You are here: Home :: Area NEM :: Mathematics

A. M. Zubkov, O. K. Shibanov

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

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.

Discrete Mathematics and Applications, Walter de Gruyter

Print ISSN: 0924-9266
Volume: 16, 12/2006
Pages: 541 - 546

Show full article (external site)

Show all available items of this journal

 

Area NEM