期刊文献+

带利率的特殊双险种风险模型的破产概率 被引量:12

THE RUIN PROBABILITIES OF A SPECIAL DOUBLE TYPE-INSURANCE RISK MODEL WITH INTEREST
下载PDF
导出
摘要 研究了保费为一复合随机过程且含利率因素的特殊双险种风险模型,给出了此模型下保险公司稳定经营的必要条件;证明了调节系数的存在性;用鞅方法讨论了此模型的破产概率上界. A special double type-insurance risk model with interest and whose premium is a compound stochastic process was discussed.The necessary conditions of the insurance company s stable managemen were given.The existance of this model s adjustment coefficient was proved.The upper bounds of the ruin probabilities was discussed by using martingales method.
出处 《经济数学》 北大核心 2009年第4期84-90,共7页 Journal of Quantitative Economics
基金 陕西省教育厅专项科研基金资助项目(06JK152)
关键词 利率 破产概率 鞅方法 双险种 interest ruin probabilities martingales method double type-insurance
  • 相关文献

参考文献3

二级参考文献24

  • 1Asmussen, S. Subexponential asymptotic for stochastic processes: extremal behavior, stationary distributions and first passage probabilities. Ann. Appl. Probab., 8(2): 354-374 (1998).
  • 2Cline, D.B.H., Samorodnitsky, G. Subexponcntiality of the product of independent random variables.Stochastic Process. Appl., 49(1): 75-98 (1994).
  • 3Dufresne, F., Gerber, H. Risk theory for tile compound poisson process that is perturbed by diffusion.Insurance Math. Econom., 20(10): 51-59 (1991).
  • 4Embrechts, P., Kluppelberg, C., Mikosch, T.Modelling extremal events for insurance and finance. Springer-Verlag, Berlin, 1997.
  • 5Embrechts, P., Goldie, Charles M., Veraverbeke, Noel. Snbexponentiality and infinite divisibility. Z,Wahrsch. Verw. Gebiete, 49(3):334-347 (1979).
  • 6Klebaner, F. Introduction to stochastic calculus with applications. Imperial College Press, London, 1998.
  • 7Karatzas,I., Shreve, S. Brownian motion and stochastic calculus. Springer-Verlag, Berlin, 1988.
  • 8Kluppelberg,, Stadtmuller, U. Ruin probabilities in the presence of heavy-tails and interest rates. Scand.Actuar. J., 1:49-58 (1998).
  • 9Konstantinides, D.G., Tang, Q.H., Tsitsiashvili, G.Sh. Estimates for the ruin probability in the classical risk model with constant interest force in the presence of heavy tails.Insurance Math. Econom., 31(3):447-460 (2002).
  • 10Resnick, S.I., Willekens, E. Moving averages with random coefficients and random coefficient autoregressive models. Comm. Statist. Stochastic Models, 7(4): 511=525 (1991).

共引文献12

同被引文献64

引证文献12

二级引证文献13

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