| 分数年龄生存函数的估计 |
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| 引用本文： | 寇吉垚.分数年龄生存函数的估计[J].应用数学与计算数学学报,2010,24(2):119-123. |
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| 作者姓名： | 寇吉垚 |
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| 作者单位： | 浙江大学理学院数学系,杭州310058 |
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| 摘 要： | 本文主要讨论了生存函数的插值问题,使用了非节点端点的三次样条插值和α-power插值两种方法对生存函数进行了插值,并与传统的三种插值假设：死亡均匀分布假设、常数死亡力假设、Balducci假设做了比较.另外,我们对α-power插值中的α进行了拟合,并通过误差分析表明先对α拟合后再进行α-power插值,其插值的误差将会变得非常小,几乎与样条插值相仿.
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| 关 键 词： | 生存函数 非节点端点的三次样条插值 α-power插值 |
The Estimation of Survival Function on Fractional Point |
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| Kou Jiyao.The Estimation of Survival Function on Fractional Point[J].Communication on Applied Mathematics and Computation,2010,24(2):119-123. |
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| Authors: | Kou Jiyao |
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| Institution: | Kou Jiyao Department of Mathematics,Zhejiang University,Hangzhou, 310058,China |
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| Abstract: | This paper mainly discusses the interpolation of survival function,using non-endpoint nodes cubic spline interpolation and a-power interpolation and comparing them with three traditional interpolation assumption：linear interpolation under uniform distribution of deaths（UDD） assumption,interpolation under constant power of death assumption and interpolation under Baldacci assumption.In addition,this paper fits on a first when using a-power interpolation and error analysis shows that by fitting onαfirst,the interpolation error can be very small. |
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| Keywords: | survival function non-endpoint nodes cubic spline interpolation alpha-power interpolation |
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