Precise Large Deviations for Sums of Negatively Associated Random Variables with Common Dominatedly Varying Tails

2006 ◽  
Vol 22 (6) ◽  
pp. 1725-1734 ◽  
Author(s):  
Yue Bao Wang ◽  
Kai Yong Wang ◽  
Dong Ya Cheng
Keyword(s):  
Large Deviations ◽  
Random Variables ◽  
Precise Large Deviations ◽  
Associated Random Variables ◽  
Negatively Associated ◽  
Negatively Associated Random Variables ◽  
Dominatedly Varying Tails

Summability methods and negatively associated random variables

2004 ◽  
Vol 41 (A) ◽  
pp. 231-238
Author(s):  
N. H. Bingham ◽  
H. R. Nili Sani
Keyword(s):  
Random Variables ◽  
Associated Random Variables ◽  
Negatively Associated ◽  
Summability Methods ◽  
Negatively Associated Random Variables ◽  
Convergence Of Sequences

The paper studies convergence of sequences of negatively associated random variables under various summability methods. The results extend previously known results for independence and complement known results forϕ-mixing.

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