SpringerBriefs in Statistics

L1-Norm and L∞-Norm Estimation

An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures

Authors: Farebrother, Richard

  • 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
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eBook $29.95
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  • ISBN 978-3-642-36300-9
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  • Immediate eBook download after purchase
Softcover $39.95
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  • ISBN 978-3-642-36299-6
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About this book

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.​

About the authors

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.

Table of contents (7 chapters)

  • Introduction

    Farebrother, Richard William

    Pages 1-3

  • Point Fitting Problems in One and Two Dimensions

    Farebrother, Richard William

    Pages 5-9

  • The Hyperplane Fitting Problem in Two or More Dimensions

    Farebrother, Richard William

    Pages 11-19

  • Linear Programming Computations

    Farebrother, Richard William

    Pages 21-29

  • Statistical Theory

    Farebrother, Richard William

    Pages 31-36

Buy this book

eBook $29.95
price for USA (gross)
  • ISBN 978-3-642-36300-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA
  • ISBN 978-3-642-36299-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
L1-Norm and L∞-Norm Estimation
Book Subtitle
An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures
Authors
Series Title
SpringerBriefs in Statistics
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
The Author(s)
eBook ISBN
978-3-642-36300-9
DOI
10.1007/978-3-642-36300-9
Softcover ISBN
978-3-642-36299-6
Series ISSN
2191-544X
Edition Number
1
Number of Pages
VI, 58
Topics