Remarks on the Papers by Coelho-Barros et al. (2017), Usman et al. (2021) and Obeid and Kadry (2022) Article Swipe
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· 2022
· Open Access
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· DOI: https://doi.org/10.18187/pjsor.v18i3.4180
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.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.18187/pjsor.v18i3.4180
- https://pjsor.com/pjsor/article/download/4180/1222
- OA Status
- diamond
- References
- 3
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4295271014
Raw OpenAlex JSON
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https://openalex.org/W4295271014Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.18187/pjsor.v18i3.4180Digital Object Identifier
- Title
-
Remarks on the Papers by Coelho-Barros et al. (2017), Usman et al. (2021) and Obeid and Kadry (2022)Work title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2022Year of publication
- Publication date
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2022-09-10Full publication date if available
- Authors
-
G. G. Hamedani, Indranil Ghosh, A. SaghirList of authors in order
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https://doi.org/10.18187/pjsor.v18i3.4180Publisher landing page
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https://pjsor.com/pjsor/article/download/4180/1222Direct link to full text PDF
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YesWhether a free full text is available
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diamondOpen access status per OpenAlex
- OA URL
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https://pjsor.com/pjsor/article/download/4180/1222Direct OA link when available
- Concepts
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Cumulative distribution function, Mathematics, Exponential function, Distribution (mathematics), Exponential distribution, Applied mathematics, Statistics, Probability density function, Mathematical analysisTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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3Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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