Precise large deviations of aggregate claims in a nonstandard risk model with arbitrary dependence between claim sizes and waiting times

Autor: Qingwu Gao, Wenlei Pan
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 1, Pp 2191-2200 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023113?viewType=HTML
Popis: Recently, Chen et al.[3] investigated the precise large deviations of aggregate claims in a renewal risk model with arbitrary dependence between claim sizes and their waiting times. In this paper, we extend their results to a nonstandard risk model in which various dependence structures are imposed on the modeling components, and obtain the asymptotic lower and upper bounds of precise large deviations for aggregate claims, which hold uniformly for all x in a t-interval.
Databáze: Directory of Open Access Journals