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1)  almost everywhere equal
几乎处处相等
1.
The proof of the approximate features of the function which is almost everywhere equal to a continuous function in the closed interval is discussed.
证明了定义在闭区间上且与连续函数几乎处处相等的函数具有类似的逼近性质,并给出了weierstrass逼近定理的一个推广应用。
2)  almost everywhere
几乎处处
1.
This paper discusses the difference of the two of definitions of distribution func-tion, and the result is that the tow functions are equal almost everywhere.
其结论是:在不同方式的定义下,同一随机变量的分布函数几乎处处相等
3)  equi-a.e.bounded set
等度几乎处处有界集
4)  μ-almost everywhere,mu-almost everywhere
μ几乎处处
5)  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。
6)  a.s. convergence
几乎处处收敛
1.
This paper gaves its equivalent propositions and proves that a.
由随机变量序列几乎处处收敛可推出其依概率收敛,进而可推出其依分布收敛,可见判别几乎处处收敛的重要性。
2.
Let B be a separable Banach space, in this thesis, Construct an a.
设B是可分Banach空间,利用截尾方法构造几乎处处收敛的鞅,将鞅方法与分析方法相结合, 研究了B值适应可积随机元序列的局部收敛性及其强大数定理。
3.
We proved the existence of the optimal control in the sense of the long run average of the output tracking errors and a.
在给定条件下,证明了最优控制序列存在,给出了基于扩展截断Kieferwolfowitz(KW)算法的迭代学习控制,证明了迭代序列几乎处处收敛,并使跟踪误差的平方均值最小。
补充资料:几乎处处


几乎处处
almost - everywhere

IL乎处处[目m份t一eve口where:n啊“~江y],对几乎所有的x(关于测度料) 一种术语,表示某测度空间X上所有的点,可能除去一个测度为O的集A:拼(A)=O以外.
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