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Archimedean copulas, exchangeability, and max-stability

Published online by Cambridge University Press:  14 July 2016

Rocco Ballerini*
Affiliation:
University of Florida
*
Postal address: Department of Statistics, University of Florida, Gainesville, FL 32611, USA.

Abstract

An exchangeable sequence of random variables is constructed with all finite-dimensional distribution functions having an Archimedean copula (as defined by Schweizer and Sklar (1983)). Through a monotone transformation of this exchangeable sequence, we obtain and characterize the class of exchangeable sequences possessing the max-stable property as defined by De Haan and Rachev (1989). Several parametric examples are given.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1994 

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References

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