Arbeitspapier

A Comonotonic Image of Independence for Additive Risk Measures

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.

Language
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 04-030/4

Classification
Wirtschaft
Criteria for Decision-Making under Risk and Uncertainty
Insurance; Insurance Companies; Actuarial Studies
Subject
Risk measures
Additivity
Exponential order
Laplace transform order
Esscher transform
Comonotonicity
Risiko
Messung

Event
Geistige Schöpfung
(who)
Goovaerts, Marc J.
Kaas, Rob
Laeven, Roger J.A.
Tang, Qihe
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
2004

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Goovaerts, Marc J.
  • Kaas, Rob
  • Laeven, Roger J.A.
  • Tang, Qihe
  • Tinbergen Institute

Time of origin

  • 2004

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