Limit Distributions of the Maximum Filling of Cells in One Allocation Scheme

Evropejskij Issledovatelʹ

Yury L. Pavlov¹  Elena V. Khvorostyanskaya¹ 

[1] Institute of Applied Mathematical Research, Karelian Research Centre of RAS, Russian Federation;

关键词: allocating particles to cells;    limit distribution;    maximum filling of cells;   

DOI  :  

来源: DOAJ

【 摘 要 】

This article examines a model for allocating particles to N different cells, wherein the chance quantities ξ1, …, ξN , which are equal to the number of particles in cells, are independent and have a Poisson distribution. The author obtains the limit distributions of the maximum filling of cells for the subset of realizations of such a scheme which satisfy the condition ξ1+…+ξN≤ n, at N→∞.

【 授权许可】

Unknown