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Applied Mathematics A Journal of Chinese Universities  2017, Vol. 32 Issue (1): 66-78    DOI:
    
Complete moment convergence for arrays of rowwise NA random variables
TANG Xu-fei1, XI Meng-mei1, CHEN Wei-yang2, WU Yi1, WANG Xue-jun1
1. School of Mathematical Sciences, Anhui University, Hefei 230601, China
2. Wendian College, Anhui University, Hefei 230601, China
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Abstract  By using the moment inequality of negatively associated (NA, for short) random variables and the truncation method, the complete moment convergence for arrays of rowwise NA random variables are studied. Several sufficient conditions to prove the complete moment convergence for arrays of rowwise NA random variables are presented. The results obtained in this paper extend the corresponding ones for NA random variables.

Key wordscomplete moment convergence      negatively associated random variables      stochastic domination     
Received: 11 October 2016      Published: 18 March 2018
CLC:  O211.4  
Cite this article:

TANG Xu-fei, XI Meng-mei, CHEN Wei-yang, WU Yi, WANG Xue-jun. Complete moment convergence for arrays of rowwise NA random variables. Applied Mathematics A Journal of Chinese Universities, 2017, 32(1): 66-78.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2017/V32/I1/66


NA随机变量阵列的完全矩收敛性

利用NA随机变量的矩不等式和截尾方法,研究了NA随机变量阵列的完全矩收敛性,给出了证明NA随机变量阵列完全矩收敛性的一些充分条件. 所得结果推广了已有文献关于NA随机变量的相应结果.

关键词: 完全矩收敛性,  NA随机变量,  随机控制 
[1] GUO Ming-le, ZHU Fu-xiu. Complete $q$th moment convergence of weighted sums for arrays of rowwise NSD random variables[J]. Applied Mathematics A Journal of Chinese Universities, 2017, 32(1): 55-65.