A Berry–Esseen Theorem and a Law of the Iterated Logarithm for Asymptotically Negatively Associated Sequences

2006 ◽  
Vol 23 (1) ◽  
pp. 127-136 ◽  
Author(s):  
Jian Feng Wang ◽  
Li Xin Zhang
Keyword(s):  
Negatively Associated ◽  
Iterated Logarithm ◽  
Associated Sequences

Moment inequalities and weak convergence for negatively associated sequences

1997 ◽  
Vol 40 (2) ◽  
pp. 172-182 ◽  
Author(s):  
Chun Su ◽  
Lincheng Zhao ◽  
Yuebao Wang
Keyword(s):  
Weak Convergence ◽  
Moment Inequalities ◽  
Negatively Associated ◽  
Associated Sequences

Limsup theorems and a uniform LIL for asymptotically negatively associated random sequences

2012 ◽  
Vol 49 (2) ◽  
pp. 223-235
Author(s):  
Yong-Kab Choi ◽  
Kyo-Shin Hwang
Keyword(s):  
Random Variables ◽  
Partial Sums ◽  
Random Sequences ◽  
Negatively Associated ◽  
Iterated Logarithm ◽  
Uniform Law

In this paper we establish some limsup theorems and a generalized uniform law of the iterated logarithm (LIL) for the increments of the partial sums of a strictly stationary and asymptotically negatively associated (ANA) sequence of random variables.

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