多元分布

The main topics are: matrix algebra, multivariate normal distribution, discrimination and classification, principle components, factor analysis, canonical correlation analysis.

本课程的主要内容包括矩阵代数、多元正态分布、判别分析、聚类分析、主成分分析、因子分析、典型相关分析。

PCA is not only used as feature extracting method (where process variables are subjected to multivariate normal distribution), but also as a tool for dimension reduction; BSA is used to extract independent features or process blind source signals from process information in information theory sense, which is more effective than PCA in describing the process.

主元分析方法不仅作为一种过程特征的提取方法（在过程信息服从多元正态分布的情况下），而且也作为一种过程数据降维的主要工具（在过程盲源信号提取的情况下）；盲源信号分析是从信息论的角度，从过程信息中提取出尽可能独立的过程特征信号或过程原始信源信号，它具有比主元分析更好的刻画过程运行特征的性能。

It's regretted that the multi-extremum theory of portfolio selection with different fat tails is still a problem that needs to be resolved.

遗憾的是，具有不同厚尾的股票组合的多元极值分布理论，到目前为止仍然是有待解决的问题。

Content includes probability, statistical distribution, sampling, estimation, hypothesis testing, regression, multiple regression, and random process.

主要内容包括：概率、统计分布、抽样、估计，假设检验、回归、多元回归和随机过程等。

Pteridophyte flora ; vertical distribution ; multiple analysis ; Shiwandashan Mountain ; Guangxi

蕨类植物区系；垂直分布；多元统计分析；十万大山；广西

This is, for China and other multiracial countries, very positive and may give some solutions for the future. In the introduction there is an explanation of the reason why I choose this title and also the questions about Switzerland in the field of present research and the meaning of those researches. The first part describes the formation of the community of Switzerland, and there I define the word "community" and the peculiarity of each member of this community, the time the Swiss people take to build this community. The second part describes this formation with more details like geographical problem, language differences, the psychological pugnacity for liberty, the practical art of neutrality and the freedom for religious behavior. Those themes prove the formation of the Swiss community. The third part contains the following topics: the international position of Switzerland and its stability, the balance of economic production, the foundation of the Swiss government and the charm of its feature. For those topics I use the economic, political and cultural angle.

全文分为瑞士多民族社会的形成，在这一部分中重点介绍了民族和民族共同体的界定，瑞士各民族的地理分布及主要特征，瑞士民族共同体形成的历史时间断限，在这一部分中特别提出了民族共同体的概念，为全文的行文打下一个概念基础；在瑞士民族共同体形成的表现部分中，共分为语言和地域差别问题的消弭，崇尚独立自由的心理素质的确立，中立外交政策的奉行，宗教多元化的制衡等几个小的部分，四个部分平衡并立，共同来论证瑞士民族共同体的表现；在瑞士民族共同体诞生的原因中，共分为以下几个部分，有瑞士特殊的国际地位与多民族社会的稳定，平衡发达的经济及其吸引力，多元政治体制的建构和灿烂文化和性格的魅力，也就是从政治、经济和文化三个角度对这个问题进行了阐述；在现代瑞士多民族社会问题部分中，有如下几个部分瑞士的外来人口在瑞士国家的生活状况，外来人口融合中的困难，以及瑞士民族共同体中其他的一些社会问题，主要探讨的是瑞士社会中的外国人的生活状况，以及在融合和同化的过程中的成功经验以及给整个瑞士社会带来的几个突出的社会问题；最后是对现代瑞士多民族社会问题的思考，也就是从和睦性，认同感以及民族平等政策三个角度中进行的分析。

Considering the fat-tail phenomenon that may exist in practical data, we have also studied the PTLE for the multi-t distribution model based on the three large sample tests above. Performances of the estimators according to the quadratic bias and mean square error are similarly compared in detail.

考虑到实际数据可能存在的厚尾情况，本文研究了文献中讨论颇多的多元t分布模型的基于大样本检验的等式约束预检验Liu估计，并同样在平方偏差和均方误差两个准则下对其优良性进行了详细比较。

This study was conducted in Taiyuan sewage irrigation area from 1997 to 2000.The research process included field investigation, sampling, lab test, model experiment and data analysis by geo-statistics method. The source, affecting factors, content condition, transference regularity, spatial distribution of heavy metal in sewage irrigation area were studied. The results showed that mercury, cadmium and lead contents of soil were higher than soil background value.

本文以在中国北方具有代表性的太原污水灌溉区为研究对象，污灌区位于山西省中部的太原盆地北端，总面积2.7万公顷，在研究区共布土样点49个，粮食作物样33个，水样点26个，大气样点6个，通过实地调查取样监测和室内模拟试验，采用地统计学和多元统计等方法，系统研究了污灌区土壤-作物系统中重金属Hg、Cd、Pb的来源、含量状况、累积影响因素、空间分布特征、迁移转化规律、重金属环境容量的区域分异与应用等内容。

Second, the t distribution is widely used in applied statistics for robust statistical inferences.

第二，多元t分布在稳健统计推断等应用统计方面使用非常广泛。

Second, field survey and statist on the distribution of foot passengers in the space, and compare with the results of the space parsing and use of multiple regression model to calculate of the anastomosis.

其次，实地调查统计空间的人流分布，并与空间句法分析结果进行比较分析，运用多元回归模型计算其吻合度。

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