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
β¦ LIBER β¦
Erlangian approximation to finite time ruin probabilities in perturbed risk models
β Scribed by Stanford, David A.; Yu, Kaiqi; Ren, Jiandong
- Book ID
- 121201236
- Publisher
- Taylor and Francis Group
- Year
- 2011
- Tongue
- English
- Weight
- 274 KB
- Volume
- 2011
- Category
- Article
- ISSN
- 0346-1238
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## 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