Interval censored data: A note on the nonparametric maximum likelihood estimator of the distribution function
Interval censored data: A note on the nonparametric maximum likelihood estimator of the distribution function
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DOI：
10.1093/biomet/83.2.462
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发表时间：
1996-06-01
期刊：
影响因子：
2.7
通讯作者：
Dietz, E
中科院分区：
文献类型：
--
作者：
Bohning, D;Schlattmann, P;Dietz, E
Gentleman & Geyer (1994) 讨论了区间删失数据的分析，并基于标准凸优化理论给出了结果。这里，从指示函数的混合问题的角度来看这个问题，使用与混合分布问题的类比，很容易得出各种结果，包括最大似然估计器的表征定理和各种可靠收敛的算法。用于分析混合分布的软件可用于查找区间删失生存时间的分布函数的非参数估计。提供了示例来证明该理论。
Gentleman & Geyer (1994) discuss the analysis of interval censored data and present results based on standard convex optimisation theory. Here, this problem is viewed from the perspective of a mixing problem of indicator functions, Using an analogy with the problem of mixture distributions a variety of results are easily derived, including a characterisation theorem for the maximum likelihood estimator and various reliably convergent algorithms. Software for the analysis of mixture distributions can be used to find the nonparametric estimate of the distribution function of the interval-censored survival time. Examples are provided to demonstrate the theory.