Richard Farebrother Farebrother L1-Norm and L∞-Norm Estimation

L1-Norm and L∞-Norm Estimation

von Richard Farebrother

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

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Beschreibung

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.


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.


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 Includes supplementary material: sn.pub/extras

Autor*in

Richard Farebrother

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history of science linear programming matrix theory mechanical models statistical estimation

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Details

ISBN: 9783642363009
Verlag: Springer Berlin
Erscheinung: 03.04.2013

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