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The Art of Finding Hidden Risks: Hidden Regular Variation in the 21st Century
Hardcover
Series: Springer Operations Research and Financial Engineering
ISBN13: 9783031575983
Publisher: Springer
Published: Aug 2 2024
Pages: 262
Weight: 1.25
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
This text gives a comprehensive, largely self-contained treatment of multivariate heavy tail analysis. Emphasizing regular variation of measures means theory can be presented systematically and without regard to dimension. Tools are developed that allow a flexible definition of extreme in higher dimensions and permit different heavy tails to coexist on the same state space leading to hidden regular variation and steroidal regular variation. This emphasizes when estimating risks, it is important to choose the appropriate heavy tail. Theoretical foundations lead naturally to statistical techniques; examples are drawn from risk estimation, finance, climatology and network analysis. Treatments target a broad audience in insurance, finance, data analysis, network science and probability modeling. The prerequisites are modest knowledge of analysis and familiarity with the definition of a measure; regular variation of functions is reviewed but is not a focal point.
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