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A Poisson limit theorem for a two-stage equiprobable scheme of allocating particles into cells
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A. M. Zubkov
Veröffentlicht/Copyright:
1. Dezember 2006
We consider a two-stage scheme of allocating particles into cells. At the first stage, N0 initial particles are independently and equiprobably allocated into N1 cells of the first layer. At the second stage, these N1 cells are taken as particles which are independently and equiprobably allocated into N2 cells of the second layer. We present conditions under which the distribution of the number of cells of the second layer containing exactly r particles converges to the Poisson law.
Published Online: 2006-12-01
Published in Print: 2006-12-01
Copyright 2006, Walter de Gruyter
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- A Poisson limit theorem for a two-stage equiprobable scheme of allocating particles into cells
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- On the structure of equationally closed classes
- On circuits of functional elements of finite depth of branching
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Artikel in diesem Heft
- On transition of distributions of sums of independent identically distributed random variables from one lattice to another in the generalised allocation scheme
- A Poisson limit theorem for a two-stage equiprobable scheme of allocating particles into cells
- Some relations between discrete statistical problems and properties of probability measures on topological spaces
- Large deviations for the number of trees of a given size and for the maximum size of a tree in a random forest
- On the structure of equationally closed classes
- On circuits of functional elements of finite depth of branching
- Examples of α-complete systems of k-valued logic for k = 3, 4
- An application of the method of additive chains to inversion in finite fields
- Schemes of public distribution of a key based on a noncommutative operation
