随机截断数据的非参数积累生存风险估计的强相合性

Strong Consistency for Nonparametric Cumulative Survival Hazard Estimation from Randomly Censored Data

本文讨论了对于随机截断数据情形,积累生存风险 A(t)的 Nelson 估计和 Peterson 估计的强相合性,并得到其收敛速度为 O(n~.(-1/2)ln^(1/2)n)。

In this paper,the strong consistent properties of Nelson estimator and Peterson estimator of the cumulative survival hazard A(t)based on randomly censored data are investigatcd,and their almost sure consistent rates are given by O(n^(-1/2)(lnn)^(1/2)).