The Generalized Odd Log-Logistic Fréchet Distribution for Modeling Extreme Values

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-09-10 DOI:10.18187/pjsor.v18i3.2902

Rania Hassan Abd El Khaleq

引用次数: 0

Abstract

We introduce a new extension of the Fréchet distribution for modeling the extreme values. The new model generalizes eleven distributions at least, ﬁve of them are quite new. Some important mathematical properties of the new model are derived. We assess the performance of the maximum likelihood estimators (MLEs) via a simulation study. The new model is better than some other important competitive models in modeling the breaking stress data, the glass ﬁbers data and the relief time data.

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极值建模的广义奇对数Logistic-Fréchet分布

我们引入了Fréchet分布的一个新扩展，用于对极值进行建模。新模型至少概括了11个分布，其中5个是相当新的。导出了新模型的一些重要数学性质。我们通过模拟研究评估了最大似然估计量（MLE）的性能。新模型在断裂应力数据、玻璃纤维数据和释放时间数据的建模方面优于其他一些重要的竞争模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.