概率论极限定理

The almost sure central limit theorem is a pop topic of the probability research in recent years,because it has many actual applications in the random analogue.

中文摘要：几乎处处中心极限定理是近几十年概率论研究的一个热门话题。它之所以引起人们的注意是由于它在随机模拟方面的实际应用参见Fisher

In this paper,starting with the concept of risk,trying to take the theory of probability,central limit theorem,definition of optimal statistic estimate and economic theory as the basis and according to the concrete situation of the natural gas exploration project,the formula to quantitatively determine the risk is derived.

文章从"风险"的概念入手，尝试以概率论、中心极限定理、最优统计估计量的定义和经济理论为基础，结合天然气勘探项目的具体情况，推导出了定量测定风险的公式。

Probability of following after them, its central research topics are focused on promoting and improving the Bernoulli law of large numbers and central limit theorem.

概率论继他们之后，其中心研究课题则集中在推广和改进伯努利大数定律及中心极限定理。

In order to get a deeper understanding of law of large number and central limit theorem, random variables are simulated using Mathematica in this article.

概率论中的大数定律及中心极限定理正是两个描述随机现象统计规律性的重要结论。

Technical analysis; AR-ARCH model; covariance inequality; Strong law of large numbers; Glivenko-Cantelli Lemma ; empirical distribution function; central limit theorem; dependence coefficients

基础科学，数学，概率论、数理统计技术分析； AR-ARCH模型；协方差不等式；强大数定律； Glivenko-Cantelli引理；经验分布函数；中心极限定理；相依系数

Multivalued maximal monotone operator; Multivalued stochastic differential equation; Explicit solutions; Limit theorem; Denjoy's continuity; Non-Lipschitz coefficient; Large deviations

基础科学，数学，概率论、数理统计多值极大单调算子；多值随机微分方程；显式解；极限定理； Denjoy连续性；非Lipschitz系数；大偏差原理

Stationary NA sequences; empirical measure; large deviations principle; linear processes; functional law of the iterated logarithm; strong approximations; LPQD sequences; m-dependent random element; precise asymptotics; the central limit theorem for the sum of random number

基础科学，数学，概率论、数理统计平稳NA序列；经验测度；大偏差原理；线性过程；泛函型重对数律；强逼近； LPQD序列； m-相依随机元；精确渐近性；随机指标中心极限定理

Large numbers law and center limit theorem in probability theory are simulated randomly by Microsoft Excel software in this artcle,the visualizing of them are easily achieved by computer.

作者采用Microsoft Excel电子表格软件对概率论中的大数定律和中心极限定理进行随机模拟，在计算机上很容易实现了这两个定理的可视化。

Theory of probability main content including classical generally computation, random variable distribution and characteristic numeral and limit theorem and so on.

概率论的主要内容包括古典概型的计算、随机变量的分布及特征数字和极限定理等等。

The famous probabilist Kolmogorov from previous Soviet Union said: Only probability limit theory can reveal the epistemological value of probability.

前苏联著名的概率学家Kolmogorov曾说过："概率论的价值只有通过极限定理才能被揭示，没有极限定理就不可能去理解概率论中的基本概念的真正含义。"

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。