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1.
Anna Kuczmaszewska 《随机分析与应用》2013,31(6):1083-1095
Abstract This note contains some sufficient conditions for the complete convergence in the strong law of large numbers for arrays of rowwise negatively dependent random variables. Moreover, the rowwise sums are randomly indexed. 相似文献
2.
行为NA的随机变量阵列的完全收敛性 总被引:2,自引:0,他引:2
根据 NA序列的一个矩不等式 ,研究了行为 NA的随机变量阵列的完全收敛性和依概率收敛性 ,所得结果 ,推广了行独立随机变量阵列相应的结果 相似文献
3.
ZHENG Lu-lu XU Chen HUANG Xu-feng WANG Xue-jun 《数学季刊》2014,(4):592-601
A general result on the strong convergence rate and complete convergence for arrays of rowwise extended negatively dependent random variables is established. As applications, some well-known results on negatively dependent random variables can be easily extended to the case of arrays of rowwise extended negatively dependent random variables. 相似文献
4.
本文研究了B值行独立的随机元阵列的矩完全收敛性.利用B值行独立的随机元阵列的概率不等式,在随机元阵列随机有界于某非负随机变量的条件下,获得了B值行独立的随机元阵列的矩完全收敛性的一些充分条件,并完善了Chow关于实值独立同分布随机变量列的矩完全收敛性的结果. 相似文献
5.
Complete Convergence of Weighted Sums for Arrays of Rowwise $m$-Negatively Associated Random Variables
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In this paper, we discuss the complete convergence of weighted sums for
arrays of rowwise $m$-negatively associated random variables. By applying moment
inequality and truncation methods, the sufficient conditions of complete convergence
of weighted sums for arrays of rowwise $m$-negatively associated random variables are
established. These results generalize and complement some known conclusions. 相似文献
6.
Let be an array of rowwise
asymptotically almost negative associated (AANA, in short) random variables. The
complete convergence for weighted sums of arrays of rowwise AANA random variables
is established under some general moment conditions. The result obtained in the
paper generalizes and improves the corresponding one for negatively associated
random variables. 相似文献
7.
行为NA的随机变量阵列加权和的完全收敛性(Ⅱ) 总被引:4,自引:0,他引:4
本文研究了行为NA的随机变量阵列加权和的完全收敛性,推广了行独立随机变量阵列相应的结果.且得到了任意随机变量阵列加权和完全收敛的一个定理. 相似文献
8.
9.
In this paper, we present a general method to prove the complete conver- gence for arrays of rowwise strong mixing random variables, and give some results on complete convergence under some suitable conditions. Some Marcinkiewicz-Zygmund type strong laws of large numbers are also obtained. 相似文献
10.
在随机元阵列随机有界于某非负随机变量的条件下,得到了B值行独立的随机元阵列的矩完全收敛性的一些充分条件.同时研究了p型Banach空间中行独立的随机元阵列的矩完全收敛性. 相似文献
11.
Convergence properties for arrays of rowwise φ-mixing random variables are studied. As an application, the Chung-type strong law of large numbers for arrays of rowwise φ-mixing random variables is obtained. Our results extend the corresponding ones for independent random variables to the case of φ-mixing random variables. 相似文献
12.
In this paper, we discuss the complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables. By applying moment inequality and truncation methods, the sufficient conditions of complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables are established. These results generalize and complement some known conclusions. 相似文献
13.
本文研究了行m-NA随机阵列的完全收敛性.利用文[8]中结果获得了m-NA列最大部分和的一个概率不等式,并根据该不等式和截尾的方法,探讨了行m-NA随机阵列的完全收敛性,获得了与行NA随机阵列情形类似的结果,简化了文[5]中定理1的证明. 相似文献
14.
CHEN Zhi-yong LIU Ting-ting WANG Xue-jun LI Xiao-qin 《数学季刊》2014,(4):475-485
In this article, the strong laws of large numbers for array of rowwise asymptotically almost negatively associated(AANA) random variables are studied. Some sufficient conditions for strong laws of large numbers for array of rowwise AANA random variables are presented without assumption of identical distribution. Our results extend the corresponding ones for independent random variables to case of AANA random wriables. 相似文献
15.
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. 相似文献
16.
We study the limiting behavior of maximal partial sums for arrays of rowwise ?? *-mixing random variables and obtain some new results that improve the corresponding theorem of Zhu [M.H. Zhu, Strong laws of large numbers for arrays of rowwise ?? *-mixing random variables, Discrete Dyn. Nat. Soc., 2007, Article ID 74296, 6 pp., 2007]. 相似文献
17.
A Note on Complete Convergence for Arrays of Rowwise Independent Banach Space Valued Random Elements
We obtain complete convergence results for arrays of rowwise independent Banach space valued random elements. Compared with similar results presented in the probabilistic literature our conditions are weaker. 相似文献
18.
In the paper, the complete convergence for arrays of rowwise Q-mixing random variables is studied. Some sufficient conditions for complete convergence for an array of row wise Q-mixing random variables without assumptions of identical distribution and stochastic domination are presented. 相似文献
19.
Complete convergence for arrays 总被引:4,自引:0,他引:4
A. Gut 《Periodica Mathematica Hungarica》1992,25(1):51-75
Let {(X
nk
, 1≤k≤n),n≥1}, be an array of rowwise independent random variables. We extend and generalize some recent results due to Hu, Móricz and
Taylor concerning complete convergence, in the sense of Hsu and Robbins, of the sequence of rowwise arithmetic means. 相似文献
20.
在满足H可积的条件下,利用随机变量的截尾方法,以及相关引理,给出了行内两两NQD序列以及p混合条件的随机组列部分和的完全收敛定理以及强大数定理. 相似文献