L1-Norm and L8-Norm Estimation

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Beschreibung

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.



Autorentext
Dr. Richard William Farebrother was a member of the teaching staff of the Victoria University of Manchester 1970-1993 and an Honorary Reader in Econometrics 1993-2001. He has published three books: Linear Least Squares Computations (1988), Fitting Linear Relationships (1999), and Visualizing Statistical Models and Concepts (2002). He has also published more than 150 research papers.

Inhalt
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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Produktinformationen

Titel
L1-Norm and L8-Norm Estimation
Untertitel
An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures
Autor
EAN
9783642363009
ISBN
978-3-642-36300-9
Format
E-Book (pdf)
Hersteller
Springer Berlin Heidelberg
Herausgeber
Springer
Genre
Grundlagen
Veröffentlichung
03.04.2013
Digitaler Kopierschutz
Wasserzeichen
Dateigrösse
1.08 MB
Anzahl Seiten
58
Jahr
2013
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