Jean Jacod
Abstract
We show that there exists a pair of Poisson processes which are not stochastically independent, and whose sum is still a Poisson process.
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We show that there exists a pair of Poisson processes which are not stochastically independent, and whose sum is still a Poisson process.
Key concepts: Mathematics, Compound Poisson process, Poisson distribution, Poisson process, Zero-inflated model, Poisson binomial distribution, Cox process, Compound Poisson distribution