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The Art of Finding Hidden Risks : Hidden Regular Variation in the 21st Century / by Sidney Resnick

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Cham : Springer Nature Switzerland, 2024Publisher: Cham : Imprint: Springer, 2024Edition: 1st ed. 2024Description: 1 Online-Ressource(XIII, 262 p. 105 illus., 73 illus. in color.)ISBN:
  • 9783031575990
Subject(s): Additional physical formats: 9783031575983 | 9783031576003 | 9783031576010 | Erscheint auch als: 9783031575983 Druck-Ausgabe | Erscheint auch als: 9783031576003 Druck-Ausgabe | Erscheint auch als: 9783031576010 Druck-Ausgabe | Erscheint auch als: The art of finding hidden risks. Druck-Ausgabe Cham : Springer Nature Switzerland, 2024. xiii, 262 SeitenDDC classification:
  • 519.23 23
DOI: DOI: 10.1007/978-3-031-57599-0Online resources: Summary: 1 Foundation -- 2 Regular Variation -- 3 Hidden Regular Variation -- 4 Lévy Processes with Regularly Varying Distributions: Where Do the Jumps Go? -- 5 Statistics -- A A Crash Course on Regularly Varying Functions -- B Notation Summary -- References -- Index.Summary: 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.PPN: PPN: 1897903219Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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