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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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

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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Asymptotic independence and individual ratio limit theorems

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00538797 ◽

1983 ◽

Vol 62 (2) ◽

pp. 201-214

Author(s):

Richard Isaac

Keyword(s):

Limit Theorems ◽

Asymptotic Independence ◽

Ratio Limit Theorems ◽

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Some ratio limit Theorems for a general state space Markov Process

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf01041973 ◽

1970 ◽

Vol 15 (1) ◽

pp. 29-50 ◽

Author(s):

Michael Leonard Levitan

Keyword(s):

Markov Process ◽

State Space ◽

Limit Theorems ◽

General State ◽

General State Space ◽

Ratio Limit Theorems ◽

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Pattern Theorems, Ratio Limit Theorems and Gumbel Maximal Clusters for Random Fields

Journal of Statistical Physics ◽

10.1007/s10955-007-9435-5 ◽

2007 ◽

Vol 130 (3) ◽

pp. 503-522 ◽

Author(s):

Remco van der Hofstad ◽

Wouter Kager

Keyword(s):

Random Fields ◽

Limit Theorems ◽

Ratio Limit Theorems ◽

Ratio Limit ◽

Maximal Clusters

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Ratio limit theorems for random walks on groups

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1966-0217887-2 ◽

1966 ◽

Vol 125 (1) ◽

pp. 86-86 ◽

Author(s):

Charles Stone

Keyword(s):

Random Walks ◽

Limit Theorems ◽

Random Walks On Groups ◽

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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Ratio limit theorems and Tauberian theorems for vector-valued functions and sequences

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.12.047 ◽

2010 ◽

Vol 367 (1) ◽

pp. 108-115

Author(s):

Jeng-Chung Chen ◽

Ryotaro Sato

Keyword(s):

Limit Theorems ◽

Tauberian Theorems ◽

Ratio Limit Theorems ◽

Ratio Limit ◽

Vector Valued Functions ◽

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