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Estimating the survival functions for right-censored and interval-censored data with piecewise constant hazard functions

机译:估计具有分段恒定危险功能的右禁用和间隔义数据的生存功能

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摘要

The exponential distribution is frequently used to model the survival time of a patient population, which assumes the hazard rate to be a constant over time. This assumption is often violated as the hazard function may vary over time and exhibit one or more change points in its values. Several methods exist in the literature for detecting a single change point in a piecewise constant hazard function for right-censored data. A sequential testing approach to detecting multiple change points in the hazard function using likelihood ratio statistics and resampling is proposed, which is applicable to both right-censored and interval-censored data. Numerical results based on simulated survival data and a real example show that the proposed approach can accurately detect the change points in the hazard function for both right-censored and interval-censored data.
机译:指数分布经常用于模拟患者群体的存活时间,这假设危险率随着时间的推移是恒定的。 由于危险功能可能随时间变化并且在其值中展示一个或多个变化点而往往违反此假设。 文献中存在几种方法,用于检测分段恒定危险函数中的单个变化点,用于右缩短的数据。 提出了使用似然比统计和重采样检测危险函数中多个变化点的顺序测试方法,适用于右审查和间隔禁用的数据。 基于模拟生存数据和实例的数值结果表明,该方法可以准确地检测危险功能中的变化点,以便对右审查和间隔删除数据。

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