Uniform asymptotics for ruin probabilities of a delayed renewal risk model with one-sided linear dependence and stochastic returns.

Autor: Zou, Lei, Peng, Jiangyan, Jiang, Zhiquan, Yang, Ruonan
Předmět:
Zdroj: Communications in Statistics: Theory & Methods; 2024, Vol. 53 Issue 5, p1624-1652, 29p
Abstrakt: In this article, we consider a renewal risk model with by-claims, where the price process of the investment portfolio follows an exponential Lévy process. We further assume that the main claim is a one-sided linear process and there exists a certain dependence structure between the innovations and by-claims. In the presence of heavy tails, we obtain a series of uniform formulas in finite and infinite intervals. In order to better describe the obtained results, we carry on the numerical simulations. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index