Monte-Carlo estimate of the probability of ruin in a compound poisson model of risk theory
β Scribed by A. N. Nakonechnyi
- Publisher
- Springer US
- Year
- 1995
- Tongue
- English
- Weight
- 159 KB
- Volume
- 31
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
To obtain the likelihood of a non-Gaussian state-space model, Durbin and Koopman (1997, Biometrika, 84, 669 -684) ΓΏrst calculate the likelihood under an approximating linear Gaussian model and then use Monte Carlo methods to estimate the necessary adjustment factor. We show that Durbin and Koopman's