A bivariate risk model with mutual deficit coverage

J. Ivanovs, O.J. Boxma

Onderzoeksoutput: Boek/rapportRapportAcademic


We consider a bivariate risk reserve process with the special feature that each insurance company agrees to cover the deficit of the other. It is assumed that the capital transfers between the companies are instantaneous and incur a certain proportional cost, and that ruin occurs when neither company can cover the deficit of the other. We study the survival probability as a function of initial capitals and express its bivariate transform through two univariate boundary transforms, where one of the initial capitals is fixed at 0. We identify these boundary transforms in the case when claims arriving at each company form two independent processes. The expressions are in terms of Wiener-Hopf factors associated to two auxiliary compound Poisson processes. The case of non-mutual (reinsurance) agreement is also considered. Keywords: Two-dimensional risk model, survival probability, coupled processor model, Wiener-Hopf factorization
Originele taal-2Engels
Plaats van productieEindhoven
Aantal pagina's15
StatusGepubliceerd - 2015

Publicatie series

NaamReport Eurandom
ISSN van geprinte versie1389-2355

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  • Citeer dit

    Ivanovs, J., & Boxma, O. J. (2015). A bivariate risk model with mutual deficit coverage. (Report Eurandom; Vol. 2015003). Eurandom.