Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Modelling multivariate extreme value distributions
AU - Tawn, Jonathan A.
PY - 1990/6/30
Y1 - 1990/6/30
N2 - Multivariate extreme value distributions arise as the limiting joint distribution of normalized componentwise maxima/minima. No parametric family exists for the dependence between the margins. This paper extends to more than two variables the models and results for the bivariate case obtained by Tawn (1988). Two new families of physically motivated parametric models for the dependence structure are presented and are illustrated with an application to trivariate extreme sea level data.
AB - Multivariate extreme value distributions arise as the limiting joint distribution of normalized componentwise maxima/minima. No parametric family exists for the dependence between the margins. This paper extends to more than two variables the models and results for the bivariate case obtained by Tawn (1988). Two new families of physically motivated parametric models for the dependence structure are presented and are illustrated with an application to trivariate extreme sea level data.
KW - Extreme value theory
KW - Generalized Pareto distribution
KW - Multivariate exponential distribution
KW - Nonregular estimation
U2 - 10.1093/biomet/77.2.245
DO - 10.1093/biomet/77.2.245
M3 - Journal article
AN - SCOPUS:0001032278
VL - 77
SP - 245
EP - 253
JO - Biometrika
JF - Biometrika
SN - 0006-3444
IS - 2
ER -