The Sums and Applications of Poisson Processes and Compound Poisson Processes
Wang Cai-yan
Abstract
Wang Cai-yan
Abstract
The definitions of the sums for Poisson processes and compound Poisson processes are given.It is proved that their sums are Poisson process and compound Poisson processes.
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The definitions of the sums for Poisson processes and compound Poisson processes are given.It is proved that their sums are Poisson process and compound Poisson processes.
Key concepts: Poisson distribution, Compound Poisson process, Compound Poisson distribution, Poisson binomial distribution, Zero-inflated model, Mathematics, Poisson regression, Applied mathematics