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Convex risk measures for the aggregation of multiple information sources and applications in insurance

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  • G. I. Papayiannis
  • A. N. Yannacopoulos

Abstract

We propose a novel class of convex risk measures, based on the concept of the Fréchet mean, designed in order to handle uncertainty which arises from multiple information sources regarding the risk factors of interest. The proposed risk measures robustly characterize the exposure of the firm, by filtering out appropriately the partial information available in individual sources into an aggregate model for the risk factors of interest. Importantly, the proposed risks can be expressed in closed analytic forms allowing for interesting qualitative interpretations as well as comparative statics and thus facilitate their use in the everyday risk management process of the insurance firms. The potential use of the proposed risk measures in insurance is illustrated by two concrete applications, capital risk allocation and premia calculation under uncertainty.

Suggested Citation

  • G. I. Papayiannis & A. N. Yannacopoulos, 2018. "Convex risk measures for the aggregation of multiple information sources and applications in insurance," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2018(9), pages 792-822, October.
    • Handle: RePEc:taf:sactxx:v:2018:y:2018:i:9:p:792-822
    DOI: 10.1080/03461238.2018.1461129
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    Cited by:

    1. Phoebe Koundouri & Georgios I. Papayiannis & Achilleas Vassilopoulos & Athanasios N. Yannacopoulos, 2023. "Probabilistic Scenario-Based Assessment of National Food Security Risks with Application to Egypt and Ethiopia," Papers 2312.04428, arXiv.org, revised Dec 2023.
    2. Koundouri, Phoebe & Papayiannis, Georgios I. & Petracou, Electra V. & Yannacopoulos, Athanasios N., 2023. "Consensus group decision making under model uncertainty with a view towards environmental policy making," MPRA Paper 122006, University Library of Munich, Germany.
    3. Georgios I. Papayiannis, 2023. "A Framework for Treating Model Uncertainty in the Asset Liability Management Problem," Papers 2310.11987, arXiv.org.

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