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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.
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First Sentence
"The study of copulas and their applications in statistics is a rather modern phenomenon."
Work Description
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.
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- Created December 19, 2008
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August 26, 2024 | Edited by MARC Bot | import existing book |
December 19, 2023 | Edited by ImportBot | import existing book |
April 5, 2023 | Edited by bitnapper | Merge works (MRID: 55350) |
December 29, 2022 | Edited by MARC Bot | import existing book |
December 19, 2008 | Created by ImportBot | Imported from University of Toronto MARC record |