Robust Multivariate Analysis

David J. Olive (Autor)

Buch | Hardcover

XVI, 501 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-68251-8 (ISBN)

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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.

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.

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.

"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)

“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)

Erscheinungsdatum	21.12.2017
Zusatzinfo	XVI, 501 p. 76 illus., 6 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	988 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Bootstrap Confidence Region • Canonical correlation analysis • discriminant analysis • MANOVA • Mathematics • mathematics and statistics • Multivariate regression • Prediction Region • Principal Component Analysis • probability & statistics • Probability & statistics • Probability theory and stochastic processes • Robust Statistics • Statistical Theory and Methods • stochastics
ISBN-10	3-319-68251-2 / 3319682512
ISBN-13	978-3-319-68251-8 / 9783319682518
Zustand	Neuware