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Verfasst von:Resnick, Sidney I. [VerfasserIn]   i
Titel:The Art of Finding Hidden Risks
Titelzusatz:Hidden Regular Variation in the 21st Century
Verf.angabe:by Sidney Resnick
Ausgabe:1st ed. 2024.
Verlagsort:Cham
 Cham
Verlag:Springer Nature Switzerland
 Imprint: Springer
E-Jahr:2024
Jahr:2024.
 2024.
Umfang:1 Online-Ressource(XIII, 262 p. 105 illus., 73 illus. in color.)
ISBN:978-3-031-57599-0
Abstract: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.
 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.
DOI:doi:10.1007/978-3-031-57599-0
URL:Resolving-System: https://doi.org/10.1007/978-3-031-57599-0
 DOI: https://doi.org/10.1007/978-3-031-57599-0
Datenträger:Online-Ressource
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe
 Erscheint auch als : Druck-Ausgabe
 Erscheint auch als : Druck-Ausgabe
 Erscheint auch als : Druck-Ausgabe: Resnick, Sidney I., 1945 - : The art of finding hidden risks. - Cham : Springer Nature Switzerland, 2024. - xiii, 262 Seiten
K10plus-PPN:1897903219
 
 
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