Robust Regression and Outlier Detection

Устойчивые регрессии и обнаружение выбросов
Peter J. Rousseeuw, Annick M. Leroy, Gregory F. Piepel
1989-05-01

Multiple regressionOutlier detectionOutlier diagnosticsRobust regressionSimple regression
1. Introduction. 2. Simple Regression. 3. Multiple Regression. 4. The Special Case of One-Dimensional Location. 5. Algorithms. 6. Outlier Diagnostics. 7. Related Statistical Techniques. References. Table of Data Sets. Index.
1
A special case analysis is presented for one-dimensional location problems, suggesting tailored robust solutions for that scenario.
2
Algorithms for implementing the robust regression and outlier detection methods are provided, implying practical computational procedures.
3
Connections to related statistical techniques are explored, situating the proposed methods within broader statistical methodology.
4
Outlier diagnostics are discussed, offering tools to identify and assess influential or anomalous observations.
5
The paper addresses robust regression methods and techniques for detecting outliers in regression analysis.
6
The work covers both simple and multiple regression settings, indicating methods applicable to one-dimensional and multivariate cases.

Regression models and data sets used for regression analysis

Robust estimation methods and outlier detection diagnostics for simple and multiple regression (including one-dimensional location), their algorithms and related statistical techniques

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Publication Date
1989-05-01
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Authors
Peter J. Rousseeuw
Annick M. Leroy
Gregory F. Piepel
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