Precise large deviations of sums of widely dependent random variables and its applications
Probability
2021-06-14 v1
Abstract
In this paper, we obtain some results on precise large deviations for non-random and random sums of widely dependent random variables with common dominatedly varying tail distribution or consistently varying tail distribution on . Then we apply the results to reinsurance and insurance and give some asymptotic estimates on proportional reinsurance, random-time ruin probability and the finite-time ruin probability.
Keywords
Cite
@article{arxiv.2106.06188,
title = {Precise large deviations of sums of widely dependent random variables and its applications},
author = {Zhaolei Cui and Yuebao Wang},
journal= {arXiv preprint arXiv:2106.06188},
year = {2021}
}