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Controlled multinomial allocation scheme
Matematičeskie voprosy kriptografii, Tome 9 (2018) no. 1, pp. 75-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the distribution of some characteristics (in particular, the number of empty cells) for the allocation scheme controlled by a stationary random process satisfying uniform mixing property. The estimates of the accuracy of Poisson approximation for these distributions and the corresponding limit theorems are obtained. 
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V. G. Mikhailov. Controlled multinomial allocation scheme. Matematičeskie voprosy kriptografii, Tome 9 (2018) no. 1, pp. 75-88. http://geodesic.mathdoc.fr/item/MVK_2018_9_1_a4/

[1] Elliott R. J., Aggoun L., Moore J. B., Hidden Markov Models, Springer-Verlag, N.-Y., 1995 | MR | Zbl

[2] Kolchin V. F., Sevastyanov B. A., Chistyakov V. P., Sluchainye razmescheniya, Nauka, M., 1976

[3] Ibragimov I. A., Linnik Yu. V., Nezavisimye i statsionarno svyazannye velichiny, Nauka, M., 1965

[4] Mikhailov V. G., “O veroyatnosti nalichiya v sluchainoi posledovatelnosti tsepochek s odinakovoi strukturoi”, Diskretnaya matematika, 28:3 (2016), 97–110 | DOI | Zbl

[5] Barbour A. D., Holst L., Janson S., Poisson Approximation, Oxford Univ. Press, Oxford, 1992 | MR | Zbl