Limit Poisson law for the distribution of the number of components in generalized allocation scheme-Reference-Cited by-同舟云学术

Limit Poisson law for the distribution of the number of components in generalized allocation scheme

Published:2019-08-27 Issue:4 Volume:29 Page:255-266
ISSN:0924-9265
Container-title:Discrete Mathematics and Applications
language:
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Author:

Timashev Aleksandr N.

Abstract

Abstract We consider problems on the convergence of distributions of the total number of components and numbers of components with given volume to the Poisson law. Sufficient conditions of such convergence are given. Our results generalize known statemets on the limit Poisson laws of the number of components (cycles, unrooted and rooted trees, blocks and other structures) in the corresponding generalized of allocation schemes.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

https://www.degruyter.com/document/doi/10.1515/dma-2019-0023/pdf

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