Dependence Modeling with Copulas

1st Edition

Harry Joe

Chapman and Hall/CRC
Published June 26, 2014
Reference - 480 Pages - 21 B/W Illustrations
ISBN 9781466583221 - CAT# K18978
Series: Chapman & Hall/CRC Monographs on Statistics and Applied Probability

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Summary

Dependence Modeling with Copulas covers the substantial advances that have taken place in the field during the last 15 years, including vine copula modeling of high-dimensional data. Vine copula models are constructed from a sequence of bivariate copulas. The book develops generalizations of vine copula models, including common and structured factor models that extend from the Gaussian assumption to copulas. It also discusses other multivariate constructions and parametric copula families that have different tail properties and presents extensive material on dependence and tail properties to assist in copula model selection.

The author shows how numerical methods and algorithms for inference and simulation are important in high-dimensional copula applications. He presents the algorithms as pseudocode, illustrating their implementation for high-dimensional copula models. He also incorporates results to determine dependence and tail properties of multivariate distributions for future constructions of copula models.

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