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Controlled multinomial allocation scheme
V. G. Mikhailov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract:
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.
Key words:
controlled polynomial allocation scheme, uniform strong mixing condition, number of empty cells.
Received 17.V.2017
Citation:
V. G. Mikhailov, “Controlled multinomial allocation scheme”, Mat. Vopr. Kriptogr., 9:1 (2018), 75–88
Linking options:
https://www.mathnet.ru/eng/mvk246https://doi.org/10.4213/mvk246 https://www.mathnet.ru/eng/mvk/v9/i1/p75
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