基本解释：几乎处处收敛列
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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。
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。
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。
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。
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。
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。
Proof of Levi Theorem on Almost Everywhere Convergence;几乎处处收敛时Levi定理的证明
Almost Sure Convergence on Density Function密度函数上的几乎处处收敛(英文)
Strong law of large numbers for mixing random sequences混合序列的完全收敛性和部分和的几乎处处收敛性
Monotone Convergence Theorems for the Integration of Function Sequence with Respect to Almost Everywhere Weak Convergence Probability Measure Sequence函数序列关于几乎处处弱收敛概率测度序列积分的单调收敛定理
Convergence Rate of Conditional Moments, Large Quantile Estimation and Almost Sure Central Limit Theorem on Maxima and Minima;条件矩收敛速度，大分位数之区间估计及最大值与最小值的几乎处处中心极限定理
Almost Sure Convergence for Random Sequence under Moment Conditions;矩限制下随机序列的几乎必然收敛性
Some Ultra-convergent Derivative Recovery Schemes for Piecewise Linear Interpolation;分片线性插值的几种强超收敛的导数后处理格式
The Almost Sure Convergence of NA Sequence and (?)-mixing Sequence;一类NA序列、（？）混合序列的几乎必然收敛性
The joining is hardly visible.接合处几乎天衣无缝。
Statistical Convergence of the Random Variables and Using Statistical Convergence to Deal with Data;随机变量的统计收敛性及统计收敛在数据处理方面的应用
Convergence and Convergence Rate of the Partial Sums of Wavelet Expansions at Lebesgue Point小波级数的部分和在勒贝格点处的收敛性与收敛速度
Here and there I saw several attractive young women but carefully avoided giving them more than a glance.人群中随处可见几个年轻美貌的女子，我瞥了她们一眼便小心翼翼地收敛起目光。
Butterflies can be found in nearly all areas of the world.在全世界，几乎处处可以找到蝴蝶。
Almost Sure Central Limit Theorem for the Product of Partial Sums部分和乘积的几乎处处中心极限定理
Almost Sure Central Limit Theroem in Separable Metric Space距离空间上的几乎处处中心极限定理
On Superconvergence Properties and Postprocess of Finite Element Approximation of Non-smooth Solutions in One Dimensional;一维非光滑解有限元逼近的超收敛性及后处理
A Convergence Theorem for the Gauss-Seidel Iterative Method with the Preconditioner (I+S′);预处理子为(I+S′)的Gauss-Seidel迭代法的收敛定理
Convergence of a Batch Method for Gray Neural Network GNNM(1, 1)灰色神经网络GNNM（1，1）批处理算法的收敛性
