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

• Main Author: Farebrother, Richard William (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: SpringerBriefs in Statistics,
• Subjects: Statistics.; Matrix theory.; Algebra.; Geometry.; Mathematics.; History.; Mechanics.; Statistical Theory and Methods.; Linear and Multilinear Algebras, Matrix Theory.; History of Mathematical Sciences.

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...

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.  .