Suchergebnisse

We discuss the uniformly asymptotic estimate of the finite-time ruin probability for all times in a generalized compound renewal risk model, where the interarrival times of successive accidents and all the claim sizes caused by an accident are two sequences of random variables following a wide dependence structure. This wide dependence structure allows random variables to be either negatively dependent or positively dependent.

In this paper, we investigate the asymptotic behavior of the finite-time ruin probability in a general risk model with constant interest force, in which the claims are of a widely upper orthant dependence structure, belonging to the intersection of long-tailed class and dominant variation class, and arriving according to an arbitrary counting process. The results we obtained can extend and improve some existing results.