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摘要翻译：
引入了Cox比例风险模型回归参数的一类估计函数，以允许某些研究对象出现未知的失效状态。在温和的条件下建立了所得估计量的相合性和渐近正态性。构造了一个达到类的最小方差-协方差界的自适应估计器。数值研究表明，渐近逼近法在实际应用中是足够的，而且自适应估计器在完全情形分析中的效率增益是相当可观的。对于同质种群生存函数的非参数估计和Cox模型下累积基线危险函数的估计，也发展了类似的方法。
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英文标题：
《Non- and semi-parametric analysis of failure time data with missing
failure indicators》
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作者：
Irene Gijbels, Danyu Lin, Zhiliang Ying
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Statistics Theory 统计理论
分类描述：Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
应用统计、计算统计和理论统计：例如统计推断、回归、时间序列、多元分析、数据分析、马尔可夫链蒙特卡罗、实验设计、案例研究
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一级分类：Statistics 统计学
二级分类：Statistics Theory 统计理论
分类描述：stat.TH is an alias for math.ST. Asymptotics, Bayesian Inference, Decision Theory, Estimation, Foundations, Inference, Testing.
Stat.Th是Math.St的别名。渐近，贝叶斯推论，决策理论，估计，基础，推论，检验。
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英文摘要：
A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators are established under mild conditions. An adaptive estimator which achieves the minimum variance-covariance bound of the class is constructed. Numerical studies demonstrate that the asymptotic approximations are adequate for practical use and that the efficiency gain of the adaptive estimator over the complete-case analysis can be quite substantial. Similar methods are also developed for the nonparametric estimation of the survival function of a homogeneous population and for the estimation of the cumulative baseline hazard function under the Cox model.
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PDF链接：
https://arxiv.org/pdf/708.1058
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