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Biometrika 1985 72(2):441-450; doi:10.1093/biomet/72.2.441
© 1985 by Biometrika Trust
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An angular approach for linear data

A. H. WELSH

Department of Statistics, University of Chicago Chicago, Illinois 60637, U.S.A.

A procedure for estimating the slope in a linear model which was introduced by Chambers & Heathcote (1981) is reexamined. A careful analysis of the procedure leads to a geometric interpretation in terms of angular random variables. This interpretation motivates a method of estimating the location or intercept, simplifies the evaluation of the robustness of the procedure and provides insight into the relationship between the method and other robust techniques.

Key Words: Angular estimation • Empirical characteristic function • Functional least squares • Influence curve • M-estimation • Robustness


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