1.

Record Nr.

UNINA9910437861403321

Autore

Farebrother R. W. <1946->

Titolo

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

Pubbl/distr/stampa

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

ISBN

3-642-36300-8

Edizione

[1st ed. 2013.]

Descrizione fisica

1 online resource (58 p.)

Collana

SpringerBriefs in Statistics, , 2191-5458

Disciplina

519.5

519.5/44

Soggetti

Statistics

Algebras, Linear

Geometry

Mathematics

History

Mechanics

Statistical Theory and Methods

Linear Algebra

History of Mathematical Sciences

Classical Mechanics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.  .

Sommario/riassunto

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.