A. I. Afonina, I. Kayumov, Alexej Nikolaevich Chuprunov
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On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$
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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