L1-Norm and L∞-Norm Estimation An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures

L1-Norm and L∞-Norm Estimation An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures / by Richard Farebrother.

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...

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Bibliographic Details
Main Author: Farebrother, Richard (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:SpringerBriefs in Statistics,
Springer eBook Collection.
Subjects:
Statistics .
Matrix theory.
Algebra.
Geometry.
Mathematics.
History.
Mechanics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.  .

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