Remarks on the Papers by Coelho-Barros et al. (2017), Usman et al. (2021) and Obeid and Kadry (2022)

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-09-10 DOI:10.18187/pjsor.v18i3.4180

G. Hamedani, I. Ghosh, A. Saghir

引用次数: 0

Abstract

We would like to point out that the formula for the cumulative distribution given in Coelho-Barros et al. (2017) and a similar version of it given in Usman et al. (2021) are not cumulative distribution functions as these functions do not satisfy the one or more necessary and sufﬁcient conditions for a function to be a cumulative distribution function. We would also like to mention that formulas for the cumulative distribution functions of product and ratio of two independent Pareto and Exponential random variables given by Obeid and Kadry (2022) are not cumulative distribution functions either. We do not believe that these formulas can be ﬁxed to be cumulative distribution functions. In this short article, we provide mathematical justiﬁcation in support of these claims.

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Coelho-Barros等人(2017)，Usman等人(2021)和Obeid和Kadry(2022)的论文评论

我们想指出，Coelho-Barros等人(2017)给出的累积分布公式和Usman等人(2021)给出的类似版本不是累积分布函数，因为这些函数不满足函数成为累积分布函数的一个或多个必要和充分条件。我们还想提一下，Obeid和Kadry(2022)给出的两个独立的Pareto和Exponential随机变量的乘积和比值的累积分布函数公式也不是累积分布函数。我们不认为这些公式可以固定为累积分布函数。在这篇简短的文章中，我们提供数学论证来支持这些说法。

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.