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L1-norm and L[infinity symbol]-norm estimation : an introduction to the least absolute residuals, the minimax absolute residual and related fitting procedures

Author: R W Farebrother
Publisher: Berlin ; New York : Springer, ©2013.
Series: SpringerBriefs in statistics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R W Farebrother
ISBN: 9783642363009 3642363008 3642362990 9783642362996
OCLC Number: 839442346
Description: 1 online resource (vi, 58 pages)
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.
Series Title: SpringerBriefs in statistics.
Responsibility: Richard William Farebrother.

Abstract:

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.

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