Some ratio limit theorems for Markov operators

1972 ◽  
Vol 23 (1) ◽  
pp. 55-66 ◽  
Author(s):  
S. R. Foguel ◽  
M. Lin
Keyword(s):  
Limit Theorems ◽  
Markov Operators ◽  
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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