Bayesian analysis of an additive survival model with frailty

Bayesian analysis of an additive survival model with frailty
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DOI:
10.1081/sta-200031490
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发表时间:
2004-10-01
影响因子:
0.8
通讯作者:
Amaral-Turkman, MA
Amaral-Turkman, MA
中科院分区:
数学4区
文献类型:
--
作者:
Silva, GL;Amaral-Turkman, MA

文献摘要

被引文献

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带有可加风险函数的生存模型(如Aalen线性模型)一直被认为是删失数据分析中最常见的Cox模型的替代或补充模型。Aalen模型的一个优点是允许每个协变量的影响随着时间的推移而单独变化。本文提出了一种基于计数过程的相加生存模型,该模型将相加脆弱性引入到强度中,以解释由于研究中未观察到的危险因素或个体之间的相关性而导致的数据的异质性。从贝叶斯的角度分析了可加性脆性模型,并用两个著名的数据集进行了说明。
There has been some interest in survival models with additive hazard function (e.g., the Aalen's linear model), which is considered an alternative or supplementary model to the most common Cox model in analysis of censored data. One advantage of the Aalen's model is to allow the influence of each covariate to vary separately over time. In this article, an additive survival model, based on counting processes, is presented introducing additive frailties into the intensity in order to account for the heterogeneity of the data due to unobserved risk factors or dependence among individuals in study. The additive frailty model is analyzed under a Bayesian point of view and illustrated by two well-known data sets.