Asymptotic independence and individual ratio limit theorems

DOI10.1007/BF00538797zbMath0488.60047OpenAlexW2009966444MaRDI QIDQ3949742

Richard Isaac

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00538797

zbMATH Keywords

asymptotic independencestrong ratio limit propertyindividual ratio limit theoremsmartingale ratio theorem

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Martingales with continuous parameter (60G44) Convergence of probability measures (60B10) Limit theorems in probability theory (60F99)

Cites Work

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• Strong ratio limit theorems for Phi-recurrent Markov chains
• Some topics in the theory of recurrent Markov processes
• Martingale Formulation of Ergodic Theorems
• The tail $\sigma$-fields of recurrent Markov processes
• Limit Theorems for Markov Transition Functions
• A ratio limit theorem for contraction projections and applications
• On the strong law of large numbers for a class of stochastic processes
• Some Limit Theorems for Stationary Processes
• A Useful Convergence Theorem for Probability Distributions

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