Nonlinear Lp-Norm Estimation  book cover
1st Edition

Nonlinear Lp-Norm Estimation

ISBN 9780367451165
Published December 18, 2020 by CRC Press
320 Pages

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Book Description

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.

Table of Contents

1. Lp-Norm Estimation in Linear Regression 2. The Nonlinear L1-Norm Estimation Problem 3. The Nonlinear L∞-Norm Estimation Problem 4. The Nonlinear Lp-Norm Estimation Problem 5. Statistical Aspects of Lp-Norm Estimators 6. Application of Lp-Norm Estimation

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Gonin, Rene