Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate
Kaiyong Wang,
Yuebao Wang () and
Qingwu Gao
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Kaiyong Wang: Soochow University
Yuebao Wang: Soochow University
Qingwu Gao: Soochow University
Methodology and Computing in Applied Probability, 2013, vol. 15, issue 1, 109-124
Abstract:
Abstract This paper gives an asymptotically equivalent formula for the finite-time ruin probability of a nonstandard risk model with a constant interest rate, in which both claim sizes and inter-arrival times follow a certain dependence structure. This new dependence structure allows the underlying random variables to be either positively or negatively dependent. The obtained asymptotics hold uniformly in a finite time interval. Especially, in the renewal risk model the uniform asymptotics of the finite-time ruin probability for all times have been given. The obtained results have extended and improved some corresponding results.
Keywords: Uniform asymptotics; Finite-time ruin probability; Constant interest rate; Widely orthant dependent; 62P05; 62E10; 60F05 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (22)
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DOI: 10.1007/s11009-011-9226-y
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