Poisson Approximation of Processes with Locally Independent Increments with Markov Switching

Details Poisson Approximation of Processes with Locally Independent Increments with Markov Switching Poisson Approximation of Processes with Locally Independent Increments with Markov Switching

2009-10-19

arxiv.org/abs/0910.3648v1

Mathematics

Probability

Scientific paper

In this paper, the weak convergence of additive functionals of processes with locally independent increments and with Markov switching in the scheme of Poisson approximation is proved. For the relative compactness, a method proposed by R. Liptser for semimartingales is used with a modification, where we apply a solution of a singular perturbation problem instead of an ergodic theorem.

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