L1-Norm and L∞-Norm Estimation

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

  • Richard William Farebrother

Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Richard William Farebrother
    Pages 1-3
  3. Richard William Farebrother
    Pages 5-9
  4. Richard William Farebrother
    Pages 11-19
  5. Richard William Farebrother
    Pages 21-29
  6. Richard William Farebrother
    Pages 31-36
  7. Richard William Farebrother
    Pages 37-41
  8. Richard William Farebrother
    Pages 43-56
  9. Back Matter
    Pages 57-58

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.​


history of science linear programming matrix theory mechanical models statistical estimation

Authors and affiliations

  • Richard William Farebrother
    • 1
  1. 1.The University of ManchesterManchesterUnited Kingdom

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-36299-6
  • Online ISBN 978-3-642-36300-9
  • Series Print ISSN 2191-544X
  • Series Online ISSN 2191-5458
  • Buy this book on publisher's site