Extreme Value Theory and Applications: Proceedings of the Conference on Extreme Value Theory and Applications, Volume 1 Gaithersburg Maryland 1993
Janos Galambos, James Lechner, Emil Simiu
Springer US, Jul 31, 1994 - Mathematics - 520 pages
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.
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analysis approach approximation assume behaviour Castillo choice cluster Coles condition convergence deﬁned denote density dependence distribution function domain of attraction Engineering estimation example exceedances exponential extreme order statistics extreme value distribution extreme value theory ﬁber ﬁeld ﬁnd ﬁnite ﬁrst ﬁt ﬁtted ﬁxed ﬂaw ﬂood Galambos galaxies Gaussian Gaussian process given Gumbel distribution Haan Hellinger distance Hence Hiisler independent integer interval Janos Galambos Leadbetter Lemma limit distribution linear Markov Math Mathematics max-stable maxima maximum likelihood mean methods multivariate extreme value normal distribution observations obtain order statistics parameter Pareto distribution Pickands plot point process Poisson process probability problem proof quantile random number random sequence random variables Reiss Resnick sample satisﬁes Section shape parameter signiﬁcant Smith spatial speciﬁc standard stationary stochastic structure Tawn Theorem Theory of Extreme threshold tion upcrossing wave Weibull distribution