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Inequalities in Risk Theory

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

There is a belief that heterogeneity in a portfolio increases its risk. This paper examines if this belief holds. We examine the impact of various types of heterogeneity on risk measures in the individual model, collective risk model, and life insurance. In order to measure heterogeneity, we apply majorization and Schur functions.

Original languageEnglish
Title of host publicationEncyclopedia of Quantitative Risk Analysis and Assessment
Subtitle of host publicationMelnick/Risk
Publisherwiley
Pages1-7
Number of pages7
ISBN (Electronic)9780470061596
ISBN (Print)9780470035498
DOIs
StatePublished - 1 Jan 2008

Bibliographical note

Publisher Copyright:
© 2008 John Wiley & Sons, Ltd. All rights reserved.

Keywords

  • Robin Hood transformation
  • Schur decreasing
  • Schur increasing
  • majorization
  • premium
  • risk measure
  • stochastic order
  • stop loss

ASJC Scopus subject areas

  • General Mathematics

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