极限定理

Finally, we discuss the limit theory of risk model.

最后，我们介绍了风险理论中的极限定理。

Chapter 1 is mainly about the discrete risk model and its limit theory.

第一章，主要介绍了风险模型和风险理论中的极限定理。

In the proof,the tools of the conditional moment generating function and the differentiation on a net for the study on strong limit theorems in the random selection system are applied.

在证明中采用了一种把网微分法与条件矩母函数相结合应用于随机选择系统强极限定理研究的一种途径。

Probability space and its properties, random variables and distributions, expected value, moment generating function, characteristic function, limiting theory.

课程内容：机率空间及其性质，随机变数与分布，期望值，动差生成函数及特徵函数，极限定理等。

A strong limit theorem on gambling strategy for Bernoulli sequences is extended to the sequences of arbitrary dependent random variables which take numberable values by using the conditional moment generating function .

利用条件矩母函数将关于Bernoulli序列赌博策略的一个强极限定理推广到取可列值的任意相依随机变量序列的情况，并且通过允许选择函数在一个区间中取值，推广了随机选择的概念。

Since the concept of NA have a lot of applications in multivariate statistical analysis, reliability theory and percolation theory, various aspects of NA are significant and have been investigated by a host of scholars Fist, we give some Fuk-Nagaev type probability inequalities, moment inequalities of maximal partial sum for sequence of NA random variables, and some strong law of large numbers and complete convergence for sequence of NA random variables are obtained.

在本论文中我们对不要求强平稳或同分布的NA随机变量列进行了多方面的研究：首先对NA列建立了一组具有NA特点的关于最大部分和的Fuk-Nagaev型概率不等式及其关于某一类特定函数的矩不等式，它们在后续给出的极限定理的证明中发挥着重要作用；研究了具有不同分布的NA列的强收敛性，如对NA列建立了更一般条件下的Wittmann型强大数律及完全收敛性，同时也进一步改进了R。

The notion of sample relative entropy , as a random measure of the deviation of a sequence of nonnegative continuous random sequence from independent random sequence with exponential distribution, is introduced.

利用样本相对熵作为一般非负连续型随机变量序列相对于服从指数分布的独立但不同分布随机变量序列偏差的一种随机性度量，运用鞅理论及分析方法，研究了一类随机变量序列加权和的用不等式表示的极限定理，即强偏差定

One of the most popular is the notion of mixing,there exists a wide literature on limit theorems and statistics under various classical mixing conditions such as strong mixing condition,absolute regularity, orφ-mixing.

在不同的经典混合条件如强混合条件(α-混合，绝对正则的或φ-混合下关于极限定理和统计量的研究存在着大量的文献。

Thirdly, we study the α-invariant Radon measures for random walks and Levy processes and give some nice ratio limit theorems that is relative to the α-invariant Radon measures.

同时我们研究了随机游动和Levy过程的α-过分函数和α-过分测度，并给出过程沿着矩母函数的次微分方向趋于α-不变Radon测度的一些比例极限定理。

According to the central limit theorem,the writer analyses the using case of air splicer,and clarifies the using distribution of air splicer,obtains the statistic on air consumption of air splicer.

运用中心极限定理对空气捻接器的使用情况进行分析，明确了空气捻接器的使用分布情况，得出了空气捻接器耗气量的统计数据。

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。