Article
Ufa Mathematical Journal
Volume 8, Number 2, pp. 14-21
On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$.
Afonina A.I., Chuprunov A.N., Kayumov I.R.
DOI:10.13108/2016-8-2-14
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Article on MathNetAbstact
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.