Central limit theorem for semi-Markov random evolutions

DOI10.1007/BF01056825zbMath0609.60035OpenAlexW2767858276MaRDI QIDQ5903342

Vladimir S. Korolyuk, Anatoliy Swishchuk

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056825

zbMATH Keywords

central limit theoremsemi-Markovian random evolutionsstorage and traffic process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diffusion processes (60J60) Markov renewal processes, semi-Markov processes (60K15) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (5)

Central limit theorem in the phase extension scheme for semi-Markov random evolutions ⋮ Evolution of systems in a semi-Markov random environment ⋮ Limiting representation of continuous semi-Markov random evolutions in the series scheme ⋮ Dual approximation of random evolutions in an averaging scheme ⋮ A central limit theorem for nonhomogeneous semi-Markov random evolutions

Cites Work

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• Random evolutions: A survey of results and problems
• Diffusion Approximations for Storage Processes with General Release Rules

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