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1)  pseudo-almost uniform convergence
伪几乎一致收敛
2)  Convergence Almost Uniformly
几乎一致收敛
3)  almost uniform convergence
几乎一致收敛
1.
The paper discusses the relations between complete convergence and almost uniform convergence,almost everywhere convergence,convergence in measure of fathomable functional sequence,and presents two common properties and one decision theorem.
讨论了可测函数序列完全收敛与几乎一致收敛、几乎处处收敛、依测度收敛之间的关系,并给出了它的两个常用性质和一个判定定理。
4)  fundamental of convergence pseudo-almost everywhere"
伪几乎处处收敛
5)  "convergence pseudo-almost everywhere"
伪几乎处处收敛基本列
6)  almost sure convergence
几乎处处收敛
1.
This paper presents some almost sure convergence properties and a strong law of large numbers for the partial sum of associated random variable sequences based on the Hajek-Renyi inequality for associated random variables and the Chung-Erdos inequality for event sequences using the Kronecker lemma and the Borel-Cantelli lemma,which generalize and improve the result in related literature.
文章基于相协随机变量序列的Hajek-Renyi不等式和事件序列的Chung-Erdos不等式,利用Krone-cker引理和Borel-Cantelli引理,给出相协随机变量序列部分和的几乎处处收敛性和强大数定律型的结果,推广和改进了吴爱娟论文中定理2和定理3的结果。
2.
In the paper,we prove an almost sure convergence for the maximum of stationary Gaussion vector sequencs under the conditons rn(p)log n(log log n)1+ε=O(1),rn(p,q)log n(log log n)1+ε=O(1),1≤p≠q≤d.
在rn(p)logn(log logn)1+ε=O(1),rn(p,q)logn(log logn)1+ε=O(1),1≤p≠q≤d的条件下,证明了平稳高斯向量序列最大值的几乎处处收敛。
3.
Complete convergence and Marcinkiewicz’s strong law and almost sure convergence for -mixing random sequences with different distributions are discussed.
讨论了不同分布的混合序列的完全收敛性、Marcinkiewicz强大数律及几乎处处收敛性,并获得了不同分布混合序列满足完全收敛性的一个充分性结果。
补充资料:几乎处处收敛


几乎处处收敛
convergence, almost - everywhere

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