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18.465主题统计:非参数和鲁棒性

18.465 Topics in Statistics: Nonparametrics and Robustness
课程网址: http://ocw.mit.edu/courses/mathematics/18-465-topics-in-statistic...  
主讲教师: Prof. Richard Dudley
开课单位: 麻省理工学院
开课时间: 2005-01-01
课程语种: 英语
中文简介:
这门研究生水平的课程侧重于主要从1945年左右发展起来的一维非参数统计,并涉及顺序统计和等级,允许非常一般的分布。对于多维非参数统计,早期的方法是选择一个固定的坐标系,并在每个坐标中使用顺序统计和等级。在本课程中要遵循的一个更现代的方法是寻找旋转或仿射不变的过程。这些可以基于经验过程,如计算机学习理论。鲁棒性主要从1964年左右发展而来,它提供了能够抵抗数据中的错误或异常值的方法,这些数据可以是任意大的。非参数方法往往是稳健的。
课程简介: This graduate-level course focuses on one-dimensional nonparametric statistics developed mainly from around 1945 and deals with order statistics and ranks, allowing very general distributions. For multidimensional nonparametric statistics, an early approach was to choose a fixed coordinate system and work with order statistics and ranks in each coordinate. A more modern method, to be followed in this course, is to look for rotationally or affine invariant procedures. These can be based on empirical processes as in computer learning theory. Robustness, which developed mainly from around 1964, provides methods that are resistant to errors or outliers in the data, which can be arbitrarily large. Nonparametric methods tend to be robust.
关 键 词: 秩检验; 多变量鲁棒性; 非参数分类
课程来源: 麻省理工学院公开课
最后编审: 2024-06-13:chenjy
阅读次数: 25