Bivariate Extreme Value Theory: Models and Estimation
- 1 September 1988
- journal article
- research article
- Published by JSTOR in Biometrika
- Vol. 75 (3) , 397-415
- https://doi.org/10.2307/2336591
Abstract
Bivariate extreme value distributions arise as the limiting distributions of renormalized componentwise maxima. No natural parametric family exists for the dependence between the marginal distributions, but there are considerable restrictions on the dependence structure. We consider modelling the dependence function with parametric models, for which two new models are presented. Tests for independence, and discriminating between models, are also given. The estimation procedure, and the flexibility of the new models, are illustrated with an application to sea level data.This publication has 2 references indexed in Scilit:
- A class of multivanate failure time distributionsBiometrika, 1986
- Probabilistic Aspects of Multivariate ExtremesPublished by Springer Nature ,1984