分布矩

Based on the approach of turning some of the relevant extreme-value-type and logarithmic normal distribution variables into independent and normal random variables, the shear-slipping failure probability of a high arch dam is worked out to be of the order of magnitude of 10^(-5) by means of second-order moment method.

在将部分相关的极值型与对数正态分布随机变量转换为独立、正态随机变量的基础上，利用二阶矩法计算得到某高拱坝的剪滑失效概率为10^(-5)量级。

In addition, the data in the archive is often subjected to the same analysis: marginal distribution estimation and analysis, second and higher order moment analysis, statistical fitting, and time- based load estimation.

另外，数据在档案中，是经常遭受同样的分析：边缘分布的估计和分析，第二次和高阶矩分析，统计拟合，并基于时间的负载估计。

Also in the paper,we get the point estimator of unknown parameters by using the maximum likelihood estimator method and simulated moment estimator method based on the censored sample.

给出了其寿命分布函数步进形式，在截尾样本场合利用极大似然估计方法和拟矩估计方法求出了未知参数的点估计，最后利用计算机模拟考察了说明本文方法的可行性。

The major contribution of this thesis is introduce and develop Moment Generating Function Approach to performance analysis of Arbitrary Stochastic Petri Nets In which firing delays of transitions can be either deterministic or arbitrarily distributed random variable with a moment generating function.

在ASPN中，变迁的激活时延即可以是确知的或具有矩母函数的任意分布的随机变量。

Based on the theory of matrix variate distribution, we derive exact closed-form expressions of the moment generating function of mutual information of MIMO channels with interference.

利用矩阵变量分布理论，论文推导出一些典型情况下交互信息的矩生成函数精确封闭表达式，然后利用这些表达式，给出了相应情况下平均信道容量的精确封闭表式。

In modeling heavy tails,we focus on multivariate t distributions and derive the moment generating function of the quadratic approximation.Then we use Fourier transform,Chebychev's Inequality and numerical technique inversion to approximate VaR value of portfolio,compared with Cornish-Fisher Expansions normal model and Delta-Normal model.

在推导出多个外汇期权的投资组合的二次近拟的矩母函数表达式基础上，本文使用傅里叶变换、切比雪夫不等式、数值转换计算求出投资组合的VaR的值，并和基于多元正态分布Cornish-Fisher模型以及基于Delta-正态模型计算所得的VaR值了进行比较。

Owing to the complexity of CIMS' missions,the reliability modeling should adapt the production processes accurately.Conventional reliability model method can not reflect the time dynamic behavior of CIMS,so the multitask reliability model based on generalized stochastic Petri nets is established for a CIMS manufacturing shop with multiple missions and the process times of the machines with exponential distributions.Furthermore,analysis of GSPN model based on behavior expression and moment generating function is presented,then can compute the transfer functions.Finally,the multitask reliability can be easily obtained without the reachability graph of Petri nets,which measure can reflect the operating performance of the whole multitask CIMS more intuitively.

CIMS生产的复杂性要求其可靠性模型可以精确地反映生产过程，由于传统的可靠性建模方法无法兼顾CIMS的时间动态特性，所以针对一个复杂的有多个加工任务的CIMS制造单元，由于其机器加工工件的时间均为指数分布，则采用广义随机Petri网进行多任务可靠性建模，在此基础上基于Petri网行为表达式，将矩母函数思想引入其中，不必生成可达标识图就可通过计算模型的传递函数，进而得到整个系统的多任务可靠度，该可靠性指标可以更直观地反映具有多种加工任务的整个CIMS的运行性能。

So it avoids the distortion of electric cloud distribution in basis sets and can obtain a more precise computational result of the electric dipole moment of a given system.

从而在基函数中避免了电子云分布的歪曲，使得出的体系的电偶极矩更为精确。

The method of moment distribution was developed to solve problems in frame analysis that involve many unknown joint displacements.

分布的矩方法的开发是为了解决框架分析问题，涉及很多未知的联合流离失所。

The first moment of quark transversity distribution defines the tensor charge of nucleon.

夸克的横向性分布的一次矩定义了核子张量荷。

I use an example quoted by Hu Jiaqi:"It is reported that America separates the DNA of a kind of virus by making use of genetic technology and combines it with another kind of DNA. Finally, they get a kind of virulent biological agent called a "pyrotoxin". Someone discloses in private that 20 grams of such a kind of biological agent could result in the global death of 6 billion people due to infection."

我在这里例举胡家奇所引用过的例子："据报道，美国利用转基因技术，将一种病毒的DNA分离出来，与另外一种DNA进行结合，拼结成一种剧毒的"热毒素"生物战剂，且私下有人透露，这种生物战剂只需20克，就可以导致全球60亿人全部感染死亡。"

Waiting, for the queers and the coons and the Reds and the Jews.

等待着疯子和黑人还有红色共产主义者还有犹太人