Limiting behavior of the maximum of the partial sum for asymptotically negatively associated random variables under residual Cesàro alpha-integrability assumption

2010 ◽  
Vol 140 (9) ◽  
pp. 2395-2402 ◽  
Author(s):  
De Mei Yuan ◽  
Xiu Shan Wu
Keyword(s):  
Random Variables ◽  
Limiting Behavior ◽  
Associated Random Variables ◽  
Negatively Associated ◽  
Partial Sum ◽  
Negatively Associated Random Variables

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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