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英文论文文章数理统计是数学系各专业的一门重要课程。随着研究随机现象规律性的科学—概率论的发展，应用概率论的结果更深入地分析研究统计资料，通过对某些现象的频率的观察来发现该现象的内在规律性，并作出一定精确程度的判断和预测；将这些研究的某些结果加以归纳整理，逐步形成一定的数学概型，这些组成了数理统计的内容。 数理统计在自然科学、工程技术、管理科学及人文社会科学中得到越来越广泛和深刻的应用，其研究的内容也随着科学技术和经济与社会的不断发展而逐步扩大，但概括地说可以分为两大类：⑴试验的设计和研究，即研究如何更合理更有效地获得观察资料的方法；⑵统计推断，即研究如何利用一定的资料对所关心的问题作出尽可能精确可靠的结论，当然这两部分内容有着密切的联系，在实际应用中更应前后兼顾。但按本专业的总体设计，我们的数理统计课程只讨论统计推断。数理统计以概率论为基础，根据试验或观察得到的数据，来研究随机现象统计规律性的学科。本课程的目的是让学生了解统计推断检验等方法并能够应用这些方法对研究对象的客观规律性作出种种合理的估计和判断。掌握总体参数的点估计和区间估计。掌握假设检验的基本方法与技巧。理解平方差分析及回归分析的原理，并能运用其方法和技巧进行统计推断。 Mathematical Statistics Department of Mathematics are all an essential professional curriculum. With the study of random regular scientific phenomenon - the development of probability theory, applied probability theory the results of more in-depth analysis of statistical data, through the phenomenon of certain frequency of observation to discover the inherent regularity of the situation and must make accurate degree of judgment and prediction; some of these studies will be summarized the results of collation, and gradually form over a certain type of math, these form the contents of mathematical statistics. Mathematical statistics in the natural sciences, engineering, management science and the humanities and social sciences are more and more widespread and profound application of the content of their research with the science and technology and economic and social development and gradually expand, but in a nutshell can be divided into two major categories: ⑴ trial design and research, that is more reasonable to study how to more effectively access to observation data; ⑵ statistical inference, namely, how to make use of certain information on the issues of concern to the extent possible, accurate and reliable conclusions, of course, part of the contents of these two closely linked, in practical applications should take into account before and after. However, according to the professional design, our mathematical statistics courses are offered only to discuss statistical inference. Mathematical statistics to probability theory based on experiment or observation in accordance with the data obtained to study the statistical regularity of random phenomena of subjects. The purpose of this course is to enable students to understand the testing methods such as statistical inference and to be able to apply these methods of research subjects to make a variety of objective law and reasonable estimates and judgments. Grasp the overall parameters of the point estimates and interval estimation. Hypothesis testing to master the basic methods and techniques. Understanding of bad-square analysis and regression analysis of the principle, and can use its methods and techniques for statistical inference.
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