii, Tome 13 (2022), pp. 37-51

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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. 
@article{MVK_2022_13_a1,
     author = {G. I. Ivchenko and Yu. I. Medvedev},
     title = {Multiparametric models of random partitions. {Limit} distributions and statistical inference},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {37--51},
     publisher = {mathdoc},
     volume = {13},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2022_13_a1/}
}
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G. I. Ivchenko; Yu. I. Medvedev. Multiparametric models of random partitions. Limit distributions and statistical inference. Matematičeskie voprosy kriptografii, Tome 13 (2022), pp. 37-51. http://geodesic.mathdoc.fr/item/MVK_2022_13_a1/