Almost sure central limit theorem for non-stationary Markov chains

Communication in Statistics- Theory and Methods ◽

10.1080/03610926.2021.2004426 ◽

2021 ◽

pp. 1-8

Author(s):

Hui Yan ◽

Lifeng Xu ◽

Shaoyi Zhang

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

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The central limit theorem for Markov chains with normal transition operators, started at a point

Probability Theory and Related Fields ◽

10.1007/pl00008769 ◽

2001 ◽

Vol 119 (4) ◽

pp. 508-528 ◽

Author(s):

Yves Derriennic ◽

Michael Lin

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Central Limit ◽

The Central Limit Theorem ◽

Normal Transition ◽

Transition Operators

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A central limit theorem for Markov chains and applications to hypergroups

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-99-04665-1 ◽

1999 ◽

Vol 127 (6) ◽

pp. 1837-1845

Author(s):

Léonard Gallardo

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

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A central limit theorem for absorbing Markov chains

10.1093/biomet/57.1.129 ◽

1970 ◽

Vol 57 (1) ◽

pp. 129-139 ◽

Author(s):

Jane P. Matthews

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Central Limit ◽

Absorbing Markov Chains

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Central Limit Theorem for Markov Chains

Asymptotic Theory of Statistics and Probability - Springer Texts in Statistics ◽

10.1007/978-0-387-75971-5_10 ◽

2008 ◽

pp. 131-140

Author(s):

Anirban DasGupta

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

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A useful version of the central limit theorem for a general class of Markov chains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123725 ◽

2020 ◽

Vol 484 (1) ◽

pp. 123725 ◽

Author(s):

Dawid Czapla ◽

Katarzyna Horbacz ◽

Hanna Wojewódka-Ściążko

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Central Limit ◽

General Class ◽

The Central Limit Theorem

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A central limit theorem for the sojourn times of strongly ergodic Markov chains

Stochastic Processes and their Applications ◽

10.1016/0304-4149(79)90033-4 ◽

1979 ◽

Vol 9 (2) ◽

pp. 217-222

Author(s):

E. Bolthausen

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Central Limit ◽

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A Central Limit Theorem for Temporally Nonhomogenous Markov Chains with Applications to Dynamic Programming

Mathematics of Operations Research ◽

10.1287/moor.2016.0784 ◽

2016 ◽

Vol 41 (4) ◽

pp. 1448-1468 ◽

Author(s):

Alessandro Arlotto ◽

J. Michael Steele

Keyword(s):

Dynamic Programming ◽

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

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On the rate of convergence in the central limit theorem for Markov-chains

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00532600 ◽

1976 ◽

Vol 35 (1) ◽

pp. 57-63 ◽

Author(s):

D. Landers ◽

L. Rogge

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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Central limit theorem for triangular arrays of non-homogeneous Markov chains

Probability Theory and Related Fields ◽

10.1007/s00440-011-0371-6 ◽

2011 ◽

Vol 154 (3-4) ◽

pp. 409-428 ◽

Author(s):

Magda Peligrad

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Central Limit ◽

Triangular Arrays

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A central limit theorem for adaptive and interacting Markov chains

Bernoulli ◽

10.3150/12-bej493 ◽

2014 ◽

Vol 20 (2) ◽

pp. 457-485 ◽

Author(s):

G. Fort ◽

E. Moulines ◽

P. Priouret ◽

P. Vandekerkhove

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

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