On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$

IF 0.5 Q3 MATHEMATICS Ufa Mathematical Journal Pub Date : 2016-01-01 DOI:10.13108/2016-8-2-14
A. I. Afonina, I. Kayumov, Alexej Nikolaevich Chuprunov
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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.
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关于事件的概率:在$n$广义分配方案中,每个单元的体积不超过$r$
我们考虑了细胞内粒子分配的n种相同的广义方案。我们研究事件的概率:对于每个广义分配方案,每个单元中最多有r个粒子,其中r为给定数。我们得到了该概率的渐近估计,并考虑将所得结果应用于抗噪编码。
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