L ∞ — Limit theorems for Markov processes

1969 ◽  
Vol 7 (1) ◽  
pp. 60-62 ◽  
Author(s):  
S. Horowitz
Keyword(s):  
Markov Processes ◽  
Limit Theorems

scholarly journals Central limit theorems for supercritical branching Markov processes

2014 ◽  
Vol 266 (3) ◽  
pp. 1716-1756 ◽  
Author(s):  
Yan-Xia Ren ◽  
Renming Song ◽  
Rui Zhang
Keyword(s):  
Central Limit ◽  
Markov Processes ◽  
Limit Theorems ◽  
Central Limit Theorems

scholarly journals Limit Theorems for Semi-Markov Processes and Renewal Theory for Markov Chains

1978 ◽  
Vol 6 (5) ◽  
pp. 788-797 ◽  
Author(s):  
K. B. Athreya ◽  
D. McDonald ◽  
P. Ney
Keyword(s):  
Markov Chains ◽  
Markov Processes ◽  
Limit Theorems ◽  
Renewal Theory ◽  
Semi Markov Processes

scholarly journals Limit Theorems for Reversible Markov Processes

1973 ◽  
Vol 1 (6) ◽  
pp. 1014-1025
Author(s):  
Michael L. Levitan ◽  
Lawrence H. Smolowitz
Keyword(s):  
Markov Processes ◽  
Limit Theorems ◽  
Reversible Markov Processes

scholarly journals A Note on Rényi's ‘Record’ Problem and Engel's Series

2018 ◽  
Vol 61 (2) ◽  
pp. 363-369 ◽  
Author(s):  
Lulu Fang ◽  
Min Wu
Keyword(s):  
Number Theory ◽  
Large Deviations ◽  
Markov Processes ◽  
Classical Limit ◽  
Limit Theorems ◽  
London Math ◽  
Law Of Large Numbers ◽  
Record Times ◽  
Iterated Logarithm ◽  
Large Numbers

AbstractIn 1973, Williams [D. Williams, On Rényi's ‘record’ problem and Engel's series, Bull. London Math. Soc.5 (1973), 235–237] introduced two interesting discrete Markov processes, namely C-processes and A-processes, which are related to record times in statistics and Engel's series in number theory respectively. Moreover, he showed that these two processes share the same classical limit theorems, such as the law of large numbers, central limit theorem and law of the iterated logarithm. In this paper, we consider the large deviations for these two Markov processes, which indicate that there is a difference between C-processes and A-processes in the context of large deviations.

Limit Theorems for Homogeneous Markov Processes

1979 ◽  
Vol 23 (4) ◽  
pp. 700-711
Author(s):  
G. P. Klimov
Keyword(s):  
Markov Processes ◽  
Limit Theorems
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