Ratio limit theorems for Markov chains

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1964-0173290-9 ◽

1964 ◽

Vol 15 (6) ◽

pp. 907-907 ◽

Author(s):

J. F. C. Kingman ◽

Steven Orey

Keyword(s):

Markov Chains ◽

Limit Theorems ◽

Ratio Limit Theorems ◽

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New ratio limit theorems for Markov chains

Analytic Methods in Applied Probability - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/207/13 ◽

2002 ◽

pp. 203-212 ◽

Author(s):

M. G. Shur

Keyword(s):

Markov Chains ◽

Limit Theorems ◽

Ratio Limit Theorems ◽

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Strong Ratio Limit Theorems for $\phi$-Recurrent Markov Chains

The Annals of Probability ◽

10.1214/aop/1176994987 ◽

1979 ◽

Vol 7 (4) ◽

pp. 639-650 ◽

Author(s):

E. Nummelin

Keyword(s):

Markov Chains ◽

Limit Theorems ◽

Ratio Limit Theorems ◽

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Ratio limit theorems for Markov chains

Pacific Journal of Mathematics ◽

10.2140/pjm.1965.15.989 ◽

1965 ◽

Vol 15 (3) ◽

pp. 989-1017 ◽

Author(s):

Sidney Port

Keyword(s):

Markov Chains ◽

Limit Theorems ◽

Ratio Limit Theorems ◽

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Ratio Limit Theorems for Self-Adjoint Operators and Symmetric Markov Chains

Theory of Probability and Its Applications ◽

10.1137/s0040585x97978221 ◽

2001 ◽

Vol 45 (2) ◽

pp. 273-288 ◽

Author(s):

M. G. Shur

Keyword(s):

Markov Chains ◽

Limit Theorems ◽

Ratio Limit Theorems ◽

Ratio Limit ◽

Adjoint Operators

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Eigenvectors and ratio limit theorems for Markov chains and their relatives

Journal d Analyse Mathématique ◽

10.1007/bf02791129 ◽

1999 ◽

Vol 78 (1) ◽

pp. 61-116 ◽

Author(s):

David E. Handelman

Keyword(s):

Markov Chains ◽

Limit Theorems ◽

Ratio Limit Theorems ◽

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On the Lin Condition in Strong Ratio Limit Theorems

Mathematical Notes ◽

10.1023/b:matn.0000030995.23171.d6 ◽

2004 ◽

Vol 75 (5/6) ◽

pp. 864-876 ◽

Author(s):

M. G. Shur

Keyword(s):

Limit Theorems ◽

Ratio Limit Theorems ◽

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Ratio limit theorems for cascade processes

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00531682 ◽

1964 ◽

Vol 3 (1) ◽

pp. 32-49 ◽

Author(s):

P. E. Ney

Keyword(s):

Limit Theorems ◽

Cascade Processes ◽

Ratio Limit Theorems ◽

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Ratio limit theorems

Markov Chains with Stationary Transition Probabilities ◽

10.1007/978-3-642-49686-8_29 ◽

1960 ◽

pp. 191-196

Author(s):

Kai Lai Chung

Keyword(s):

Limit Theorems ◽

Ratio Limit Theorems ◽

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Ratio limit theorems and applications to ergodic theory

Studia Mathematica ◽

10.4064/sm-66-3-237-245 ◽

1980 ◽

Vol 66 (3) ◽

pp. 237-245 ◽

Author(s):

Ryotaro Sato

Keyword(s):

Ergodic Theory ◽

Limit Theorems ◽

Ratio Limit Theorems ◽

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Ratio Limit Theorems

Canadian Journal of Mathematics ◽

10.4153/cjm-1976-040-8 ◽

1976 ◽

Vol 28 (2) ◽

pp. 403-407

Author(s):

A. G. Mucci

Keyword(s):

Limit Theorems ◽

Probability Space ◽

Random Variables ◽

Ratio Limit Theorems ◽

Ratio Limit ◽

Let be an adapted sequence of integrable random variables on the probability space . Let us set .The following result can be immediately derived from Brown [2]:

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