Extreme value theory

the long version

The theory of extreme values has become a broad subject which is difficult to cover by a few authors. It is the purpose of this book to lay out in an expository way the broad spectrum of extremes by contributions, some of which are reviewing recent developments and some are including original ideas and results. In the last years, the complexity of problems and their tractability by mathematical methods stimulated a rapid development of mathematical theory that substantially helped to improve our understanding of extreme behavior. Due to the depth and richness of mathematical ideas, extreme value theory has become more and more interesting to mathematically oriented research workers. This was one of the reasons a conference on extreme value theory was held at the Mathematische Forschungsinstitut at Oberwolfach (FRG) in December 1987. The book is split into three parts with a total number of nine sections. The topics covered include probabilistic theory, statistical theory of extreme values, and multivariate extremes and records.