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The compound Pascal model with dividends paid under random interest

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  • Geng, Xianmin
  • Wang, Ying

Abstract

Consider a discrete time risk model under random interest based on the compound Pascal model. The insurer pays a dividend of 1 with a probability q0 when the surplus is greater than or equal to a non-negative b. In addition, the effect of interest is considered in our model. We derive recursion formulas for the ruin probability, and the joint distribution of the surplus before ruin and the deficit at ruin. Further, we give the generalized Lundberg inequalities for the ruin probability when q0=1.

Suggested Citation

  • Geng, Xianmin & Wang, Ying, 2012. "The compound Pascal model with dividends paid under random interest," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1331-1336.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:7:p:1331-1336
    DOI: 10.1016/j.spl.2012.03.037
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    References listed on IDEAS

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    1. Lin, X.Sheldon & Pavlova, Kristina P., 2006. "The compound Poisson risk model with a threshold dividend strategy," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 57-80, February.
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    7. Siegl, Thomas & Tichy, Robert F., 1999. "A process with stochastic claim frequency and a linear dividend barrier," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 51-65, March.
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