Extreme Value Theory and Applications: Proceedings of the Conference on Extreme Value Theory and Applications, Volume 1 Gaithersburg Maryland 1993Janos Galambos, James Lechner, Emil Simiu It appears that we live in an age of disasters: the mighty Missis sippi and Missouri flood millions of acres, earthquakes hit Tokyo and California, airplanes crash due to mechanical failure and the seemingly ever increasing wind speeds make the storms more and more frightening. While all these may seem to be unexpected phenomena to the man on the street, they are actually happening according to well defined rules of science known as extreme value theory. We know that records must be broken in the future, so if a flood design is based on the worst case of the past then we are not really prepared against floods. Materials will fail due to fatigue, so if the body of an aircraft looks fine to the naked eye, it might still suddenly fail if the aircraft has been in operation over an extended period of time. Our theory has by now penetrated the so cial sciences, the medical profession, economics and even astronomy. We believe that our field has come of age. In or~er to fully utilize the great progress in the theory of extremes and its ever increasing acceptance in practice, an international conference was organized in which equal weight was given to theory and practice. This book is Volume I of the Proceedings of this conference. In selecting the papers for Volume lour guide was to have authoritative works with a large variety of coverage of both theory and practice. |
Contents
ENGINEERING APPLICATIONS | 15 |
The PoissonWeibull flaw model for brittle fiber strength | 43 |
Extreme value distributions for linear and nonlinear systems | 61 |
Copyright | |
26 other sections not shown
Common terms and phrases
1994 Kluwer Academic analysis approach approximation assume behaviour Castillo choice cluster Coles condition convergence defined denote density dependence distribution function domain of attraction example exceedances exponential extreme order statistics extreme value distribution extreme value theory fiber finite Galambos galaxies Gaussian Gaussian process given Gumbel distribution Haan Hellinger distance Hence Hüsler independent integer interval Leadbetter Lemma limit distribution linear log log Markov Math max-stable maxima maximum likelihood mean methods multivariate extreme value normal distribution observations obtain order statistics parameter Pareto Pareto distribution Pickands point process Poisson process probability problem proof random number random sequence random variables random vectors Reiss Resnick sample Section shape parameter Smith spatial standard stationary Tawn Theorem Theory of Extreme threshold tion upcrossings US(D Weibull distribution