Two-sample data with an outlier from Problem set 1, problems 4-5. (Image courtesy of OCW.)
Instructor(s)
Prof. Richard Dudley
MIT Course Number
18.465
As Taught In
Spring 2005
Level
Graduate
Course Description
Course Features
Course Description
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.