An Introduction to Copulas

the long version

Copulas are functions that join multivariate distribution functions to their one-dimensional margins. 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. With nearly 100 examples and over 150 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.