本文利用
Copula
函数刻画寿险中衰减因间以及个体之间的相依性,比较个体间独立情形与相依情形的联合生存分布。考虑相依多生命的一般对称状态在相依衰减因下的生存分布,并解释个体间相依性对一般对称状态的生存分布的影响。
In this paper, both dependencies in decrement causes and in lives in life insurance are depicted with the copula functions, and the joint survival functions of the multiple life are compared upon the cases of independence as well as dependence. A general symmetric status of multiple life under dependent causes of decrement is considered, and some influence caused by the dependence between the individuals on the survival functions of the general symmetric status is explained.
衰减因,多生命,生存分布,Copula函数, Decrement Causes Multiple Life Survival Function Copula Function一类相依衰减因多生命模型
蒋翠,王达布希拉图. 一类相依衰减因多生命模型A Sort of Multiple Life Model under Dependent Causes of Decrement[J]. 统计学与应用, 2015, 04(03): 169-175. http://dx.doi.org/10.12677/SA.2015.43019
参考文献 (References)ReferencesRibas, C., Marı́n-Solano, J. and Alegre, A. (2003) On the computation of the aggregate claims distribution in the indi-vidual life model with bivariate dependencies. Insurance: Mathematics and Economics, 32, 201-215.
<br>http://dx.doi.org/10.1016/S0167-6687(02)00210-XCarriere, J.F. (1994) Dependent decrement theory. Trans. Soc. Act., 46, 45-65.Kaishev, V.K., Dimitrova, D.S. and Haberman, S. (2007) Modelling the joint distribution of competing risks survival times using copula functions. Insurance: Mathematics and Economics, 41, 339-361.
<br>http://dx.doi.org/10.1016/j.insmatheco.2006.11.006Gasbarra, D., Kulathinal, S.B., Dewan, I. and Nissinen, A. (2006) Testing dependence between the failure time and failure modes: An application of enlarged filtration. Journal of Statistical Planning and Inference, 136, 1669-1686.
<br>http://dx.doi.org/10.1016/j.jspi.2005.07.002Tiwari, R., Kulasekera, K.B. and Park, C. (2006) Nonparametric tests for cause specific hazard rates with censored data for competing risks among several groups. Journal of Statistical Planning and Inference, 136, 1718-1745.
<br>http://dx.doi.org/10.1016/j.jspi.2004.12.016Nelsen, R.B. (2006) An introduction to copulas. 2nd Edition, Springer-Verlag, New York.Gerber, H.U. (1997) Life insurance mathematics. Spring-Verlag.