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Uniform limit theorems for Harris recurrent Markov chains

✍ Scribed by Shlomo Levental

Publisher: Springer
Year: 1988
Tongue: English
Weight: 807 KB
Volume: 80
Category: Article
ISSN: 1432-2064
DOI: 10.1007/bf00348754

No coin nor oath required. For personal study only.

✦ Synopsis

We study uniform limit theorems for regenerative processes and get strong law of large numbers and central limit theorem of this type. Then we apply those results to Harris recurrent Markov chains based on some ideas of K. Athreya, P. Ney and E. Nummelin.

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