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On the ruin probability in a dependent discrete time risk model with insurance and financial risks
Authors:Yang Yang,Remigijus Leipus,Jonas &Scaron  iaulys
Affiliation:1. School of Mathematics and Statistics, Nanjing Audit University, Nanjing 210029, China;2. Department of Mathematics, Southeast University, Nanjing 210096, China;3. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, Vilnius LT-03225, Lithuania;4. Institute of Mathematics and Informatics, Vilnius University, Akademijos 4, Vilnius LT-08663, Lithuania
Abstract:This paper considers the discrete-time risk model with insurance risk and financial risk in some dependence structures. Under assumptions that the insurance risks are heavy tailed (belong to the intersection of the long-tailed class and the dominatedly varying-tailed class) and the financial risks satisfy some moment conditions, the asymptotic and uniformly asymptotic relations for the finite-time and ultimate ruin probabilities are derived.
Keywords:primary, 62P05   secondary, 62E20, 60F10
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