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Two parallel insurance lines with simultaneous arrivals and risks correlated with inter-arrival times

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  • Badila, E.S.
  • Boxma, O.J.
  • Resing, J.A.C.

Abstract

We investigate an insurance risk model that consists of two reserves which receive income at fixed rates. Claims are being requested at random epochs from each reserve and the interclaim times are generally distributed. The two reserves are coupled in the sense that at a claim arrival epoch, claims are being requested from both reserves and the amounts requested are correlated. In addition, the claim amounts are correlated with the time elapsed since the previous claim arrival.

Suggested Citation

  • Badila, E.S. & Boxma, O.J. & Resing, J.A.C., 2015. "Two parallel insurance lines with simultaneous arrivals and risks correlated with inter-arrival times," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 48-61.
    • Handle: RePEc:eee:insuma:v:61:y:2015:i:c:p:48-61
    DOI: 10.1016/j.insmatheco.2014.12.003
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    References listed on IDEAS

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    1. Avram, Florin & Palmowski, Zbigniew & Pistorius, Martijn, 2008. "A two-dimensional ruin problem on the positive quadrant," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 227-234, February.
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    Citations

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    Cited by:

    1. Gordienko, E. & Vázquez-Ortega, P., 2018. "Continuity inequalities for multidimensional renewal risk models," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 48-54.
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    3. Boxma, Onno & Frostig, Esther & Perry, David & Yosef, Rami, 2017. "A state dependent reinsurance model," Insurance: Mathematics and Economics, Elsevier, vol. 74(C), pages 170-181.
    4. Albrecher, Hansjörg & Cheung, Eric C.K. & Liu, Haibo & Woo, Jae-Kyung, 2022. "A bivariate Laguerre expansions approach for joint ruin probabilities in a two-dimensional insurance risk process," Insurance: Mathematics and Economics, Elsevier, vol. 103(C), pages 96-118.
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    6. Youri Raaijmakers & Hansjörg Albrecher & Onno Boxma, 2019. "The Single Server Queue with Mixing Dependencies," Methodology and Computing in Applied Probability, Springer, vol. 21(4), pages 1023-1044, December.
    7. Ivanovs, Jevgenijs & Boxma, Onno, 2015. "A bivariate risk model with mutual deficit coverage," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 126-134.
    8. Hansjoerg Albrecher & Pablo Azcue & Nora Muler, 2015. "Optimal Dividend Strategies for Two Collaborating Insurance Companies," Papers 1505.03980, arXiv.org.
    9. Pablo Azcue & Nora Muler & Zbigniew Palmowski, 2016. "Optimal dividend payments for a two-dimensional insurance risk process," Papers 1603.07019, arXiv.org, revised Apr 2018.

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