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
Exact and approximate properties of the distribution of surplus before and after ruin
β Scribed by Gordon E. Willmot; X. Sheldon Lin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 879 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0167-6687
No coin nor oath required. For personal study only.
β¦ Synopsis
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 often exact.
π SIMILAR VOLUMES
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