Statistical Science

Robust Analysis of Linear Models

Joseph W. McKean

Full-text: Open access

Abstract

This paper presents three lectures on a robust analysis of linear models. One of the main goals of these lectures is to show that this analysis, similar to the traditional least squares-based analysis, offers the user a unified methodology for inference procedures in general linear models. This discussion is facilitated throughout by the simple geometry underlying the analysis. The traditional analysis is based on the least squares fit which minimizes the Euclidean norm, while the robust analysis is based on a fit which minimizes another norm. Several examples involving real data sets are used in the lectures to help motivate the discussion.

Article information

Source
Statist. Sci. Volume 19, Number 4 (2004), 562-570.

Dates
First available in Project Euclid: 18 April 2005

Permanent link to this document
http://projecteuclid.org/euclid.ss/1113832720

Digital Object Identifier
doi:10.1214/088342304000000549

Mathematical Reviews number (MathSciNet)
MR2185577

Citation

McKean, Joseph W. Robust Analysis of Linear Models. Statistical Science 19 (2004), no. 4, 562--570. doi:10.1214/088342304000000549. http://projecteuclid.org/euclid.ss/1113832720.


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References

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