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Therefore,in order to simplify the proving process of these inequalities.Though reading a lot of relevant resource,we begin with the basic concept of math,and use an ingenious way――probabilistic method, which means that according to the main features of inequality theory,combining the basic concepts and formulas of probability,through creating one suitable probability model,giving some concrete meanings of random events or random variables,proving through probability theory,we discuss the Cauchy inequality,Class inequality,Jensen inequality,and several common inequality's proofs.

因此,为了简化这些不等式的证明过程,通过阅读大量的相关资料,本文从数学的基本概念入手,运用了1种巧妙的方法——概率方法,即根据不等式的主要特征,结合概率论的1些基本概念和公式,通过建立1个适当的概率模型,赋以1些随机事件或随机变量的具体含义,再利用概率论的理论加以证明,讨论了柯西不等式,级数不等式,詹森不等式和几个1般不等式的证明。

The paper consists of three parts. First, we give the calculation for every order central moment for the Logistic population, mean vector and covariance matrix of the order statistic of random sample from the Logistic population, and means of several special functions for the order statistic of random sample from the Logistic population. Secondly, we discuss the parameter estimation for the Logistic population. Finally, we solve the question about the goodness-of -fit test for the Logistic population.

研究的主要内容分三部分:第一部分是关于Logistic总体各阶中心矩、样本次序统计量期望向量与协方差阵及若干个特殊的样本次序统计量函数期望的计算问题;第二部分是关于Logistic总体分布参数的估计问题;第三部分是关于Logistic总体的拟合优度检验问题。

Longitudinal and correlated data are commonly modeled with generalized linear mixed models which contain both fixed and random effects. The source of the random effect may come from the genetic heredity, familial aggregation, or environmental heterogeneity. The inference of its variance component is usually difficult due to the dimension of its covariance matrix and the complexity of the likelihood function.

在生物医学统计中常接触到具有相关性的资料,这些相关性可能是基因、环境、重复测量或是时间所造成的;在这一类型的研究中,我们通常不只对治疗的效用有兴趣,观测值的变异以及观测值之间的相关性亦可能是我们所关注的量,这些变异或相关形式都可以被称为变异数成份。

The result shows that the probability arithmetic of the random crack core evolvement without considering some simultaneous fiber breaks brings marked errors , and computational precisions of the random crack core evolvement probability and composite st rength could be enhanced with considering some fiber breaks at the same time.

计算表明:忽略多根纤维同时断裂的算法会使随机裂纹核扩展概率计算结果产生较大的误差,而考虑多根纤维同时断裂的算法可以提高裂纹扩展概率的计算精度,从而有利于提高复合材料强度的预测精度。

The back propagation artificial neural net is applied in random response analysis of structure. Thus, the process of finite element computing repeat several times and train BP net between the random input variables and the corresponding response parameters.

采用BP人工神经网络这一映射迅速的运算方法,通过计算少量样本对应的有限元结果,进行训练,将训练好的网络用于结构的随机响应分析。

Though studying some concepts and formulas in theory of probability,we give the definition of conditional independent between two random events and the formula probability in complete events set,and a simplified formula for density s function in n random variables is given.

通过对概率论中有关公式的研究,给出了条件独立的定义、推广了全概率公式和贝叶斯公式,并给出了n维随机变量函数的密度函数的简化计算公式。

Firstly, the random scene of fire was assumed. And then according to the probability distributions of the random parameters of fire in the building, a large number of samples were obtained using mixed congruence method and inverse function method of Monte-Carlo. Finally, the performance of the samples was simulated using Ozone, and the failure probability of the structure in fire was analyzed.

该模型首先确定火灾随机场景,根据建筑物内火灾随机参数的概率分布,利用蒙特卡洛的混合同余法和反函数法产生火灾随机场景的抽样样本,然后利用OZone软件进行火灾下抽样样本的性能模拟,通过大量样本的模拟实现了结构在火灾下的失效概率分析。

Mixed Discrete Random Programming is one kind of random arithmetic,this arithmetic's superiority is easy and quick, but it is easy to constringe partially.

离散变量随机搜索法属于随机试验法,算法具有简单、搜索速度快的优点,但容易造成局部收敛。

If mark the probability density function of continuous random variable X and continuous random variable leave each other, then when,there is , there is inverse function of .

Theorem 如果将连续型随机变量和连续型随机变量的概率密度函数分别记为,则时有:,这里是的反函数。

Chaos is a dynamic and species-random and nonlinear system, and it has sensitive initial conditions, continuous power spectrum and traversal, so it is often used to generate pseudo-random sequence.

由于混沌是一种动态的、类随机的非线性系统,且具有对初始条件敏感、连续的功率谱、各态遍历等特性,因此可产生伪随机序列。

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推荐网络例句

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。

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