An Introduction to Copulas

2. Auflage 2006. Corr. 2.. printing. Softcover version of original hardcover Auflage 2006
ISBN: 978-1-4419-2109-3
Verlag: Springer

Buch, Englisch, 272 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 441 g

Reihe: Springer Series in Statistics

Copulas are functions that join multivariate distribution functions to their one-dimensional margins. The study of copulas and their role in statistics is a new but vigorously growing field. In this book the student or practitioner of statistics and probability will find discussions of the fundamental properties of copulas and some of their primary applications. The applications include the study of dependence and measures of association, and the construction of families of bivariate distributions.

With 116 examples, 54 figures, and 167 exercises, this book is suitable as a text or for self-study. The only prerequisite is an upper level undergraduate course in probability and mathematical statistics, although some familiarity with nonparametric statistics would be useful. Knowledge of measure-theoretic probability is not required. The revised second edition includes new sections on extreme value copulas, tail dependence, and quasi-copulas.

Zielgruppe

Research

Autoren/Hrsg.

Nelsen, Roger B.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Grafikprogrammierung
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

Definitions and Basic Properties.- Methods of Constructing Copulas.- Archimedean Copulas.- Dependence.- Additional Topics.

Über Autor(innen)

Roger B. Nelsen is Professor of Mathematics at Lewis & Clark College in Portland, Oregon. He is also the author of "Proofs Without Words: Exercises in Visual Thinking," published by the Mathematical Association of America.