Nonlinear Lp-Norm Estimation

Nonlinear Lp-Norm Estimation
Author: Rene Gonin
Publisher: Routledge
Total Pages: 320
Release: 2017-10-02
Genre: Mathematics
ISBN: 1351428187

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Complete with valuable FORTRAN programs that help solve nondifferentiable nonlinear LtandLo.-norm estimation problems, this important reference/text extensively delineates ahistory of Lp-norm estimation. It examines the nonlinear Lp-norm estimation problem that isa viable alternative to least squares estimation problems where the underlying errordistribution is nonnormal, i.e., non-Gaussian.Nonlinear LrNorm Estimation addresses both computational and statistical aspects ofLp-norm estimation problems to bridge the gap between these two fields . . . contains 70useful illustrations ... discusses linear Lp-norm as well as nonlinear Lt, Lo., and Lp-normestimation problems . . . provides all appropriate computational algorithms and FORTRANlistings for nonlinear Lt- and Lo.-norm estimation problems . . . guides readers with clear endof-chapter notes on related topics and outstanding research publications . . . contains numericalexamples plus several practical problems .. . and shows how the data can prescribe variousapplications of Lp-norm alternatives.Nonlinear Lp-Norm Estimation is an indispensable reference for statisticians,operations researchers, numerical analysts, applied mathematicians, biometricians, andcomputer scientists, as well as a text for graduate students in statistics or computer science.

L1-Norm and L∞-Norm Estimation

L1-Norm and L∞-Norm Estimation
Author: Richard Farebrother
Publisher: Springer Science & Business Media
Total Pages: 59
Release: 2013-04-03
Genre: Mathematics
ISBN: 3642363008

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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.​

Nonlinear Lp-Norm Estimation

Nonlinear Lp-Norm Estimation
Author: Rene Gonin
Publisher: Routledge
Total Pages: 318
Release: 2017-10-02
Genre: Mathematics
ISBN: 1351428179

Download Nonlinear Lp-Norm Estimation Book in PDF, Epub and Kindle

Complete with valuable FORTRAN programs that help solve nondifferentiable nonlinear LtandLo.-norm estimation problems, this important reference/text extensively delineates ahistory of Lp-norm estimation. It examines the nonlinear Lp-norm estimation problem that isa viable alternative to least squares estimation problems where the underlying errordistribution is nonnormal, i.e., non-Gaussian.Nonlinear LrNorm Estimation addresses both computational and statistical aspects ofLp-norm estimation problems to bridge the gap between these two fields . . . contains 70useful illustrations ... discusses linear Lp-norm as well as nonlinear Lt, Lo., and Lp-normestimation problems . . . provides all appropriate computational algorithms and FORTRANlistings for nonlinear Lt- and Lo.-norm estimation problems . . . guides readers with clear endof-chapter notes on related topics and outstanding research publications . . . contains numericalexamples plus several practical problems .. . and shows how the data can prescribe variousapplications of Lp-norm alternatives.Nonlinear Lp-Norm Estimation is an indispensable reference for statisticians,operations researchers, numerical analysts, applied mathematicians, biometricians, andcomputer scientists, as well as a text for graduate students in statistics or computer science.

Asymptotic Normality of Minimum L1-Norm Estimates in Linear Models

Asymptotic Normality of Minimum L1-Norm Estimates in Linear Models
Author: Z. D. Bai
Publisher:
Total Pages: 36
Release: 1987
Genre:
ISBN:

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This document considers a standard linear regression model with assumed known p-vectors, unknown p-vectors of regression coefficients, and an independent random error sequence each having a median zero. Keywords: Minimization problem; Least squares estimates.

Current Index to Statistics, Applications, Methods and Theory

Current Index to Statistics, Applications, Methods and Theory
Author:
Publisher:
Total Pages: 760
Release: 1990
Genre: Mathematical statistics
ISBN:

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The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.