竞争风险累积发生率函数的约束估计
Restricted estimation of the cumulative incidence functions corresponding to competing risks
摘要：
在竞争风险问题中，累积发生率函数（CIF）扮演着重要的角色，其在时间$t$的值是在存在其他风险的情况下，特定类型的失效在时间$t$的失效概率。在某些情况下，有理由相信，由于各种类型的故障的CIF是线性排序的。El Barmi等人[3]研究了当只有两个故障原因时，在这种顺序下的估计和推理过程。在本文中，我们将结果推广到$k$ CIF的情况，其中$k\ge3$。尽管分析更具挑战性，但我们发现2样本病例中的大多数结果可延续至该$k$样本病例。
英文摘要：
In the competing risks problem, an important role is played by the cumulative incidence function (CIF), whose value at time $t$ is the probability of failure by time $t$ from a particular type of failure in the presence of other risks. In some cases there are reasons to believe that the CIFs due to various types of failure are linearly ordered. El Barmi et al. [3] studied the estimation and inference procedures under this ordering when there are only two causes of failure. In this paper we extend the results to the case of $k$ CIFs, where $k\ge3$. Although the analyses are more challenging, we show that most of the results in the 2-sample case carry over to this $k$-sample case.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
