Cure rate models have been used in a number of fields. These models are applied to analyze survival data when the population has a proportion of subjects insusceptible to the event of interest. In this paper, we propose a new cure rate survival model formulated under a competing risks setup. The number of competing causes follows the negative binomial distribution, while for the latent times we posit the power piecewise exponential distribution. Samples from the posterior distribution are drawn through MCMC methods. Some properties of the estimators are assessed in a simulation study. A dataset on cutaneous melanoma is analyzed using the proposed model as well as some existing models for the sake of comparison.

中文翻译：

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基于幂级数指数分布的贝叶斯治愈率模型

治愈率模型已在许多领域中使用。当人群中有一定比例的受试者不感兴趣时​​，这些模型将用于分析生存数据。在本文中，我们提出了在竞争风险设置下制定的新治愈率生存模型。竞争原因的数量遵循负二项式分布，而对于潜在时间，我们假设幂级数呈指数分布。通过MCMC方法从后验分布中抽取样本。在模拟研究中评估了估计器的某些属性。为了进行比较，使用提出的模型以及一些现有模型对皮肤黑色素瘤的数据集进行了分析。