竞争风险场合二元生存函数的非参数估计

Nonparametric Estimation of Bivariate Survival Function Under the Competing Risks Case

在文献[1～3]的基础上,讨论了竞争风险场合二元生存函数的非参数估计问题,通过二元生存函数的分解给出了估计的具体表达式,并证明估计是强相合的,从而将文献[1～3]的结果推广到竞争风险情形。

Estimation of the bivariate survival function under the competing risks case is considered. We give an explicit formula for the estimator from a decomposition of the bivariate survival function based on the results of papers [1～3], which is almost sure consistent and extension of papers [1～3]