一个具有长期幸存者和未观察到异质性的终生生存模型

IF 0.6 4区 数学 Q4 STATISTICS & PROBABILITY
A. D. E. Santo, V. Cancho
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引用次数: 0

摘要

. 本文建立了一个具有Katz分布的离散脆弱性诱导的新生存模型。新模型包含了混合固固率模型和促进固固率模型作为特殊情况,并且当协变量通过平均脆弱性建模时具有比例风险结构。此外,我们构建了一个回归模型来评估协变量对治愈率和感兴趣事件风险的影响。我们在经典方法中讨论了所提出模型的推理方面,其中开发了期望最大化算法来确定模型参数的最大似然估计。最后,用宫颈癌数据集充分说明了该模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A survival model for lifetime with long-term survivors and unobserved heterogeneity
. In this paper, we develop a new survival model induced by discrete frailty with Katz distribution. The new model encompasses as particular cases the mixture cure rate model and promotion cure rate model and has a proportional hazards structure when the covariates are modeled through mean frailty. Furthermore, we construct a regression model to evaluate the effects of covariates on both the cured fraction and risk of the event of interest. We discuss inference aspects of the proposed model in a classical approach, where an expectation maximization algorithm is developed to determine the maximum likelihood estimates of the models parameters. Finally, the model is fully illustrated with a dataset on cervical cancer.
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来源期刊
CiteScore
1.60
自引率
10.00%
发文量
30
审稿时长
>12 weeks
期刊介绍: The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.
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