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常利率环境下带干扰风险模型的破产估计 被引量:9

Ruin Estimates of Diffusion Models under Constant Interest Rate
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摘要 本文中,我们研究具有固定收益率或利率的带干扰的复合泊瓦松风险模型的破产概率,给出破产概率估计,及上下界. In this paper, we discuss infinite time ruin probabilities of a compound Poisson process that is petered by diffusion under constant interest force, give equation for ruin probability as well as approximation and upper, lower bounds.
出处 《应用概率统计》 CSCD 北大核心 2003年第1期79-84,共6页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金资助19971047.
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参考文献6

  • 1[1]Grandell, J., Aspect of Risk Theory, Springer-Verglag, New York, 1991.
  • 2[2]Dufresne, F., Gerber, H.U., Risk theory for the compound Poisson process that is perturbed by diffusion, Ins. Math Eco., 10(1991), 51-59.
  • 3[3]Sundt, B., Teugels, J.L., Ruin estimates under interest force, Ins. Math. Eco., 16(1995), 7-22.
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  • 5[5]Paulsen, J.. Gjessing, H.K., Ruin theory with stochastic return on inviestments, Adv. Appl. Prob., 29(1997), 965-985.
  • 6[7]Guojing Wang, A decomposition of the ruin probability for the risk process by diffusion, Ins. Math. Eco., 28(2001), 49-59.

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