Asymptotically optimal estimation of smooth functionals for interval censoring, part 2

Asymptotically optimal estimation of smooth functionals for interval censoring, part 2
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区间删失的平滑泛函的渐近最优估计,第 2 部分

DOI:
10.1111/1467-9574.00050
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发表时间:
1997
期刊:
影响因子:
--
通讯作者:
P. Groeneboom
P. Groeneboom
中科院分区:
--
文献类型:
--
作者:
R. Geskus;P. Groeneboom

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研究了区间删失模型中的参数估计问题。引入了一类光滑泛函,并以均值为例。我们考虑情况2,对于每个不可观测事件时间有两个观测时间,在观测时间不能任意彼此接近的情况下。证明了该泛函的非参数极大似然估计渐近达到信息下界。
Estimation in the interval censoring model is considered. A class of smooth functionals is introduced, of which the mean is an example. We consider case 2, with two observation times for each unobservable event time, in the situation that the observation times cannot become arbitrarily close to each other. It is proved that the nonparametric maximum likelihood estimator of the functional asymptotically reaches the information lower bound.