Levy Approximation of Impulsive Recurrent Process with Semi-Markov Switching

Details Levy Approximation of Impulsive Recurrent Process with Semi-Markov Switching Levy Approximation of Impulsive Recurrent Process with Semi-Markov Switching

2009-10-20

arxiv.org/abs/0910.3769v1

Mathematics

Probability

Scientific paper

In this paper, the weak convergence of impulsive recurrent process with
semi-Markov switching in the scheme of Levy approximation is proved. Singular
perturbation problem for the compensating operator of the extended Markov
renewal process is used to prove the relative compactness.

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