Abstract:
We consider the scheme of equiprobable allocating $n$ groups of particles,
generally speaking, of different volumes, to $N$ cells.
For $N\to\infty$ and various relations between the parameters of the
scheme, we investigate the asymptotic behaviour of the number of empty
cells among the $M$ chosen cells after allocating $n$ groups of particles.
We obtain an integral and a local limit theorems
on convergence to the normal law, as well as the Poisson-like
limit theorems. In all cases considered, an estimate of the convergence
rate is given.
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