随机独立

This paper will mainly discuss the Law of Iterated Logarithm for some kind weighted partial sum. It is an extension of "the Law of Iterated Logarithm of Kolmogorov".

本文主要讨论独立随机变量某种加权和重对数律，它是"Kolmogorov重对数律"的推广。

The Law of Iterated Logarithm for independent r.v. has been deeply discussed in all kinds of paper. We have been familiar with "the Law of Iterated Logarithm of Kolmogorov" and "the Law of Iterated Logarithm of Hartman-Wintner".

各种文献中对独立随机变量序列重对数律已有深入讨论，我们已熟知"Kolmogorov重对数律"及"Hartman-Wintner重对数律"。

Furthermore, as a deduction, it obtains a strong law of large numbers for non-homogeneous Markov chain functions.

这里的结果推广了经典的独立随机变量序列的强大数定律，同时也推广了前人关于非齐次马尔可夫链函数强大数定律的结果。

Specifically, we obtain the limiting distribution of the present value function under the independence assumption among the future-lifetime random variables of the insured.

在各被保人的未来余命随机变量相互独立的情形下，得到了现值函数的极限分布。

Supposeis two-dimension random variable, is unity density function and marginal density function leave each other, then sufficient and necessary condition for independence of and is: for all real values ,there are .

Theorem 3.3 设是二维连续型随机变量，分别是联合密度函数与边缘密度函数，则相互独立的充要条件是：对任意的实数，都有。

We obtain the risk process involved in this model,the statistical properties of the surplus process,and statistical features of the claim numbers and the probability distribution of the total amount of compensation.The three types of business of the risk model is given when the number of claims obey Poisson distribution and negative binomial distribution.We make a comparison between the risk model built in the thesis and the classic risk models with independent claim numbers when the amount of claims obey Weillbull distribution and Exponential distribution.The results have a good practical significance.

其次，考虑不同险种间的相互关系，建立了一种含有主副理赔的风险分析模型；借助随机过程和经典风险理论，对该风险模型所涉及的风险过程、盈余过程的统计特性以及理赔总额的概率分布、数字特征和矩母函数进行解析研究，给出了主理赔次数服从泊松分布和负二项分布的这种风险模型的具体实例，并在理赔额变量服从Weillbul分布和Exponential分布的情况下，把文中所建风险模型和理赔次数相互独立的风险模型作了比较，所得结果有很好的现实意义。

In chapter three, it assumes that each retailer and distribution center implement periodic review and the same ordering policies, each retailers' demand is independent identical distributed random variables during the different periods, the lead-time is not completely same constants, and the k-fold convolution of the demand distribution functions is closed.

第三章，假设每个零售商和分销中心实行周期盘点，并采用相同的订货策略，多个零售商的需求在不同的周期是相互独立的随机变量，两级分销系统内的交货时间是不全相同的常量，零售商需求的分布函数之k重卷积是封闭的。

In the quantitative research, the data to conduct an independent sample t-test; In the qualitative research, Interviews for simple random sampling students of the experimental group.

在量的研究方面，将所得之数据进行独立样本之t检定；在质的研究方面，则於实验组中随机选取学生进行访谈。

Furthermore in a two-correlated-asset world, Target Preference was introduced based on the former stochastic dynamic programming model.

首先，在一个简单的相互独立的两资产世界中，以最大限度实现目标收益刻画企业年金计划受益人的偏好结构，建立了企业年金最优投资战略的随机动态规划模型，并通过大量的Monte Carlo模拟，考察了最优投资战略的特征。

It has three important properties: it has stationary and independent increments, and every increment is a normally distributed stochastic variable.

布朗运动具有三个基本性质：第一是独立增，第二是稳态增，第三是增量是服从正态分布的随机变量。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。