期刊文献+

经济环境下带扩散扰动古典风险过程的破产概率 被引量:3

Ruin probability for the classical risk process perturbed by diffusion in an economic environment
下载PDF
导出
摘要 对于经济环境下带扩散扰动古典风险过程的重要性质进行了讨论,给出了有限时间的破产概率的上界估计. The paper studies a very important property for the present value of classical risk process perturbed by diffusion in an economic environment. An estimation of upper bound on ruin probability with finite horizon is obtained.
作者 吕玉华 吴荣
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2007年第3期270-274,共5页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(10571072 10471076) 山东省自然科学基金(Y2004A06) 曲阜师范大学校基金
关键词 利息力度 经济因子 布朗运动 古典风险模型 破产概率 interest force economic factor Brownian motion classical risk process ruin probability
  • 相关文献

参考文献9

  • 1Chiu S N,Yin Chuancun.The time ofruin,the surplus prior to ruin and the deficit at ruin for the classical risk processperturbed by diffusion[J].Insurance:Mathematics and Economics,2003,33(1):59-66.
  • 2Delbaen F,Haezendonck J.Classical risk theory in an economicenvironment[J].Insurance:Mathematics and Economics,1987,6(1):85-116.
  • 3Dufresne F,Gerber H U.Risk theory for the compound Poisson process that is perturbed bydiffusion[J].Insurance:Mathematics and Economics,1991,10(1):51-59.
  • 4Grandell J.Aspects of Risk Theory[M].New York:Springer-Verlag,1991.
  • 5Halmos P R.Measure Theory[M].New York:Springer-Verlag,1970.
  • 6Revuz D,Yor M.Continuous Martingales and BrownianMotion[M].Berlin:Springer-Verlag,1991.
  • 7Ross S M.Stochastic Processes[M].New York:Wiley,1982.
  • 8Wang Guojing,Wu Rong.Some distribution for classical risk process perturbed bydiffusion[J].Insurance:Mathematics and Economics,2000,26(1):15-24.
  • 9Zhang Chunsheng,Wang Guojing.The joint density function of three characteristics onjump-diffusion risk process[J].Insurance:Mathematics and Economics,2003,32(3):445-455.

同被引文献19

引证文献3

二级引证文献7

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部