Asymptotic behavior for finite-time ruin probabilities in a generalized bidimensional risk model with subexponential claims

Autor: Fengyang Cheng, Zhangting Chen, Dongya Cheng
Rok vydání: 2021
Předmět:
Zdroj: Japan Journal of Industrial and Applied Mathematics. 38:947-963
ISSN: 1868-937X
0916-7005
DOI: 10.1007/s13160-021-00472-0
Popis: Consider a generalized bidimensional continuous-time risk model with heavy-tailed claims and Brownian perturbations, in which the claim sizes from each line of business are dependent according to the dependence structure first proposed by [12] and later generalized by [21], while the claim-number processes from different lines of business are almost arbitrarily dependent. Under the assumption that the claim sizes have subexponential distributions, some asymptotic formulae are established for the finite-time ruin probabilities defined as the probabilities that ruin occurs in both two lines of business.
Databáze: OpenAIRE