多元分布

Copulas are functions that joint multivariate distribution functions to their one–dimensional marginal distribution functions.

Copula用来描述多元随机变量的一维边缘分布与其联合分布之间的函数关系。

The main contents and results are as follows:Firstly, the basic theories of univariate stable distribution and multivariate stabledistributions are introduced.

主要研究内容如下：首先，介绍了一元稳定分布以及多元稳定分布基本理论。

Of course, it is often effective to apply conventional multivariate statistical process control to the process whose process variables are subjected to multivariate normal distribution.

在此领域虽已获得了大量成果，但研究基本上是在过程检测数据服从多元正态分布和独立同分布的两个假设下进行的。

In the case of 〓unknown,this dissertation derived the exact distribution of related statistics,and thenproposed the multivariate covariance control charts:the A chart and the 〓 chart based onthe sample generalized variance and the maximum and the minimum eigenvalues.

当分布参数〓未知时，本文通过推导有关统计量的精确分布，建立了基于样本广义方差和最大、最小特征根的多元协方差控制图—A图和〓图，为实际应用奠定了基础。

The main content of this course includes collecting and sorting statistical data, static data comparison and analysis; descriptive and inference statistics, time series analysis , statistical index, probability and distribution, sampling, parameter estimation, hypothesis testing;simple , multiple regression and correlation analysis .

重要内容有：统计数据的收集和整理、数据的静态比较分析、统计描述与统计推断、时间数列分析、统计指数、概率与概率分布、抽样分布、；参数估计、假设检验、简单回归和相关的统计推断、多元回归和多重相关分析。

This paper addresses the relationship between multispectral satellite information and probed relative humidity in each of standard isobaric surfaces using correlation analysis, least-square fitting and multivariate linear regression separately.

多光谱卫星图像上不同云类的云层高低分布蕴涵着三维湿度场的分布信息，文中用相关分析、最小二乘拟合分析和多元线性回归分析分别讨论了多光谱卫星信息与各标准层相对湿度的关系。

In the third part, we study an application of stereographic projection transformation in statistics, deriving Box-Muller formula (use two independent uniform random number to generate two independent standard normal random number) and spherical symmetric distribution (a product of a positive random variable and a random vector with uniform distribution) in multivariate statistical analysis.

第3章，研究了球极投影变换在统计中的应用，通过球极投影变换获得了利用两个相互独立的均匀随机数生成两个相互独立的标准正态随机数的Box-Muller公式以及多元统计分析中的球对称分布（一个正的随机变量和一个与之相互独立的均匀分布的随机向量的乘积）。

The improved Pareto multi-objective optimization with GA adopts non-dominated ranking, elitist preserve and niche approaches, and proposes individual vector module adaptive function as wash out rule. As an example, two duality functions are used to validate the two algorithms.

通过两个多元函数的最小值优化算例验证，两种方法均获得较为均匀分布的Pareto前沿，并且改进的Pareto遗传多目标优化算法由于采用了小生境技术，使得最优解的分布更加均匀，避免了局部收敛的问题。

In the lower altitude of arid regions of China, with the change of landscape prairie, semi desert to desert, so were the relative distribution patterns of groups of distributional units, where hygrophilous species declined and xerophilous species increased.

基于GIS技术，以面积约为6 470 km2 的766个栅格收集我国干旱地区啮齿动物的二元分布数据，采用多元分析的分层聚类方法，依据欧氏距离平方值，将地理分布单元划分为若干个组。

The effect of topography on precipitation can be extract from the precipitation.Secondly, considering the incontinuity of the precipitation distributing, we use improved the Stepwise Interpolation Approach, SIA, to combine with the multi-variable successive regression equations.

其次，充分考虑到降水分布的不连续性，利用逐步插值方法与多元回归方程结合，不但取得了与事实相符的计算结果，而且显著地提高了年降水量空间分布的计算精度。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐