Small dependencies and large actuarial risks

Willem/Wim Albers, W.C.M. Kallenberg, V. Lukocius

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    Abstract

    Methods for computing risk measures such as stop-loss premiums tacitly assume independence of the underlying individual risks. From earlier studies it is already known that this assumption can lead to huge errors even when only small dependencies occur. In the present paper a general model is developed, which covers what happens in practice in a realistic way. Moreover, it is also flexible, in the sense that it allows application in practice. Approximations are presented which are both accurate and transparent and the results obtained are illustrated through some explicit examples.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages19
    Publication statusPublished - Nov 2006

    Publication series

    NameApplied Mathematics Memoranda
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1812
    ISSN (Print)0169-2690

    Keywords

    • MSC-62E17
    • MSC-62P05
    • EWI-7440
    • overdispersion
    • tail events
    • cumulants
    • dependence
    • Aggregate claims
    • IR-66489
    • METIS-238208

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