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The law of the iterated logarithm for functionals of Harris recurrent Markov chains: Self normalization

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Publication:1295855
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DOI10.1023/A:1021630228280zbMath0937.60018MaRDI QIDQ1295855

Xia Chen

Publication date: 7 June 2000

Published in: Journal of Theoretical Probability (Search for Journal in Brave)


zbMATH Keywords

law of the iterated logarithmHarris recurrent Markov chainregeneration-split chain method


Mathematics Subject Classification ID

Strong limit theorems (60F15) Continuous-time Markov processes on discrete state spaces (60J27)


Related Items (6)

A Self-Normalized Central Limit Theorem for Markov Random Walks ⋮ The law of iterated logarithm for additive functionals and martingale additive functionals of Harris recurrent Markov processes ⋮ Limit theorems for additive functionals of path-dependent SDEs ⋮ On Nummelin splitting for continuous time Harris recurrent Markov processes and application to kernel estimation for multi-dimensional diffusions ⋮ Infinite server queues in a random fast oscillatory environment ⋮ How often does a Harris recurrent Markov chain recur?




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