Extended Precise Large Deviations of Random Sums in the Presence of END Structure and Consistent Variation

[摘要] The study of precise large deviations of random sums is an important topic in insurance and finance. In this paper, extended precise large deviations of random sums in the presence of END structure and consistent variation are investigated. The obtainedresults extend those of Chen and Zhang (2007) and Chen et al. (2011). As an application, precise large deviations of the prospective- loss process of a quasirenewal model are considered.

[学科分类] 应用数学