On the random-time and finite-time ruin probability for widely dependent claim sizes and inter-arrival times

Abstract

Using the results of precise large deviation and renewal theory for widely dependent random variables, this paper obtains the asymptotic estimation of the random-time ruin probability and the uniform asymptotic estimation of finite-time ruin probability for a nonstandard renewal risk model, in which both claim sizes and the inter-arrival times of claim sizes are widely dependent.