Two limit theorems for ergodically regenerated stochastic processes

DOI10.1017/S0305004100060837zbMath0522.60032MaRDI QIDQ3672811

Joseph Kupka

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

regenerative phenomenonregenerated process

Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15) Functional limit theorems; invariance principles (60F17)

Cites Work

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• On the renewal equation
• Strong liftings commuting with minimal distal flows
• On mixing and stability of limit theorems
• A note on the convergence of Banach-space valued martingales
• A survey of the theory of spectral operators
• Strong ratio limit property
• A continuous time analogue of the theory of recurrent events
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• The stochastic theory of regenerative events

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