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Mathematical Basis of Idea That Harmonious Marriage Can Lengthen Life-span

Mathematical Basis of Idea That Harmonious Marriage Can Lengthen Life-span
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摘要 It is a very important issue for us to explore the effects of the marriage to life. In recent years, many scholars have proved that the marriage can lengthen life-span from different angles. With the development of theory of dependence random variables, we discuss the effects of the marriage to life and provide a mathematical basis of the idea that the harmonious marriage can lengthen life-span in this paper. Meanwhile, we analyze the impact of the marriage on life on the basis of the net single premium. It is a very important issue for us to explore the effects of the marriage to life. In recent years, many scholars have proved that the marriage can lengthen life-span from different angles. With the development of theory of dependence random variables, we discuss the effects of the marriage to life and provide a mathematical basis of the idea that the harmonious marriage can lengthen life-span in this paper. Meanwhile, we analyze the impact of the marriage on life on the basis of the net single premium.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2009年第2期321-326,共6页 应用数学学报(英文版)
基金 Supported by the Natural Science Foundation of Fujian(S0650038) Technologic innovation Foundation of Xiamen University(K70001)
关键词 MARRIAGE joint-life status last survivor status COMONOTONICITY copula Marriage joint-life status last survivor status comonotonicity copula
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参考文献6

  • 1Ching-Syang Jack Yue. Can marriage lengthen human's life? -empirical study of Taiwan and U.S.A., 2006, http: //csyue.nccu.edu.tw.
  • 2Denuit, M., Dhaene, J., Vyncke, D., Goonaerts, M., Kass, R., Actuarial theory for dependent risks. John Wiley &: Sons, Ltd, 2005, 191-242
  • 3Dhaene, J., Vanneste, M., Wolthuis, H. A note dependencies in multiple life statuses. Bulletin of the Swiss Association of Actuaries, 19-34 (2002)
  • 4Dublin, L.I., Lotka, A.J., Spiegelman, M. Length of life. Ronald Press, New York, 1940
  • 5Nelsen, R.B. An introduction to copulas. (2nd ed.) Springer-Verlag, New York, 2006
  • 6Trowbridge, C.L. Mortality rates by marital status. Transactions, Society of Actuaries, 1994, Vol.Ⅵ. 99-122

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