Statistical Methods for Multivariate Extremes: An Application to Structural Design

作者: Stuart G. Coles , Jonathan A. Tawn

DOI: 10.2307/2986112

关键词: Joint probability distributionEngineering design processMathematicsProcess (engineering)Extreme value theoryGeneralized extreme value distributionMultivariate statisticsEconometricsUnivariateMultivariate normal distribution

摘要: For many structural design problems univariate extreme value theory is applied to quantify the risk of failure due levels some environmental process. In practice, forms structure fail owing a combination various processes at levels. Recent developments in statistical methodology for multivariate extremes enable modelling such behaviour. The aim this paper demonstrate how these ideas can be exploited as part process

参考文章(50)
Jonathan A. Tawn, Estimating probabilities of extreme sea-levels Applied statistics. ,vol. 41, pp. 77- 93 ,(1992) , 10.2307/2347619
Harry Joe, Richard L. Smith, Ishay Weissman, Bivariate Threshold Methods for Extremes Journal of the royal statistical society series b-methodological. ,vol. 54, pp. 171- 183 ,(1992) , 10.1111/J.2517-6161.1992.TB01871.X
Various, Design of seawalls allowing for wave overtopping Hydraulics Research Station (HRS). ,(1980)
Richard L. Smith, Approximations in Extreme Value Theory. Defense Technical Information Center. ,(1987) , 10.21236/ADA189817
F.L. Beiboer, R.L. Prior-Jones, Use Of Joint Probability In Deriving Environmental Design Criteria Environmental Forces on Offshore Structures and Their Predictions: Proceedings of an international conference. ,(1990)
G.A. Alcock, Parameterizing extreme still water levels and waves in design level studies Institute of Oceanographic Sciences. ,(1984)
Laurens Haan, Sidney I. Resnick, Limit theory for multivariate sample extremes Probability Theory and Related Fields. ,vol. 40, pp. 317- 337 ,(1977) , 10.1007/BF00533086
C. W. Anderson, K. F. Turkman, Limiting Joint Distributions of Sums and Maxima in a Statistical Context Theory of Probability & Its Applications. ,vol. 37, pp. 314- 316 ,(1993) , 10.1137/1137063
JONATHAN A. TAWN, Bivariate extreme value theory: Models and estimation Biometrika. ,vol. 75, pp. 397- 415 ,(1988) , 10.1093/BIOMET/75.3.397