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L1-Norm and L∞-Norm Estimation: An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures
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Catalogue Information
Field name
Details
Dewey Class
519.5
Title
L1-Norm and L∞-Norm Estimation (EB) : An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures / by Richard William Farebrother.
Author
Farebrother, Richard William
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer
, 2013.
Physical Details
VI, 58 p. : online resource.
Series
SpringerBriefs in Statistics
2191-544X
ISBN
9783642363009
Summary Note
This monograph is concerned with the fitting of linear relationships in the context of the linear statistical model. As alternatives to the familiar least squared residuals procedure, it investigates the relationships between the least absolute residuals, the minimax absolute residual and the least median of squared residuals procedures. It is intended for graduate students and research workers in statistics with some command of matrix analysis and linear programming techniques.:
Contents note
Introduction -- Point Fitting Problems in One- and Two-dimensions -- The Hyperplane Fitting Problem in Two or More Dimensions -- Linear Programming Computations -- Statistical Theory -- The Least Median of Squared Residuals Procedure -- Mechanical Representations -- References -- Index of Names. Â .
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-642-36300-9
Links to Related Works
Subject References:
Geometry
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History of Mathematical Sciences
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Linear and Multilinear Algebras, Matrix Theory
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Mathematical Statistics
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Matrix theory
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Mechanics
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Statistical Theory and Methods
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Statistics
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Authors:
Farebrother, Richard William
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Corporate Authors:
SpringerLink (Online service)
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Series:
SpringerBriefs in Statistics
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Classification:
519.5
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