Details

Robust Statistics


Robust Statistics

Theory and Methods (with R)
Wiley Series in Probability and Statistics 2. Aufl.

von: Ricardo A. Maronna, R. Douglas Martin, Victor J. Yohai, Matías Salibián-Barrera

80,99 €

Verlag: Wiley
Format: EPUB
Veröffentl.: 19.10.2018
ISBN/EAN: 9781119214663
Sprache: englisch
Anzahl Seiten: 464

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Beschreibungen

<p><b>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.</b></p> <p>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<i> Robust Statistics</i>: <i>Theory and Methods (with R) </i>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.</p> <p>Unlike other books on the market, <i>Robust Statistics</i>: <i>Theory and Methods (with R)</i> 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.</p> <ul> <li>Explains both the use and theoretical justification of robust methods</li> <li>Guides readers in selecting and using the most appropriate robust methods for their problems</li> <li>Features computational algorithms for the core methods</li> </ul> <p>Robust statistics research results of the last decade included in this 2<sup>nd</sup> 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.</p> <p><i>Robust Statistics</i> 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.</p>
<div id="_mcePaste">Preface</div> <div id="_mcePaste">Preface to the First Edition</div> <div id="_mcePaste">About the Companion Website</div> <div id="_mcePaste">1 Introduction</div> <div id="_mcePaste">2 Location and Scale</div> <div id="_mcePaste">3 Measuring Robustness</div> <div id="_mcePaste">4 Linear Regression 1</div> <div id="_mcePaste">5 Linear Regression 2</div> <div id="_mcePaste">6 Multivariate Analysis</div> <div id="_mcePaste">7 Generalized Linear Models</div> <div id="_mcePaste">8 Time Series</div> <div id="_mcePaste">9 Numerical Algorithms</div> <div id="_mcePaste">10 Asymptotic Theory of M-estimators</div> <div id="_mcePaste">11 Description of Datasets</div> <div id="_mcePaste">References</div> <div id="_mcePaste">Index</div> <div> </div>
<p><b>Ricardo A. Maronna,</b> Consultant Professor, National University of La Plata, Argentina <p><b>R. Douglas Martin,</b> Departments of Applied Mathematics and Statistics, University of Washington, USA <p><b>Victor J. Yohai,</b> Department of Mathematics, University of Buenos Aires, and CONICET, Argentina <p><b>Matías Salibián-Barrera,</b> Department of Statistics, The University of British Columbia, Canada
<p><b>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.</b> <p>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<i> Robust Statistics</i>: <i>Theory and Methods (with R)</i> 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. <p>Unlike other books on the market, <i>Robust Statistics</i>: <i>Theory and Methods (with R)</i> 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. <ul> <li>Explains both the use and theoretical justification of robust methods</li> <li>Guides readers in selecting and using the most appropriate robust methods for their problems</li> <li>Features computational algorithms for the core methods</li> </ul> <p>Robust statistics research results from the past decade included in this 2<sup>nd</sup> edition are: 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. <p><i>Robust Statistics</i> 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.

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