Poisson Approximation of Processes with Locally Independent Increments with Markov Switching
Probability
2009-10-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0910.3648,
title = {Poisson Approximation of Processes with Locally Independent Increments with Markov Switching},
author = {V. S. Koroliuk and N. Limnios and I. V. Samoilenko},
journal= {arXiv preprint arXiv:0910.3648},
year = {2009}
}