2005•Unpublished venueRequires access

Compound Poisson Processes and Its Applications

Kang Dian-tong

Abstract

The amount and times of total compensations for a insurance company are studied by making use of regenerative property of a homogeneous Poisson process, we obtained that the sum of times of all kinds of the total compensations constitutes a homogeneous Poisson process; whereas that the total amount of all kinds of the total compensations constitutes a compound Poisson process. At the same time, we investigated some applications of the homogeneous Poisson process and the compound Poisson process in insurance.

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Key concepts: Compound Poisson process, Poisson distribution, Poisson process, Homogeneous, Process (computing), Property (philosophy), Poisson regression, Compound Poisson distribution