Uniform asymptotics for the finite-time ruin probability with upper tail asymptotically independent claims and constant force of interest

This paper investigates the finite-time ruin probability in a risk model with constant force of interest, upper tail asymptotically independent claims, and a general claim arrival process. We obtain a uniformly asymptotic formula for times in a finite interval. In particular, with a certain dependence among the inter-arrival times, the formula holds uniformly for all times.