Ruin probabilities and decompositions for general perturbed risk processes
概率论
2016-09-07 v1
摘要
We study a general perturbed risk process with cumulative claims modelled by a subordinator with finite expectation, with the perturbation being a spectrally negative Levy process with zero expectation. We derive a Pollaczek-Hinchin type formula for the survival probability of that risk process, and give an interpretation of the formula based on the decomposition of the dual risk process at modified ladder epochs.
引用
@article{arxiv.math/0407125,
title = {Ruin probabilities and decompositions for general perturbed risk processes},
author = {Miljenko Huzak and Mihael Perman and Hrvoje Sikic and Zoran Vondracek},
journal= {arXiv preprint arXiv:math/0407125},
year = {2016}
}