2007•Journal of Anhui Institute of Architecture & IndustryRequires access

Additive Property of Compound Poisson Distribution Poisson Process

Xu Huai

Abstract

The compound poisson distribution and poisson process close contact with poisson distribution are introduced first,which are widely used in accuracy and random process field.Basing on the additive property of poisson distribution,by the method of characteristic function,then the additive property of compound poisson distribution and poisson process are got in the paper.

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Key concepts: Compound Poisson distribution, Compound Poisson process, Poisson distribution, Poisson binomial distribution, Zero-inflated model, Discrete Poisson equation, Property (philosophy), Mathematics