Lundberg-type inequalities for non-homogeneous risk models

Bibliographic Details
Title: Lundberg-type inequalities for non-homogeneous risk models
Authors: Zhou, Qianqian, Sakhanenko, Alexander, Guo, Junyi
Publication Year: 2020
Collection: Mathematics
Subject Terms: Mathematics - Probability
More Details: In this paper, we investigate the ruin probabilities of non-homogeneous risk models. By employing martingale method, the Lundberg-type inequalities of ruin probabilities of non-homogeneous renewal risk models are obtained under weak assumptions. In addition, for the periodic and quasi-periodic risk models the adjustment coefficients of the Lundberg-type inequalities are obtained. Finally, examples are presented to show that estimations obtained in this paper are more accurate and the ruin probability in non-homogeneous risk models may be fast decreasing which is impossible for the case of homogeneity.
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2004.11190
Accession Number: edsarx.2004.11190
Database: arXiv
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