Geodesic
Local limit theorem for the number of empty cells in a scheme of random equiprobable allocations
Diskretnaya Matematika, Tome 33 (2021) no. 4, pp. 83-93.

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A classical scheme of random equiprobable allocations of $n$ particles into $N$ cells is considered. We find an asymptotic formula for the probability that the number of empty cells is equal to $k$ under the condition that $n, N \to \infty$ in such a way that $n/(N - k)$ is bounded and separated from 1 from below.
Keywords: random equiprobable allocations, number of empty cells, local limit theorems. 
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O. P. Orlov. Local limit theorem for the number of empty cells in a scheme of random equiprobable allocations. Diskretnaya Matematika, Tome 33 (2021) no. 4, pp. 83-93. http://geodesic.mathdoc.fr/item/DM_2021_33_4_a7/

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