具有治愈率的对数对称模型及其在麻风反应数据中的应用

IF 0.6 4区 数学 Q4 STATISTICS & PROBABILITY
J. B. Rocha, F. Medeiros, Dione M. Valencca
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引用次数: 0

摘要

在本文中,我们提出了一个具有治愈分数的对数对称生存模型,考虑到易感个体的寿命分布属于对数对称分布类。该类具有连续的、严格正的和不对称的分布,包括对数正态分布、对数-$t$-Student分布、Birnbaum-Saunders分布、对数逻辑I、对数逻辑II分布、对数正态污染分布、对数指数幂分布和对数斜线分布。对数对称类是非常灵活的,并且允许包括双峰分布和异常值。这包括通过与固化分数相关联的参数的解释性变量。我们通过广泛的模拟研究评估了所提出的模型的性能,并考虑了一个真实的数据应用来评估各种因素对汉森病患者麻风病反应免疫力的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Log-symmetric models with cure fraction with application to leprosy reactions data
In this paper, we propose a log-symmetric survival model with cure fraction, considering that the distributions of lifetimes for susceptible individuals belong to the log-symmetric class of distributions. This class has continuous, strictly positive, and asymmetric distributions, including the log-normal, log-$t$-Student, Birnbaum-Saunders, log-logistic I, log-logistic II, log-normal-contaminated, log-exponential-power, and log-slash distributions. The log-symmetric class is quite flexible and allows for including bimodal distributions and outliers. This includes explanatory variables through the parameter associated with the cure fraction. We evaluate the performance of the proposed model through extensive simulation studies and consider a real data application to evaluate the effect of factors on the immunity to leprosy reactions in patients with Hansen's disease.
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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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