Sun J
Department of Statistics and Actuarial Science, University of Waterloo, Ontario Canada.
Biometrics. 1995 Sep;51(3):1096-104.
In this paper we discuss the non-parametric estimation of a distribution function based on incomplete data for which the measurement origin of a survival time or the date of enrollment in a study is known only to belong to an interval. Also the survival time of interest itself is observed from a truncated distribution and is known only to lie in an interval. To estimate the distribution function, a simple self-consistency algorithm, a generalization of Turnbull's (1976, Journal of the Royal Statistical Association, Series B 38, 290-295) self-consistency algorithm, is proposed. This method is then used to analyze two AIDS cohort studies, for which direct use of the EM algorithm (Dempster, Laird and Rubin, 1976, Journal of the Royal Statistical Association, Series B 39, 1-38), which is computationally complicated, has previously been the usual method of the analysis.
在本文中，我们讨论基于不完全数据的分布函数的非参数估计，在这些数据中，生存时间的测量起点或研究中的入组日期仅已知属于某个区间。此外，感兴趣的生存时间本身是从截断分布中观察到的，并且仅知道其位于某个区间内。为了估计分布函数，我们提出了一种简单的自一致性算法，它是Turnbull（1976年，《皇家统计学会杂志》，B辑38卷，290 - 295页）自一致性算法的推广。然后，该方法被用于分析两项艾滋病队列研究，对于这两项研究，之前通常使用计算复杂的EM算法（Dempster、Laird和Rubin，1976年《皇家统计学会杂志》，B辑39卷，1 - 38页）进行直接分析。
