Robust Statistics (eBook)

Theory and Methods (with R)

Ricardo A. Maronna, R. Douglas Martin, Victor J. Yohai, Matías Salibián-Barrera (Autoren)

eBook Download: EPUB

2018 | 2. Auflage
John Wiley & Sons (Verlag)
978-1-119-21466-3 (ISBN)

Infos

A new edition of this popular text on robust statistics, thoroughly updated to include new and improved methods and focus on implementation of methodology using the increasingly popular open-source software R. Classical statistics fail to cope well with outliers associated with deviations from standard distributions. Robust statistical methods take into account these deviations when estimating the parameters of parametric models, thus increasing the reliability of fitted models and associated inference. This new, second edition of Robust Statistics: Theory and Methods (with R) presents a broad coverage of the theory of robust statistics that is integrated with computing methods and applications. Updated to include important new research results of the last decade and focus on the use of the popular software package R, it features in-depth coverage of the key methodology, including regression, multivariate analysis, and time series modeling. The book is illustrated throughout by a range of examples and applications that are supported by a companion website featuring data sets and R code that allow the reader to reproduce the examples given in the book. Unlike other books on the market, Robust Statistics: Theory and Methods (with R) offers the most comprehensive, definitive, and up-to-date treatment of the subject. It features chapters on estimating location and scale; measuring robustness; linear regression with fixed and with random predictors; multivariate analysis; generalized linear models; time series; numerical algorithms; and asymptotic theory of M-estimates. Explains both the use and theoretical justification of robust methods Guides readers in selecting and using the most appropriate robust methods for their problems Features computational algorithms for the core methods Robust statistics research results of the last decade included in this 2nd edition include: fast deterministic robust regression, finite-sample robustness, robust regularized regression, robust location and scatter estimation with missing data, robust estimation with independent outliers in variables, and robust mixed linear models. Robust Statistics aims to stimulate the use of robust methods as a powerful tool to increase the reliability and accuracy of statistical modelling and data analysis. It is an ideal resource for researchers, practitioners, and graduate students in statistics, engineering, computer science, and physical and social sciences.

Autor

Ricardo A. Maronna, Consultant Professor, National University of La Plata, Argentina R. Douglas Martin, Departments of Applied Mathematics and Statistics, University of Washington, USA Victor J. Yohai, Department of Mathematics, University of Buenos Aires, and CONICET, Argentina Matías Salibián-Barrera, Department of Statistics, The University of British Columbia, Canada

Inhalt

Preface
Preface to the First Edition
About the Companion Website
1 Introduction
2 Location and Scale
3 Measuring Robustness
4 Linear Regression 1
5 Linear Regression 2
6 Multivariate Analysis
7 Generalized Linear Models
8 Time Series
9 Numerical Algorithms
10 Asymptotic Theory of M-estimators
11 Description of Datasets
References
Index

Produkt-Details

• Erscheint lt. Verlag: 19.10.2018
• Reihe/Serie: Wiley Series in Probability and Statistics
• Reihe/Serie: Wiley Series in Probability and Statistics
• Reihe/Serie: Wiley Series in Probability and Statistics
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: asymptotic theory of M-estimates • Computer Engineering • Computer Science • Electrical & Electronics Engineering • Elektrotechnik u. Elektronik • Engineering • Generalized Linear Models • linear regression 1 • linear regression 2 • measuring robustness • multivariate analysis • Mustererkennung • open-source software R • Pattern Analysis • Probability • Probability & Mathematical Statistics • Regression Analysis • Regressionsanalyse • robust methods for data analysis • robust methods for statistical modelling • robust methods in generalized linear models • robust methods in multivariate analysis • robust methods in R • robust methods in regression • robust methods in time series • Robust Statistics • robust statistics and numerical algorithms • Robust Statistics: Theory and Methods (with R) • R software • R software applications • Statistical Methods • Statistical Theory • Statistics • Statistik • Time Series • Wahrscheinlichkeitsrechnung u. mathematische Statistik
• ISBN-10: 1-119-21466-1 / 1119214661
• ISBN-13: 978-1-119-21466-3 / 9781119214663