This paper concerns the minimum sum of absolute errors regression. It is a more robust alternative to the popular least squares regression whenever there are outliers in the values of the response variable, or the errors follow a long tailed distribution, or the loss function is proportional to the
LMSMVE: A program for least median of squares regression and robust distances
β Scribed by Gerard E. Dallal; Peter J. Rousseeuw
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 466 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0010-4809
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β¦ Synopsis
The program LMSMVE performs robust regression analysis by using the method of the least median of squares. It also computes robust distances to locate leverage points. that is. outliers with respect to the set of independent variables. LMSMVE constructs plots of least median of squares residuals against robust distances. Both methods can tolerate up to half the data being outliers before they fail to give results that describe the bulk of the data. A complete system that operates directly on SYSTAT files is available for the IBM PC and compatibles; it includes a utility that converts ASCII files to SYSTATformat.
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