We examine the joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. The time of ruin is analyzed in terms of its Laplace transform, which can naturally be interpreted as discounting. We show that, as a function of the initial surplus, the joint densit
On the distribution of surplus immediately before ruin under interest force
β Scribed by Hailiang Yang; Lihong Zhang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 108 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
In this paper, we consider a compound Poisson model with a constant interest force for an insurance portfolio. We investigate the distribution of surplus process immediately before ruin in particular. Equations satisΓΏed by the distributions of surplus immediately before ruin and their Laplace transform have been obtained. Some special cases are also discussed and Lundberg-type bounds are presented.
π SIMILAR VOLUMES
We obtain explicit expressions for the distribution of surplus immediately before and after ruin which allow for simple derivation of bounds as well as simple evaluation for certain choices of the claim size distribution. We then use these expressions to construct Tijms-type approximations which are