Extreme Value Theory and Applications, Vol. 1 Book

	Preface
	Recollections of E. J. Gumbel
	Extreme Value Theory for Applications	1
	Extremes in engineering applications	15
	The Poisson-Weibull flaw model for brittle fiber strength	43
	Extreme value distributions for linear and non-linear systems and applications to marine structures	61
	Extreme value theory for fibre bundles	77
	Extreme value statistics	93
	Bayes quantile estimation and threshold selection for the Generalized Pareto family	123
	Novel extreme value estimation procedures: Application to extreme wind data	139
	On testing the exponential and Gumbel distribution	159
	XTREMES: Extreme value analysis and robustness	175
	Simulations for the extreme statistics	189
	Analytical and empirical study of the tails of probability distributions	199
	Concomitants of extreme order statistics	211
	Multivariate threshold methods	225
	Applications of multivariate extremes	249
	Some aspects of spatial extremes	269
	Extremes: Limit results for univariate and multivariate nonstationary sequences	283
	Extreme value limit theory with nonlinear normalization	305
	Extreme values and choice theory	319
	Functional laws for small numbers	337
	Record statistics from point process models	355
	Extremes and exceedance measures for continuous parameter stationary processes	371
	A new class of random fields and their extreme values	389
	Penultimate behaviour of the extremes	403
	Weak convergence of the Hill estimator process	419
	On the limiting distribution of fractional parts of extreme order statistics	433
	On the largest prime divisors of an integer	447
	Probing the nature of the brightest galaxies using extreme value theory	463
	Safety first portfolio selection, extreme value theory and long run asset risks	471
	Extremes in non-life insurance	489
	Subject Index	511