Front cover image for Statistical analysis of extreme values : with applications to insurance, finance, hydrology and other fields

Statistical analysis of extreme values : with applications to insurance, finance, hydrology and other fields

The statistical analysis of extreme data is important for various disciplines, including hydrology, insurance, finance, engineering and environmental sciences. This book provides a self-contained introduction to the parametric modeling, exploratory analysis and statistical interference for extreme values. The entire text of this third edition has been thoroughly updated and rearranged to meet the new requirements. Additional sections and chapters, elaborated on more than 100 pages, are particularly concerned with topics like dependencies, the conditional analysis and the multivariate modeling of extreme data. Parts I-III about the basic extreme value methodology remain unchanged to some larger extent, yet notable are, e.g., the new sections about "An Overview of Reduced-Bias Estimation" (co-authored by M.I. Gomes), "The Spectral Decomposition Methodology", and "About Tail Independence" (co-authored by M. Frick), and the new chapter about "Extreme Value Statistics of Dependent Random Variables" (co-authored by H. Drees). Other new topics, e.g., a chapter about "Environmental Sciences", (co--authored by R.W. Katz), are collected within Parts IV-VI
eBook, English, 2007
Birkhäuser ; Springer [distributor], Basel, London, 2007
1 online resource
9783764373993, 9783764372309, 9781281344045, 3764373997, 3764372303, 1281344044
261225489
Modeling and Data Analysis
Parametric Modeling
Diagnostic Tools
Statistical Inference in Parametric Models
An Introduction to Parametric Inference
Extreme Value Models
Generalized Pareto Models
Advanced Statistical Analysis
Statistics of Dependent Variables
Conditional Extremal Analysis
Statistical Models for Exceedance Processes
Elements of Multivariate Statistical Analysis
Basic Multivariate Concepts and Visualization
Elliptical and Related Distributions
Multivariate Maxima
Multivariate Peaks Over Threshold
Topics in Hydrology and Environmental Sciences
Flood Frequency Analysis
Environmental Sciences
Topics in Finance and Insurance
Extreme Returns in Asset Prices
The Impact of Large Claims on Actuarial Decisions
Topics in Material and Life Sciences
Material Sciences
Life Science
English