On Joint Ruin Probabilities of a Two-Dimensional Risk Model with Constant Interest Rate

On Joint Ruin Probabilities of a Two-Dimensional Risk Model with Constant Interest Rate
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DOI:
10.1239/jap/1371648943
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发表时间:
2011-05
影响因子:
1
通讯作者:
Zechun Hu;Bin Jiang
Zechun Hu;Bin Jiang
中科院分区:
数学4区
文献类型:
--
作者:
Zechun Hu;Bin Jiang

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本文考虑了Avram,Palmowski and Pistorius(2008)提出的具有常数利率的二维风险模型。得到了拉普拉斯变换的积分微分方程,以及有限时间破产概率分别关于联合破产时间Tmax(u1,u2)和Tmin(u1,u2)的渐近表达式.
In this note we consider the two-dimensional risk model introduced in Avram, Palmowski and Pistorius (2008) with constant interest rate. We derive the integral-differential equations of the Laplace transforms, and asymptotic expressions for the finite-time ruin probabilities with respect to the joint ruin times T max(u 1,u 2) and T min(u 1,u 2) respectively.