Abstract
Consider a renewal risk model with a constant premium and a constant force of interest rate, where the claim sizes and inter-arrival times follow certain dependence structures via some restriction on their copula function. Under the assumption that the distribution of the claim-size belongs to the intersection of the class S(γ), γ ≥ 0 and the class R√ ∞, or a larger intersection class of O-subexponential distribution, class L(γ) and R√ ∞, the infinite-time absolute ruin probabilities are derived.
| Original language | English |
|---|---|
| Pages (from-to) | 97-115 |
| Number of pages | 19 |
| Journal | Stochastic Models |
| Volume | 33 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2 Jan 2017 |
| Externally published | Yes |
Keywords
- Absolute ruin probability
- Farlie–Gumbel–Morgenstern distribution
- asymptotics
- class
- class
- class of O-subexponential distributions
- class of rapidly-varying-tailed distributions
- dependence
- renewal risk model