L1-Norm and L∞-Norm Estimation : An Introduction to the Least Absolute Residuals, the Minimax Absolute Residual and Related Fitting Procedures / by Richard Farebrother.

Format:

Book

Author/Creator:

Farebrother, R. W., 1946-

Series:

SpringerBriefs in Statistics, 2191-5458

Language:

English

Subjects (All):

Statistics.

Algebras, Linear.

Geometry.

Mathematics.

History.

Mechanics.

Statistical Theory and Methods.

Linear Algebra.

History of Mathematical Sciences.

Classical Mechanics.

Local Subjects:

Statistical Theory and Methods.

Linear Algebra.

Geometry.

History of Mathematical Sciences.

Classical Mechanics.

Physical Description:

1 online resource (58 p.)

Edition:

1st ed. 2013.

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.

Language Note:

English

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 some command of matrix analysis and linear programming techniques.

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

References

Index of Names. .

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

3-642-36300-8