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Ufa Mathematical Journal, 2016, Volume 8, Issue 2, Pages 14–21
DOI: https://doi.org/10.13108/2016-8-2-14 (Mi ufa338) 		 
On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$

A. I. Afonina, I. R. Kayumov, A. N. Chuprunov

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University
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DOI: https://doi.org/10.13108/2016-8-2-14
Abstract: We consider $n$ identical generalized schemes of allocating particles in cells. We study the probability of the event: for each generalized allocation scheme, there are at most $r$ particles in each cell, where $r$ is a given number. We obtain an asymptotic estimate for this probability and we consider the application of the obtained results to an antinoise coding.
Keywords: generalized allocation scheme, Cauchy integral, Hamming code.
Received: 29.12.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2016, Volume 8, Issue 2, Pages 14–21
Bibliographic databases:
Document Type: Article
UDC: 519.216
MSC: 60K30
Language: English
Original paper language: Russian
Citation: A. I. Afonina, I. R. Kayumov, A. N. Chuprunov, “On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$”, Ufimsk. Mat. Zh., 8:2 (2016), 14–21; Ufa Math. J., 8:2 (2016), 14–21
Citation in format AMSBIB
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    References:50
     
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