Local EM estimation of the hazard function for interval-censored data

Local EM estimation of the hazard function for interval-censored data
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DOI:
10.1111/j.0006-341x.1999.00238.x
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发表时间:
1999-03-01
期刊:
影响因子:
1.9
通讯作者:
Wand, MP
Wand, MP
中科院分区:
数学3区
文献类型:
--
作者:
Betensky, RA;Lindsey, JC;Wand, MP

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本文利用局部似然方法,提出了区间删失生存数据的光滑风险估计。该模型使用局部EM算法拟合。在信息集中的区域,该估计比传统的经验估计更具描述性,而在信息稀疏的区域,该估计具有参数化的特征。我们得到两个不同的标准误差估计的光滑曲线,一个基于渐近理论和其他的自助。我们举例说明了局部EM方法用于乳房美容恶化的时间(Finkelstein,1986,Biometrics 42,845-854)和用于血友病个体的HIV-1感染的时间(Kroner等人,1994,Journal of AIDS 7,279-286)。我们对这些数据集的风险估计显示了使用标准参数风险模型或经验生存率估计无法发现的有趣结构。
We propose a smooth hazard estimator for interval-censored survival data using the method of local likelihood. The model is fit using a local EM algorithm. The estimator is more descriptive than traditional empirical estimates in regions of concentrated information and takes on a parametric flavor in regions of sparse information. We derive two different standard error estimates for the smooth curve, one based on asymptotic theory and the other on the bootstrap. We illustrate the local EM method for times to breast cosmesis deterioration (Finkelstein, 1986, Biometrics 42, 845-854) and for times to HIV-1 infection for individuals with hemophilia (Kroner et al., 1994, Journal of AIDS 7, 279-286). Our hazard estimates for each of these data sets show interesting structures that would not be found using a standard parametric hazard model or empirical survivorship estimates.