Extreme Value Theory in Engineering

This book is a comprehensive guide to extreme value theory in engineering. Written for the end user with intermediate and advanced statistical knowledge, it covers classical methods as well as recent advances. A collection of 150 examples illustrates the theoretical results and takes the reader from simple applications through complex cases of dependence.

Introduction and Motivation. Order Statistics. Asymptotic Distributions of Maxima and Minima (I.D. Case). Shortcut Procedures: Probability Papers and Least-Square Methods. The Gumbel, Weibull, and Frechet Distributions. Selection of Limit Distributions from Data. Limit Distributions of K-TH Order Statistics. Limit Distributions in the Case of Dependence. Multivariate and Regression Models Related to Extremes. Multivariate Extremes. Appendixes.