An Alternative Method of the Proof of the Ergodic Theorem for General Markov Chains

DOI10.1137/S0040585X97T990459OpenAlexW3208849936WikidataQ114073924 ScholiaQ114073924MaRDI QIDQ5163521

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Publication date: 4 November 2021

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t990459

zbMATH Keywords

Markov chainssplitting methodergodic theoremstate spacetransition functionkernel of operatorHarris condition

Mathematics Subject Classification ID

Computer science (68-XX) Probability theory and stochastic processes (60-XX)

Cites Work

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• Recurrent Markov chains
• General Irreducible Markov Chains and Non-Negative Operators
• A splitting technique for Harris recurrent Markov chains
• A New Approach to the Limit Theory of Recurrent Markov Chains