标题： 多阈值加速失效时间模型 显示英文标题

标题： Multi-threshold Accelerate Failure Time Model

摘要： 一种用于在分段加速失效时间（AFT）模型中同时检测多个阈值并实现模型选择的两阶段过程在本文中被开发。 在第一阶段，我们将阈值问题形式化为一个组模型选择问题，以便可以应用凹2范数组选择方法。 在第二阶段，通过精炼方法最终确定阈值。 在一些温和的技术条件下，我们建立了阈值估计和回归系数估计的强一致性。 所提出的程序在我们的广泛模拟研究中表现良好。 通过分析一个滤泡性淋巴瘤数据，展示了其在现实世界中的适用性。 显示英文摘要

摘要： A two-stage procedure for simultaneously detecting multiple thresholds and achieving model selection in the segmented accelerate failure time (AFT) model is developed in this paper. In the first stage, we formulate the threshold problem as a group model selection problem so that a concave 2-norm group selection method can be applied. In the second stage, the thresholds are finalized via a refining method. We establish the strong consistency of the threshold estimates and regression coefficient estimates under some mild technical conditions. The proposed procedure performs satisfactorily in our extensive simulation studies. Its real world applicability is demonstrated via analyzing a follicular lymphoma data.