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Statistical Analysis of Extreme Values: with Applications to Insurance, Finance, Hydrology and Other Fields

Autor Rolf-Dieter Reiss, Michael Thomas
en Limba Engleză Paperback – 21 iun 2007
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.


Related software is available for free download on extras.springer.com.

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Specificații

ISBN-13: 9783764372309
ISBN-10: 3764372303
Pagini: 530
Ilustrații: XVIII, 511 p.
Dimensiuni: 155 x 235 x 30 mm
Greutate: 1.27 kg
Ediția:3rd ed. 2007
Editura: Birkhäuser Basel
Colecția Birkhäuser
Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

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.

Recenzii

"The book is well written. It assumes a knowledge of statistics, but many of the ideas and techniques can be used by a nonstatistician. As a handbook for XTREMES, it is excellent, and I recommend it highly."
-Computing Reviews
"The present book is a valuable contribution to the various theoretical and applied problems in the area of extreme value theory...a pleasure to read."
-Statistics & Decisions
"The book is however much more than a manual for the program and it would provide an excellent introduction to the subject for any statistician looking for a practical introduction to the subject of extreme values."
- J. Time Series Analysis
"With general statistics software, appropriate tools for the analysis of real extreme value problems are rarely provided. XTREMES excellently fills this gap in the statistics software market."
-Computational Statistics
"For a practitioner from industry, insurance, or finance who is less concerned with understanding the underlying probability and more interested in applications, this new book will be a good buy."
-JASA
"The book can be highly recommended to all who deal with statistics of extremes." - Zeitschrift fur Mathematik

Textul de pe ultima copertă

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 DependentRandom 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.

Caracteristici

Within the applied parts of the book one will find new chapters about Environmental Sciences (co-authored by R.W. Katz) and Conditional Approaches to Financial Data The present book is a valuable contribution to the various theoretical and applied problems in the area of extreme value theory...a pleasure to read." (Statistics and Decisions, review of the 2nd ed.) The book is however much more than a manual for the program and it would provide an excellent introduction to the subject for any statistician looking for a practical introduction to the subject of extreme values." (J. Time Series Analysis, review of the 2nd ed.) Related software is available for free download on extras.springer.com Includes supplementary material: sn.pub/extras