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The second-order version of Karamata's theorem with applications

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Publication:385111
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DOI10.1016/j.spl.2013.02.006zbMath1287.60067OpenAlexW2070772665MaRDI QIDQ385111

Xuan Leng, Taizhong Hu, Xiaoqing Pan

Publication date: 29 November 2013

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2013.02.006


zbMATH Keywords

regular variationextreme value theoryconditional momentKaramata's theoremsecond-order regular variation


Mathematics Subject Classification ID

Applications of statistics to actuarial sciences and financial mathematics (62P05) Extreme value theory; extremal stochastic processes (60G70)


Related Items

SIMULTANEOUS CONFIDENCE BANDS FOR CONDITIONAL VALUE-AT-RISK AND EXPECTED SHORTFALL ⋮ Second-order regular variation inherited from Laplace–Stieltjes transforms



Cites Work

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  • Second order regular variation and conditional tail expectation of multiple risks
  • Second-order regular variation, convolution and the central limit theorem
  • Conditions based on conditional moments for max-stable limit laws
  • Extreme value behavior of aggregate dependent risks
  • On Smooth Statistical Tail Functionals
  • PROPERTIES OF SECOND-ORDER REGULAR VARIATION AND EXPANSIONS FOR RISK CONCENTRATION
  • Heavy-Tail Phenomena
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