表格式生存模型中特殊情形B的两种估计

Two Estimates of Special Case B of Form Survival Model

表格式生存模型理论对于保险精算领域中进行生命表的设计具有极其重要的意义.在单损失环境下,对表格式生存模型中特殊情形B的分组样本,通过均匀分布假设、指数分布假设及双曲线分布假设,分别给出了死亡概率的矩估计量和极大似然估计量.经验证发现,依据均匀分布假设的两种估计量具有同一表达式,死亡概率的六种估计值在数值上具有良好的近似程度.

The theory form survival model of carries on the life tables regarding the field of accuracy in the design to have extremely vital significance. Under the single-decrement environment, synchronizes watches in the form survival model the special case B grouping samples, through the uniform distribution supposition, the exponential distribution supposition and the hyperbolic distribution supposition, have separately given the death probability moment estimators and the maximum likelihood estimators. After the confirmation,discovers two kinds of estimators based on the uniform distribution supposition have the same expressions, six kinds of death probabilites estimated values have a good approximate degree in value.