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On finite-time ruin probabilities for classical risk models
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lefèvre, Claude Loisel, Stéphane |
| Copyright Year | 2008 |
| Abstract | This paper is concerned with the problem of ruin in the classical compound binomial and compound Poisson risk models. Our primary purpose is to extend to those models an exact formula derived by Picard and Lefevre (1997) for the probability of (non-)ruin within finite time. First, a standard method based on the ballot theorem and an argument of Seal-type provides an initial (known) formula for that probability. Then, a concept of pseudo-distributions for the cumulated claim amounts, combined with some simple implications of the ballot theorem, leads to the desired formula. Two expressions for the (non-)ruin probability over an infinite horizon are also deduced as corollaries. Finally, an illustration within the framework of Solvency II is briefly presented. |
| Starting Page | 41 |
| Ending Page | 60 |
| Page Count | 20 |
| File Format | PDF HTM / HTML |
| DOI | 10.1080/03461230701766882 |
| Volume Number | 2008 |
| Alternate Webpage(s) | http://docs.isfa.fr/labo/2007.3(WP2038).pdf |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00168958/document |
| Alternate Webpage(s) | https://doi.org/10.1080/03461230701766882 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
