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math.PR2009★ 3 cited
Levy Approximation of Impulsive Recurrent Process with Semi-Markov Switching
V. S. Koroliuk, N. Limnios, I. V. Samoilenko
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 c…
math.PR2009★ 10 cited
Poisson Approximation of Processes with Locally Independent Increments with Markov Switching
V. S. Koroliuk, N. Limnios, I. V. Samoilenko
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 pro…