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A pool-adjacent-violators type algorithm for non-parametric estimation of current status data with dependent censoring

机译:具有依赖检查的非状态估计当前状态数据的池相邻违反者类型算法

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摘要

A likelihood based approach to obtaining non-parametric estimates of the failure time distribution is developed for the copula based model of Wang et al. (Lifetime Data Anal 18:434-445,2012) for current status data under dependent observation. Maximization of the likelihood involves a generalized pool-adjacent violators algorithm. The estimator coincides with the standard non-parametric maximum likelihood estimate under an independence model. Confidence intervals for the estimator are constructed based on a smoothed bootstrap. It is also shown that the non-parametric failure distribution is only identifiable if the copula linking the observation and failure time distributions is fully-specified. The method is illustrated on a previously analyzed tumorigenicity dataset.
机译:对于Wang等人的基于copula的模型,开发了一种基于可能性的方法来获取故障时间分布的非参数估计。 (Lifetime Data Anal 18:434-445,2012)进行依赖观察下的当前状态数据。可能性的最大化涉及广义池邻近违反者算法。估计器与独立性模型下的标准非参数最大似然估计一致。估计器的置信区间是基于平滑的引导程序构造的。还表明,只有将观察与故障时间分布联系在一起的copula是完全指定的,才能确定非参数故障分布。在先前分析的致瘤性数据集上说明了该方法。

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