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.
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This work was supported by National Science Foundation of China (NO. 10671139, 11071182), Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 10KJB110010) and the research foundation of SUST.
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Wang, K., Wang, Y. & Gao, Q. Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate. Methodol Comput Appl Probab 15, 109–124 (2013). https://doi.org/10.1007/s11009-011-9226-y
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DOI: https://doi.org/10.1007/s11009-011-9226-y