Generalization method of generating the continuous nested distributions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-05-20 DOI:10.1515/ijnsns-2021-0231

Mian Muhammad Farooq, Muhammad Mohsin, M. Farman, A. Akgül, M. Saleem

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引用次数: 2

Abstract

Abstract In many life time scenarios, life of one component or system nested in other components or systems. To model these complex structures some so called nested models are required rather than conventional models. This paper introduces the generalization of the method of generating continuous distribution proposed by N. Eugene, C. Lee, and F. Famoye, “Beta-normal distribution and its applications,” Commun. Stat. Theor. Methods, vol. 31, no. 4, pp. 497–512, 2002 and A. Alzaatreh, C. Lee, and F. Famoye, “A new method for generating families of continuous distributions,” Metron, vol. 71, no. 1, pp. 63–79, 2013 which nest one model in other to cope with complex systems. Some important characteristics of the proposed family of generalized distribution have been studied. The famous Beta, Kumaraswami and Gamma generated distributions are special cases of our suggested procedure. Some new distributions have also been developed by using the suggested methodology and their important properties have been discussed as well. A variety of real life data sets are used to demonstrate the efficacy of new suggested distributions and illation is made with baseline models.

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生成连续嵌套分布的泛化方法

在许多生命周期场景中，一个组件或系统的生命周期嵌套在其他组件或系统中。为了对这些复杂的结构进行建模，需要一些所谓的嵌套模型，而不是传统的模型。本文介绍了N. Eugene, C. Lee和F. Famoye在“beta -正态分布及其应用”中提出的生成连续分布方法的推广。统计理论的。方法，第31卷，第5期。A. Alzaatreh、C. Lee和F. Famoye，“连续分布族生成的一种新方法”，《数学学报》，第71卷，第1期。1, pp. 63 - 79,2013，其中一个模型嵌套在另一个模型中以应对复杂系统。本文研究了广义分布族的一些重要特征。著名的Beta、Kumaraswami和Gamma生成的分布是我们建议的过程的特殊情况。使用所建议的方法还开发了一些新的分布，并讨论了它们的重要性质。各种现实生活数据集被用来证明新的建议分布的有效性，并与基线模型进行了验证。

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.