An angular approach for linear data

A. H. Welsh

doi:10.1093/biomet/72.2.441

An angular approach for linear data

A. H. Welsh^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	441-450
Number of pages	10
Journal	Biometrika
Volume	72
Issue number	2
DOIs	https://doi.org/10.1093/biomet/72.2.441
Publication status	Published - Aug 1985
Externally published	Yes

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10.1093/biomet/72.2.441

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title = "An angular approach for linear data",

abstract = "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.",

keywords = "Angular estimation, Empirical characteristic function, Functional least squares, Influence curve, M-estimation, Robustness",

author = "Welsh, \{A. H.\}",

year = "1985",

month = aug,

doi = "10.1093/biomet/72.2.441",

language = "English",

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T1 - An angular approach for linear data

AU - Welsh, A. H.

PY - 1985/8

Y1 - 1985/8

N2 - 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.

AB - 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.

KW - Angular estimation

KW - Empirical characteristic function

KW - Functional least squares

KW - Influence curve

KW - M-estimation

KW - Robustness

UR - https://www.scopus.com/pages/publications/0042720440

U2 - 10.1093/biomet/72.2.441

DO - 10.1093/biomet/72.2.441

M3 - Article

AN - SCOPUS:0042720440

SN - 0006-3444

VL - 72

SP - 441

EP - 450

JO - Biometrika

JF - Biometrika

IS - 2

ER -

An angular approach for linear data

Abstract

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