Cramér's estimate for Lévy processes
✍ Scribed by J. Bertoin; R.A. Doney
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 206 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
An extension of the classical Cramér-Lundberg approximation for ruin probabilities to a model of nonlinearly perturbed risk processes is presented. We introduce correction terms for the Cramér-Lundberg and diffusion type approximations, which provide the right asymptotic behaviour of relative errors
The present paper introduces a lower bound for the mean quadratic error of estimators of di erentiable statistical functionals. The result can be extended to bilinear covariance forms of vector-valued estimators. The lower bound leads to a concept of Fisher e ciency of estimators for functionals. Th
In this paper, we construct a Le vy area process for the free Brownian motion and in this way, a typical geometric rough path (in the sense of T. Lyons (1998, Rev. Mat. Iberoamer. 14, 215 310)), lying above the free Brownian path. Thus, the general results of Lyons on differential equations driven b