The central limit theorem for additive functionals of Markov and semi- Markov processes

DOI10.1007/BF01093831zbMath0673.60020OpenAlexW2326187159MaRDI QIDQ1120890

Vladimir S. Korolyuk

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01093831

zbMATH Keywords

equationsasymptotic analysis of singularly perturbed Markov renewalasymptotic analysis of singularly perturbed Markov renewal equationslimit theorems for additive functionalssingularly perturbed semigroups of operators

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov renewal processes, semi-Markov processes (60K15)

Related Items (2)

Excursions and path functionals for stochastic processes with asymptotically zero drifts ⋮ Local theorems for (multidimensional) additive functionals of semi-Markov chains

Cites Work

• Central limit theorem for homogeneous processes with independent increments and semi-Markov commutations
• On a Class of Markov Processes Taking Values on Lines and the Central Limit Theorem
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