scholarly journals Ratio limit theorems for random walks on groups

1966 ◽  
Vol 125 (1) ◽  
pp. 86-86 ◽  
Author(s):  
Charles Stone
Keyword(s):  
Random Walks ◽  
Limit Theorems ◽  
Random Walks On Groups ◽  
Ratio Limit Theorems ◽  
Ratio Limit

Ratio Limit Theorems for Random Walks and L�vy Processes

2005 ◽  
Vol 23 (4) ◽  
pp. 357-380
Author(s):  
Minzhi Zhao ◽  
Jiangang Ying
Keyword(s):  
Random Walks ◽  
Limit Theorems ◽  
Ratio Limit Theorems ◽  
Ratio Limit

Ratio Limit Theorems

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 ◽  
Image Position

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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