An Introduction to Copulas

• Κύριος συγγραφέας: Nelsen, Roger B. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2006.
• Έκδοση: Second Edition.
• Σειρά: Springer Series in Statistics,
• Θέματα: Mathematics.; Computer simulation.; Economics, Mathematical.; Probabilities.; Statistics.; Probability Theory and Stochastic Processes.; Statistical Theory and Methods.; Statistics for Business/Economics/Mathematical Finance/Insurance.; Quantitative Finance.; Simulation and Modeling.

 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. 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 and Proofs Without Words II: More Exercises in Visual Thinking, published by the Mathematical Association of America. 

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