Analysis of Survival Data by a Weibull-generalized Sibuya Distribution

IF 0.6 Q4 STATISTICS & PROBABILITY

Austrian Journal of Statistics Pub Date : 2022-08-22 DOI:10.17713/ajs.v51i3.1273

F. Almathkour, M. E. Ghitany, Ramesh C. Gupta, J. Mazucheli

引用次数: 1

Abstract

In this paper, we consider a survival model of a series system with random sample size, Z. Such a situation arises in competing risk analysis where the number of causes of failure is random and only the minimum of the survival times due to various causes is observed. Considering the distribution of Z as generalized Sibuya and the baseline distribution as Weibull, a Weibull-generalized Sibuya distribution is derived. The structural properties of the proposed model are studied along with the maximum likelihood estimation of the parameters. Extensive simulation studies are carried out to study the performance of the estimators. For illustration, two real data sets are analyzed and it is shown that the proposed model fits better than some of the existing models.

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用Weibull-generalized Sibuya分布分析生存数据

本文考虑一个随机样本量为z的系列系统的生存模型。在竞争风险分析中，失效原因的数量是随机的，并且只观察到各种原因导致的生存时间的最小值。考虑Z的分布为广义Sibuya，基线分布为Weibull，导出了Weibull-广义Sibuya分布。研究了模型的结构特性，并对模型参数进行了极大似然估计。为了研究估计器的性能，进行了大量的仿真研究。为了说明这一点，对两个真实数据集进行了分析，结果表明所提出的模型比现有的一些模型拟合得更好。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Austrian Journal of Statistics STATISTICS & PROBABILITY-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Austrian Journal of Statistics is an open-access journal (without any fees) with a long history and is published approximately quarterly by the Austrian Statistical Society. Its general objective is to promote and extend the use of statistical methods in all kind of theoretical and applied disciplines. The Austrian Journal of Statistics is indexed in many data bases, such as Scopus (by Elsevier), Web of Science - ESCI by Clarivate Analytics (formely Thompson & Reuters), DOAJ, Scimago, and many more. The current estimated impact factor (via Publish or Perish) is 0.775, see HERE, or even more indices HERE. Austrian Journal of Statistics ISNN number is 1026597X Original papers and review articles in English will be published in the Austrian Journal of Statistics if judged consistently with these general aims. All papers will be refereed. Special topics sections will appear from time to time. Each section will have as a theme a specialized area of statistical application, theory, or methodology. Technical notes or problems for considerations under Shorter Communications are also invited. A special section is reserved for book reviews.