标题： 广义删失下的风险估计 显示英文标题

标题： Hazard Estimation under Generalized Censoring

摘要： 本文聚焦于当数据点受到任意适应的随机集删失时，一般完全可分度量空间上分布的累积危险函数估计问题。 文中解决了涉及[8]和[9]中提出的估计器可观测性的一个问题，并为修正后的估计器证明了一个泛函中心极限定理。 讨论了若干例子与应用，并在每种情况下建立了自助法的有效性。 显示英文摘要

摘要： This paper focuses on the problem of the estimation of the cumulative hazard function of a distribution on a general complete separable metric space when the data points are subject to censoring by an arbitrary adapted random set. A problem involving observability of the estimator proposed in [8] and [9] is resolved and a functional central limit theorem is proven for the revised estimator. Several examples and applications are discussed, and the validity of bootstrap methods is established in each case.