Bayesian semiparametric models for survival data with a cure fraction
Bayesian semiparametric models for survival data with a cure fraction
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DOI：
10.1111/j.0006-341x.2001.00383.x
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发表时间：
2001-06-01
期刊：
影响因子：
1.9
通讯作者：
Sinha, D
中科院分区：
文献类型：
--
作者：
Ibrahim, JG;Chen, MH;Sinha, D
我们提出了一类新的具有治愈分数的半参数生存模型的贝叶斯推理方法。具体来说，我们提出了一个半参数治愈率模型，该模型具有平滑参数，该参数控制生存分布右尾部的参数化程度。我们表明，这样一个参数对于这些类型的模型是至关重要的，并且可以对后验估计产生影响。给出了该模型的几个新特性。此外，我们在此模型的基础上提出了一类不适当的非信息先验，并检验了隐含后验的性质。提出了一类基于历史数据的信息先验，并对其理论性质进行了研究。一个案例研究涉及黑色素瘤临床试验进行了详细讨论，以证明所提出的方法。
We propose methods for Bayesian inference for a new class of semiparametric survival models with a cure fraction. Specifically we propose a semiparametric cure rate model with a smoothing parameter that controls the degree of parametricity in the right tail of the survival distribution. We show that such a parameter is crucial for these kinds of models and can have an impact on the posterior estimates. Several novel properties of the proposed model are derived. In addition, we propose a class of improper noninformative priors based on this model and examine the properties of the implied posterior. Also, a class of informative priors based on historical data is proposed and its theoretical properties are investigated. A case study involving a melanoma clinical trial is discussed in detail to demonstrate the proposed methodology.