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Robust Multivariate Analysis

Autor David J. Olive
en Limba Engleză Paperback – 23 mai 2018
This text presents methods that are robust to the assumption of a multivariate normal distribution or methods that are robust to certain types of outliers. Instead of using exact theory based on the multivariate normal distribution, the simpler and more applicable large sample theory is given.  The text develops among the first practical robust regression and robust multivariate location and dispersion estimators backed by theory.  

The robust techniques  are illustrated for methods such as principal component analysis, canonical correlation analysis, and factor analysis.  A simple way to bootstrap confidence regions is also provided.

Much of the research on robust multivariate analysis in this book is being published for the first time.  The text is suitable for a first course in Multivariate Statistical Analysis or a first course in Robust Statistics.  This graduate text is also useful for people who are familiar with the traditional multivariate topics, but want to know more about handling data sets with outliers. Many R programs and R data sets are available on the author’s website. 
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Specificații

ISBN-13: 9783319885711
ISBN-10: 3319885715
Pagini: 501
Ilustrații: XVI, 501 p. 76 illus., 6 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 1 kg
Ediția:Softcover reprint of the original 1st ed. 2017
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

Introduction.- Multivariate Distributions.- Elliptically Contoured Distributions.- MLD Estimators.- DD Plots and Prediction Regions.- Principal Component Analysis.- Canonical Correlation Analysis.- Discrimination Analysis.- Hotelling's T^2 Test.- MANOVA.- Factor Analysis.- Multivariate Linear Regression.- Clustering.- Other Techniques.- Stuff for Students.

Recenzii

“This monograph provides a comprehensive introduction to the mathematical theory of framelets and discrete framelet transforms. … This monograph is well-written for a broad readership and very convenient as a textbook for graduate students and as an advanced reference guide for researchers in applied mathematics, physics, and engineering. Doubtless, this work will stimulate further research on framelets.” (Manfred Tasche, zbMATH 1387.42001, 2018)

Notă biografică

David Olive is a Professor at Southern Illinois University, Carbondale, IL, USA.  His research interests include the development of computationally practical robust multivariate location and dispersion estimators, robust multiple linear regression estimators, and resistant dimension reduction estimators. 

Textul de pe ultima copertă

This text presents methods that are robust to the assumption of a multivariate normal distribution or methods that are robust to certain types of outliers. Instead of using exact theory based on the multivariate normal distribution, the simpler and more applicable large sample theory is given.  The text develops among the first practical robust regression and robust multivariate location and dispersion estimators backed by theory.  

The robust techniques  are illustrated for methods such as principal component analysis, canonical correlation analysis, and factor analysis.  A simple way to bootstrap confidence regions is also provided.

Much of the research on robust multivariate analysis in this book is being published for the first time. The text is suitable for a first course in Multivariate Statistical Analysis or a first course in Robust Statistics. This graduate text is also useful for people who are familiar with the traditional multivariatetopics, but want to know more about handling data sets with outliers. Many R programs and R data sets are available on the author’s website.  

Caracteristici

Includes dozens of R functions for making plots and estimators Problems included at the end of every chapter Code available for download on the author's website Includes supplementary material: sn.pub/extras