Title | Extreme value properties of multivariate t copulas |
Publication Type | Journal Article |
Year of Publication | 2009 |
Authors | Nikoloulopoulos, AK, Joe, H, Li, H |
Journal | Extremes |
Volume | 12 |
Pagination | 129-148 |
Date Published | JUN |
Type of Article | Article |
ISSN | 1386-1999 |
Keywords | Extreme value, t Copula, Tail dependence function |
Abstract | The extremal dependence behavior of t copulas is examined and their extreme value limiting copulas, called the t-EV copulas, are derived explicitly using tail dependence functions. As two special cases, the Husler-Reiss and the Marshall-Olkin distributions emerge as limits of the t-EV copula as the degrees of freedom go to infinity and zero respectively. The t copula and its extremal variants attain a wide range in the set of bivariate tail dependence parameters. |
DOI | 10.1007/s10687-008-0072-4 |