Ratio limit theorems

Author(s):  
Kai Lai Chung
2004 ◽  
Vol 75 (5/6) ◽  
pp. 864-876 ◽  
Author(s):  
M. G. Shur

1980 ◽  
Vol 66 (3) ◽  
pp. 237-245 ◽  
Author(s):  
Ryotaro Sato

1976 ◽  
Vol 28 (2) ◽  
pp. 403-407
Author(s):  
A. G. Mucci

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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