L1-Norm and L-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.



Single source of information about this important area of research

Wide-ranging discussion of least absolute residuals, minimax residual and least median of squared residuals fitting procedures

Several new results not previously published in book form



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 L-Norm Estimation
Untertitel
An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures
Autor
EAN
9783642362996
ISBN
978-3-642-36299-6
Format
Kartonierter Einband
Herausgeber
Springer, Berlin
Genre
Mathematik
Anzahl Seiten
58
Gewicht
122g
Größe
H5mm x B236mm x T156mm
Jahr
2013
Untertitel
Englisch
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