Lévy and Poisson approximations of switched stochastic systems by a semimartingale approach
Author(s) -
Volodymyr S. Koroliuk,
Nikolaos Limnios,
Igor Samoilenko
Publication year - 2016
Publication title -
comptes rendus mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 68
eISSN - 1778-3569
pISSN - 1631-073X
DOI - 10.1016/j.crma.2016.04.008
Subject(s) - semimartingale , mathematics , poisson distribution , convergence (economics) , quadratic growth , pure mathematics , perturbation (astronomy) , mathematical analysis , physics , statistics , quantum mechanics , economics , economic growth
In this Note, we present the weak convergence of additive functionals of processes with locally independent increments and Markov switching in Lévy and Poisson approximation schemes. The singular perturbation problem for the generators of switched processes is used to prove the semimartingales' predictable characteristics convergence
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