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

Por: Farebrother, Richard William [author.]Tipo de material: TextoTextoSeries SpringerBriefs in StatisticsEditor: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Descripción: VI, 58 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642363009Trabajos contenidos: SpringerLink (Online service)Tema(s): Statistics | Matrix theory | Geometry | Mechanics | Mathematical statistics | Statistics | Statistical Theory and Methods | Linear and Multilinear Algebras, Matrix Theory | Geometry | History of Mathematical Sciences | MechanicsFormatos físicos adicionales: Sin títuloClasificación CDD: 519.5 Clasificación LoC:QA276-280Recursos en línea: de clik aquí para ver el libro electrónico
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Springer eBooksResumen: 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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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. .

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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