Statistics Of Extremes: Theory And Applications

Research in the statistical analysis of extreme values has flourished over the past decades: new probability models, inference and data analysis techniques have been introduced, while new application areas have been explored. "Statistics of Extremes: Theory and Applications" covers a wide range of models and applications, in particular in financial and actuarial risk management, a major area of interest and relevance to extreme value theory. Case studies are introduced in the first part of the book and are used throughout to show the application of each model discussed. The second part of the book covers advanced topics, such as multivariate and Bayesian modelling of extremes.

Provides comprehensive coverage of a growing area of research. Provides a good balance of theory and real-world applications. Includes coverage of time series, regression, multivariate and Bayesian modelling. Introduces a number of case studies early in the book and develops the theory around them. Illustrated with many data examples and plots.

"Statistics of Extremes: Theory and Applications" will appeal to researchers and graduate students of applied probability and statistics, particularly those studying extreme values. It is also suitable for applied statisticians working in finance and insurance, pollution and climatology, geology, metallurgy, and engineering.

Research in the statistical analysis of extreme values has flourished over the past decade: new probability models, inference and data analysis techniques have been introduced; and new application areas have been explored. "Statistics of Extremes" comprehensively covers a wide range of models and application areas, including risk and insurance: a major area of interest and relevance to extreme value theory. Case studies are introduced providing a good balance of theory and application of each model discussed, incorporating many illustrated examples and plots of data. The last part of the book covers some interesting advanced topics, including time series, regression, multivariate and Bayesian modelling of extremes, the use of which has huge potential.