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Waiting time in a scheme of allocating particles to cells
V. P. Chistyakov Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
Abstract:
A modification of a scheme of allocating a random number of particles to cells is considered in which particles are allocated according to some multinomial scheme “in groups” with a random number of particles in each. The asymptotic properties of the distribution of the number of trials (allocated “groups” of particles) needed to fill a given number of cells are investigated.
Received in November 2012
Citation:
V. P. Chistyakov, “Waiting time in a scheme of allocating particles to cells”, Branching processes, random walks, and related problems, Collected papers. Dedicated to the memory of Boris Aleksandrovich Sevastyanov, corresponding member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 282, MAIK Nauka/Interperiodica, Moscow, 2013, 80–86; Proc. Steklov Inst. Math., 282 (2013), 73–79
Linking options:
https://www.mathnet.ru/eng/tm3489https://doi.org/10.1134/S0371968513030072 https://www.mathnet.ru/eng/tm/v282/p80
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Abstract page: | 403 | Full-text PDF : | 51 | References: | 35 |
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