In this paper, we consider a perturbed Sparre Andersen risk model, in which the inter-claim times are generalized Erlang(n) distributed. Under the multi-layer dividend strategy, piecewise integro-differential equations for the discounted penalty functions are derived, and a recursive approach is app
✦ LIBER ✦
On a Sparre Andersen risk model perturbed by a spectrally negative Lévy process
✍ Scribed by Zhang, Zhimin; Yang, Hailiang; Yang, Hu
- Book ID
- 126864964
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 375 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 0346-1238
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## Abstract A generalization of the Gerber–Shiu function proposed by (Cheung __et al__., __Scand. Actuarial J.__, in press, 2010) is used to derive some ordering properties for certain ruin‐related quantities in a Sparre Andersen type risk model. Additional bounds and/or refinements can be obtained