贝叶斯生存模型的终生虚弱诱导长期幸存者

IF 1.4 3区数学 Q2 STATISTICS & PROBABILITY

Statistica Neerlandica Pub Date : 2021-02-05 DOI:10.1111/stan.12236

V. Cancho, Gladys D. C. Barriga, G. Cordeiro, E. Ortega, A. K. Suzuki

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引用次数: 3

摘要

引入了比例风险脆弱性模型，使脆弱性变量具有离散分布。零脆弱可以解释为免疫或治愈。它被定义为一类由具有混合泊松分布的离散脆弱性引起的生存模型，它可以解释未观察到的分散。此外，构建了一个新的回归来评估协变量在固化分数中的影响。一些以前的治愈生存模型是所提出的建模框架的特殊情况。推理方法是基于贝叶斯方法。给出了一些仿真结果来评估新回归的性能。它的重要性通过结直肠癌数据的应用来说明。

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Bayesian survival model induced by frailty for lifetime with long‐term survivors

It is introduced the proportional hazards frailty model to allow a discrete distribution for the frailty variable. Frailty zero can be interpreted as being immune or cured. It is defined a class of survival models induced by a discrete frailty having a mixed Poisson distribution, which can account for unobserved dispersion. Further, a new regression to evaluate the effects of covariates in the cure fraction is constructed. Several former cure survival models are special cases of the proposed modeling framework. The inferential approach is based on Bayesian methods. Some simulation results are provided to assess the performance of the new regression. Its importance is illustrated by means of an application to colorectal cancer data.

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来源期刊

Statistica Neerlandica 数学-统计学与概率论

CiteScore

2.60

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Statistica Neerlandica has been the journal of the Netherlands Society for Statistics and Operations Research since 1946. It covers all areas of statistics, from theoretical to applied, with a special emphasis on mathematical statistics, statistics for the behavioural sciences and biostatistics. This wide scope is reflected by the expertise of the journal’s editors representing these areas. The diverse editorial board is committed to a fast and fair reviewing process, and will judge submissions on quality, correctness, relevance and originality. Statistica Neerlandica encourages transparency and reproducibility, and offers online resources to make data, code, simulation results and other additional materials publicly available.