Extremes in Nature

The study of the statistics of extreme events is an essential first step in the mitigation of natural catastrophies. This book reviews the theoretical and practical aspects of the statistics of extreme events in nature. Topics range from high and low flows, to earthquakes and volcanic eruptions, land slides, avalanches, windstorms, extreme sea levels and high waves, forest fires and other disasters that threaten lives and properties and often cause severe economic losses worldwide. In many applications it is important to consider extreme events in a bivariate or multivariate context. Copulas exactly describe and model the dependence structure between random variables independently of the marginal laws involved. This approach simplifies the analysis of phenomena involved and makes it possible to introduce new parameters for the characterization of the extreme behaviour of a system.

Topics treated are diverse and of wide practical significance Clear exposition of theoretical background Application of copulas Nonstationary, bivariate and multivariate methods Treatment of natural disasters

Contenu
Univariate Extreme Value theory.- Multivariate Extreme Value theory.- Bivariate Analysis Via Copulas.- Multivariate Analysis Via Copulas.- Extreme Value Analysis Via Copulas.