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

Authors :
Zou, Lei
Peng, Jiangyan
Jiang, Zhiquan
Yang, Ruonan
Source :
Communications in Statistics: Theory & Methods; 2024, Vol. 53 Issue 5, p1624-1652, 29p
Publication Year :
2024

Abstract

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]

Details

Language :
English
ISSN :
03610926
Volume :
53
Issue :
5
Database :
Complementary Index
Journal :
Communications in Statistics: Theory & Methods
Publication Type :
Academic Journal
Accession number :
174795734
Full Text :
https://doi.org/10.1080/03610926.2022.2107223