This article gives some almost sure convergence properties for the partial sums of random variable sequence by using the strong law of large numbers,which were obtained by Hu.
本文利用胡舒合等获得的强大数定律,给出了随机变量序列部分和的一些几乎必然收敛性,并给出了结果在PA、NA和两两NQD序列场合下的应用。
Definitions of convergence in probability,convergence in distribution and almost sure convergence of sequences of random variables are given.
给出了随机变量列的依概率收敛、依分布收敛、几乎必然收敛的定义,举例说明了其应用,并研究了三种收敛性之间的相互关系。
In this paper,we mainly study almost sure convergence for the sums of random sequence under rth moment function of superadditive properties and convergence rate,and prove three important theorems.
通过研究上可加的r阶矩结构的随机序列和的几乎必然收敛性、收敛速度,给出了2个重要定理的证明,得出的随机序列和的收敛速度在数量级上已达到最优,并给出了定理的相关应用。
Based on the matrices, almost sure strong stability with respect to partial variables in It stochastic linear system was studied.
运用随机线性系统的柯西矩阵及其截断矩阵 ,通过引进随机线性系统左截柯西矩阵和右截柯西矩阵 ,讨论了线性It^o随机系统部分变元的几乎必然强稳定性 ,得出了该系统只依赖于左截柯西矩阵的有界性和右截柯西矩阵的渐近性的各种a 。
This paper mainly study the almost sure limit for the maxima of the Gaussian sequence {X_n}.
本文研究了高斯序列{Xn}最大值的几乎必然极限。
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
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
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
The case for sure will go to the US Supreme Court.
它几乎必然会被上诉美国最高法院。
Her smile suddenly wavered and disappeared.
她的笑容突然收敛了。
"The trend toward monopoly' owing to the dependence of the modern newspaper on advertising and the high cost of keeping pace with technical development, seems irreversible."
由于当代报纸依赖广告收入，以及技术发展带来的巨大成本，使报纸的垄断倾向几乎是必然的。
Since the lines of force converge and diverge, there is necessarily a Component Br.
由于磁力线的收敛和发散，就必然存在一个分量Br。
Since the lines of magnetic force converge and diverge, there is a necessary component Br.
由子磁力线的收敛和发散，就必然存在一个分量Br。
The Relationship between Complete Convergence and Some Convergence of Measurable Function;
完全收敛性与可测函数序列几种收敛性的关系
When a newspaper dies an almost standard ritual occurs.
一家报纸倒闭时，一种几乎例行的仪式必然出现。
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
The finite-difference computation must be convergent and stable.
有限差分计算必须收敛和稳定。
The Summary of the Application of "Monotonous Boundary Numbered Lines Necessarily Converge";
“单调有界数列必收敛”的应用综述
The Necessary Convergence Condition of integral from a to (+∞) f(x)dx;
再论integral from a to (+∞)f(x)dx收敛的必要条件
Stability and Convergence of Several Classes of Stochastic Numerical Methods;
几类随机数值方法的稳定性与收敛性