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Statistics - Statistical Theory and Methods | L1-Norm and L∞-Norm Estimation - An Introduction to the Least Absolute Residuals, the Minimax

L1-Norm and L∞-Norm Estimation

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

Farebrother, Richard

2013, VI, 58 p.

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  • 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

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.​

Content Level » Graduate

Keywords » history of science - linear programming - matrix theory - mechanical models - statistical estimation

Related subjects » Algebra - Classical Continuum Physics - Geometry & Topology - History of Mathematical Sciences - Statistical Theory and Methods

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