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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 41, Fasc. 2,
pages 217 - 235
DOI: 10.37190/0208-4147.41.2.2
Published online 2.9.2021
 

Exponential bounds of ruin probabilities for non-homogeneous risk models

Qianqian Zhou
Alexander Sakhanenko
Junyi Guo

Abstract:

Lundberg-type inequalities for ruin probabilities of non-homogeneous risk models are presented. By employing the martingale method, upper bounds of ruin probabilities are obtained for general risk models under weak assumptions. In addition, several risk models, including the newly defined united risk model and a quasi-periodic risk model with interest rate, are studied.

2010 AMS Mathematics Subject Classification: Primary 91G05; Secondary 60K10.

Keywords and phrases: non-homogeneous risk model, martingale method, ruin probability, Lundberg-type inequality.

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