The aggregate claims are modeled as a compound binomial process, and the individual claim amounts are integer-valued. We study f(x, y; u), the "discounted" probability of ruin for an initial surplus u, such that the surplus just before ruin is x and the deficit at ruin is y. This function can be use
Ruin probabilities in the compound binomial model
β Scribed by Gordon E. Willmot
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 575 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0167-6687
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π SIMILAR VOLUMES
We consider the asymptotical behaviour of the ruin function in perturbed and unperturbed non-standard risk models when the initial risk reserve tends to infinity. We give a characterization of this behaviour in terms of the unperturbed ruin function and the perturbation law provided that at least on
## Abstract In this paper we study the tail behaviour of the probability of ruin within finite time __t__, as initial risk reserve __x__ tends to infinity, for the renewal risk model with strongly subexponential claim sizes. The asymptotic formula holds uniformly for __t__β[__f__(__x__), β), where