Analyzing Dependent Data with Vine Copulas

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Sprache: Englisch

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Beschreibung

This textbook provides a step-by-step introduction to the class of vine copulas, their statistical inference and applications. It focuses on statistical estimation and selection methods for vine copulas in data applications. These flexible copula models can successfully accommodate any form of tail dependence and are vital to many applications in finance, insurance, hydrology, marketing, engineering, chemistry, aviation, climatology and health.
The book explains the pair-copula construction principles underlying these statistical models and discusses how to perform model selection and inference. It also derives simulation algorithms and presents real-world examples to illustrate the methodological concepts. The book includes numerous exercises that facilitate and deepen readers' understanding, and demonstrates how the R package VineCopula can be used to explore and build statistical dependence models from scratch. In closing, the book provides insights into recent developments and open research questions in vine copula based modeling.
The book is intended for students as well as statisticians, data analysts and any other quantitatively oriented researchers who are new to the field of vine copulas. Accordingly, it provides the necessary background in multivariate statistics and copula theory for exploratory data tools, so that readers only need a basic grasp of statistics and probability.

Über den Autor

Claudia Czado is an Associate Professor of Applied Mathematical Statistics at the Technical University of Munich, Germany. Her research interests are in the dependence modeling of complex data structures, copula based quantile regression, generalized linear models and computational Bayesian methods, and the applications of these methods. She holds a Ph.D. in Operations Research and Industrial Engineering from Cornell University, USA.

Zusammenfassung

Offers a step-by-step introduction to vine copula based dependence modeling, including model selection and estimation methods for vine copulas

Features easy-to-follow derivations and illustrations to explain the underlying statistical concepts

Includes numerous exercises and real-world examples, and shows how to use the R package VineCopula to explore, build and compare vine based models

Provides an overview of the latest developments in vine copula modeling

Inhaltsverzeichnis

Preface.- Multivariate Distributions and Copulas.- Dependence Measures.- Bivariate Copula Classes, Their Visualization and Estimation.- Pair Copula Decompositions and Constructions.- Regular Vines.- Simulating Regular Vine Copulas and Distributions.- Parameter Estimation in Regular Vine Copulas.- Selection of Regular Vine Copula Models.- Comparing Regular Vine Copula Models.- Case Study: Dependence Among German DAX Stocks.- Recent Developments in Vine Copula Based Modeling.- Indices.

Details

Erscheinungsjahr:	2019
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Lecture Notes in Statistics
Inhalt:	xxix 242 S. 45 s/w Illustr. 25 farbige Illustr. 242 p. 70 illus. 25 illus. in color.
ISBN-13:	9783030137847
ISBN-10:	3030137848
Sprache:	Englisch
Herstellernummer:	978-3-030-13784-7
Einband:	Kartoniert / Broschiert
Autor:	Czado, Claudia
Hersteller:	Springer Springer International Publishing AG Lecture Notes in Statistics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 15 mm
Von/Mit:	Claudia Czado
Erscheinungsdatum:	15.05.2019
Gewicht:	0,417 kg