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The finite-time ruin probability of a risk model with stochastic return and Brownian perturbation.

Authors :
Wang, Kaiyong
Chen, Lamei
Yang, Yang
Gao, Miaomiao
Source :
Japan Journal of Industrial & Applied Mathematics; Nov2018, Vol. 35 Issue 3, p1173-1189, 17p
Publication Year :
2018

Abstract

This paper investigates a renewal risk model with stochastic return and Brownian perturbation, where the price process of the investment portfolio is described as a geometric Lévy process. When the claim sizes have a subexponential distribution, we derive the asymptotics for the finite-time ruin probability of the above risk model. The obtained result confirms that the asymptotics for the finite-time ruin probability of the risk model with heavy-tailed claim sizes are insensitive to the Brownian perturbation. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09167005
Volume :
35
Issue :
3
Database :
Complementary Index
Journal :
Japan Journal of Industrial & Applied Mathematics
Publication Type :
Academic Journal
Accession number :
132696810
Full Text :
https://doi.org/10.1007/s13160-018-0321-0