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Applied Extreme Value Statistics : With a Special Focus on the ACER Method by Arvid Naess (2024, Hardcover)
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It includes chapters on classical asymptotic theories and threshold exceedance models, with many illustrative examples. With diverse applications to science, engineering and finance, the techniques described in this book will be useful to readers from many different backgrounds.
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Product Identifiers
PublisherSpringer
ISBN-103031607686
ISBN-139783031607684
eBay Product ID (ePID)17067069583
Product Key Features
Number of PagesXiv, 268 Pages
Publication NameApplied Extreme Value Statistics : with a Special Focus on the Acer Method
LanguageEnglish
SubjectProbability & Statistics / Stochastic Processes, Probability & Statistics / General, General
Publication Year2024
TypeTextbook
AuthorArvid Naess
Subject AreaMathematics
FormatHardcover
Dimensions
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Dewey Edition23
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal519.24
Table Of Content- Challenges of Applied Extreme Value Statistics.- Classical Extreme Value Theory.- The Peaks-Over-Threshold Method.- A Point Process Approach to Extreme Value Statistics.- The ACER Method.- Some Practical Aspects of Extreme Value Analyses.- Estimation of Extreme Values for Financial Risk Assessment.- The Upcrossing Rate via the Characteristic Function.- Monte Carlo Methods and Extreme Value Estimation.- Bivariate Extreme Value Distributions.- Space-Time Extremes of Random Fields.- A Case Study - Extreme Water Levels.
SynopsisThis book does not focus solely on asymptotic extreme value distributions. In addition to the traditional asymptotic methods, it introduces a data-driven, computer-based method, which provides insights into the exact extreme value distribution inherent in the data, and which avoids asymptotics. It therefore differs from currently available texts on extreme value statistics in one very important aspect. The method described provides a unique tool for diagnostics, and for efficient and accurate extreme value prediction based on measured or simulated data. It also has straightforward extensions to multivariate extreme value distributions. The first half provides an introduction to extreme value statistics with an emphasis on applications. It includes chapters on classical asymptotic theories and threshold exceedance models, with many illustrative examples. The mathematical level is elementary and, to increase readability, detailed mathematical proofs have been avoided in favour of heuristic arguments. The second half presents in some detail specialized topics that illustrate the power and the limitations of the concepts discussed. With diverse applications to science, engineering and finance, the techniques described in this book will be useful to readers from many different backgrounds.
LC Classification NumberQA276-280
