Modelling Extreme Multivariate Events

The classical treatment of multivariate extreme values is through componentwise ordering, though in practice most interest is in actual extreme events. Here the point process of observations which are extreme in at least one component is considered. Parametric models for the dependence between compo...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:Journal of the Royal Statistical Society. Series B (Methodological). - Royal Statistical Society, 1948. - 53(1991), 2, Seite 377-392
1. Verfasser: Coles, Stuart G. (VerfasserIn)
Weitere Verfasser: Tawn, Jonathan A.
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1991
Zugriff auf das übergeordnete Werk:Journal of the Royal Statistical Society. Series B (Methodological)
Schlagworte:Extreme Value Theory Generalized Pareto Distrbution Maximum Likelihood Multivariate Ordering Non-Homogeneous Poisson Process Simplex Measures Business Mathematics Physical sciences Applied sciences
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520 |a The classical treatment of multivariate extreme values is through componentwise ordering, though in practice most interest is in actual extreme events. Here the point process of observations which are extreme in at least one component is considered. Parametric models for the dependence between components must satisfy certain constraints. Two new techniques for generating such models are presented. Aspects of the statistical estimation of the resulting models are discussed and are illustrated with an application to oceanographic data. 
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650 4 |a Extreme Value Theory 
650 4 |a Generalized Pareto Distrbution 
650 4 |a Maximum Likelihood 
650 4 |a Multivariate Ordering 
650 4 |a Non-Homogeneous Poisson Process 
650 4 |a Simplex Measures 
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650 4 |a Mathematics  |x Pure mathematics  |x Probability theory  |x Random variables  |x Stochastic processes  |x Poisson process 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Statistical distributions  |x Distribution functions 
650 4 |a Mathematics  |x Pure mathematics  |x Linear algebra  |x Vector analysis  |x Vector operations  |x Componentwise operations 
650 4 |a Applied sciences  |x Research methods  |x Modeling 
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