• Title of article

    A comonotonic image of independence for additive risk measures

  • Author/Authors

    Goovaerts، نويسنده , , Marc J. and Kaas، نويسنده , , Rob and Laeven، نويسنده , , Roger J.A. and Tang، نويسنده , , Qihe، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    14
  • From page
    581
  • To page
    594
  • Abstract
    This paper presents a new axiomatic characterization of risk measures that are additive for independent random variables. In contrast to previous work, we include an axiom that guarantees monotonicity of the risk measure. Furthermore, the axiom of additivity for independent random variables is related to an axiom of additivity for comonotonic random variables. The risk measure characterized can be regarded as a mixed exponential premium.
  • Keywords
    Risk measures , Additivity , Exponential order , Laplace transform order , Esscher transform , Comonotonicity
  • Journal title
    Insurance Mathematics and Economics
  • Serial Year
    2004
  • Journal title
    Insurance Mathematics and Economics
  • Record number

    1542838