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Advanced Linear Modeling
Statistical Learning and Dependent Data
Buch von Ronald Christensen
Sprache: Englisch

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Beschreibung
Now in its third edition, this companion volume to Ronald Christensen¿s Plane Answers to Complex Questions uses three fundamental concepts from standard linear model theory¿best linear prediction, projections, and Mahalanobis distance¿ to extend standard linear modeling into the realms of Statistical Learning and Dependent Data.
This new edition features a wealth of new and revised content. In Statistical Learning it delves into nonparametric regression, penalized estimation (regularization), reproducing kernel Hilbert spaces, the kernel trick, and support vector machines. For Dependent Data it uses linear model theory to examine general linear models, linear mixed models, time series, spatial data, (generalized) multivariate linear models, discrimination, and dimension reduction. While numerous references to Plane Answers are made throughout the volume, Advanced Linear Modeling can be used on its own given a solid background in linear models. Accompanying R code for the analyses is available online.
Now in its third edition, this companion volume to Ronald Christensen¿s Plane Answers to Complex Questions uses three fundamental concepts from standard linear model theory¿best linear prediction, projections, and Mahalanobis distance¿ to extend standard linear modeling into the realms of Statistical Learning and Dependent Data.
This new edition features a wealth of new and revised content. In Statistical Learning it delves into nonparametric regression, penalized estimation (regularization), reproducing kernel Hilbert spaces, the kernel trick, and support vector machines. For Dependent Data it uses linear model theory to examine general linear models, linear mixed models, time series, spatial data, (generalized) multivariate linear models, discrimination, and dimension reduction. While numerous references to Plane Answers are made throughout the volume, Advanced Linear Modeling can be used on its own given a solid background in linear models. Accompanying R code for the analyses is available online.
Über den Autor
Ronald Christensen is a Professor of Statistics at the University of New Mexico, Fellow of the American Statistical Association (ASA) and the Institute of Mathematical Statistics, former Chair of the ASA Section on Bayesian Statistical Science and former Editor of The American Statistician. His book publications include Plane Answers to Complex Questions (Springer 2011), Log-Linear Models and Logistic Regression (Springer 1997), Analysis of Variance, Design, and Regression (1996, 2016), and Bayesian Ideas and Data Analysis (2010, with Johnson, Branscum and Hanson).
Zusammenfassung
This book will serve as a reference book for graduate students and researchers in statistics. Written by a leading researcher in the field, it discusses advanced topics in the area of linear models.
Inhaltsverzeichnis
1. Nonparametric Regression.- 2. Penalized Estimation.- 3. Reproducing Kernel Hilbert Spaces.- 4. Covariance Parameter Estimation.- 5. Mixed Models and Variance Components.- 6. Frequency Analysis of Time Series.- 7. Time Domain Analysis.- 8. Linear Models for Spacial Data: Kriging.- 9. Multivariate Linear Models: General. 10. Multivariate Linear Models: Applications.- 11. Generalized Multivariate Linear Models and Longitudinal Data.- 12. Discrimination and Allocation.- 13. Binary Discrimination and Regression.- 14. Principal Components, Classical Multidimensional Scaling, and Factor Analysis.- A Mathematical Background.- B Best Linear Predictors.- C Residual Maximum Likelihood.- Index.- Author Index.
Details
Erscheinungsjahr: 2019
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 632
Reihe: Springer Texts in Statistics
Inhalt: xxiii
608 S.
70 s/w Illustr.
6 farbige Illustr.
608 p. 76 illus.
6 illus. in color.
ISBN-13: 9783030291631
ISBN-10: 3030291634
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Christensen, Ronald
Auflage: 3rd ed. 2019
Hersteller: Springer International Publishing
Springer Texts in Statistics
Maße: 241 x 160 x 40 mm
Von/Mit: Ronald Christensen
Erscheinungsdatum: 20.12.2019
Gewicht: 1,103 kg
preigu-id: 116947077
Über den Autor
Ronald Christensen is a Professor of Statistics at the University of New Mexico, Fellow of the American Statistical Association (ASA) and the Institute of Mathematical Statistics, former Chair of the ASA Section on Bayesian Statistical Science and former Editor of The American Statistician. His book publications include Plane Answers to Complex Questions (Springer 2011), Log-Linear Models and Logistic Regression (Springer 1997), Analysis of Variance, Design, and Regression (1996, 2016), and Bayesian Ideas and Data Analysis (2010, with Johnson, Branscum and Hanson).
Zusammenfassung
This book will serve as a reference book for graduate students and researchers in statistics. Written by a leading researcher in the field, it discusses advanced topics in the area of linear models.
Inhaltsverzeichnis
1. Nonparametric Regression.- 2. Penalized Estimation.- 3. Reproducing Kernel Hilbert Spaces.- 4. Covariance Parameter Estimation.- 5. Mixed Models and Variance Components.- 6. Frequency Analysis of Time Series.- 7. Time Domain Analysis.- 8. Linear Models for Spacial Data: Kriging.- 9. Multivariate Linear Models: General. 10. Multivariate Linear Models: Applications.- 11. Generalized Multivariate Linear Models and Longitudinal Data.- 12. Discrimination and Allocation.- 13. Binary Discrimination and Regression.- 14. Principal Components, Classical Multidimensional Scaling, and Factor Analysis.- A Mathematical Background.- B Best Linear Predictors.- C Residual Maximum Likelihood.- Index.- Author Index.
Details
Erscheinungsjahr: 2019
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 632
Reihe: Springer Texts in Statistics
Inhalt: xxiii
608 S.
70 s/w Illustr.
6 farbige Illustr.
608 p. 76 illus.
6 illus. in color.
ISBN-13: 9783030291631
ISBN-10: 3030291634
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Christensen, Ronald
Auflage: 3rd ed. 2019
Hersteller: Springer International Publishing
Springer Texts in Statistics
Maße: 241 x 160 x 40 mm
Von/Mit: Ronald Christensen
Erscheinungsdatum: 20.12.2019
Gewicht: 1,103 kg
preigu-id: 116947077
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