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随机利率场合下一类离散时间模型的破产概率 被引量:7

On the ruin probability in the discrete risk model with stochastic interest rate
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摘要 研究了带有随机利率的一个离散时间风险模型中的破产概率,得到了在通货膨胀和通货紧缩条件下关于破产概率的若干定性结果,所得结果推广了常数利率下经典模型的相应结果. A study of ruin probabilities in a discrete time risk model with stochastic rate is made in this paper. Some results for ruin probabilities are obtained in cash inflation and case condensation. Moreover, an iterate formula has also been proposed by which we ruin probabilities in finite time can be calculated. The results obtained generalize the classical models with constant rate.
作者 江涛 王家琪
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第4期5-7,共3页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金(10071081) 国家统计科学研究(LX0317)资助项目
关键词 破产概率 随机利率 随机模拟 ruin probability stochastic interest rate stochastic simulation
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参考文献6

  • 1Waters H R. Probability of ruin for a risk process with claims cost inflation[J]. Scand Actuarial Journal, 1983, 2: 148-164.
  • 2Sundt B, Teugels J L. Ruin estimates under interest force[J]. Insurance: Mathematics and Economics,1995, 16: 7-22.
  • 3Sundt B, Teugels J L. The adjustment function in ruin estimates under interest force[J]. Insurance:Mathematics and Economics, 1997, 19: 85-94.
  • 4Yang H, Zhang L H. The joint distribution of surplus immediately before ruin and the deficit at ruin under interest force[J]. North American Actuarial Journal, 2001, 53: 92-103.
  • 5Embrechts P, Kluppelberg C, Mikosh T. Extremal Events in Finance and Insurance[M]. New York:Springer, 1997.
  • 6Embrechts P, Veraverbeke N. Estimates for the probability of ruin with special emphasis on the possibility of large claims[J]. Insurance: Mathematics and Economics, 1982, 1: 55-72.

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