This article is cited in 1 paper

A Poisson limit theorem for a two-stage equiprobable scheme of allocating particles into cells

A. M. Zubkov, O. K. Shibanov


Abstract: We consider a two-stage scheme of allocating particles into cells. At the first stage, $N_0$ initial particles are independently and equiprobably allocated into $N_1$ cells of the first layer. At the second stage, these $N_1$ cells are taken as particles which are independently and equiprobably allocated into $N_2$ 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.

UDC: 519.2

Received: 12.12.2005

DOI: 10.4213/dm74

 English version: Discrete Mathematics and Applications, 2006, 16:6, 541–546

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