Applications of Ujlayan and Dixit Fractional Uniform Probability Distribution
In this work, we consider the Ujlayan-Dixit (UD) fractional derivative and integral to present the fractional probability density function for the Continuous Uniform Distribution (CUD). Some applications for this distribution using the UD approach are developed by introduce new fractional notions on...
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2025-02-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/272 |
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| author | Iqbal H. Jebril Amira Abdelnebi Iqbal M. Batiha |
| author_facet | Iqbal H. Jebril Amira Abdelnebi Iqbal M. Batiha |
| author_sort | Iqbal H. Jebril |
| collection | DOAJ |
| description | In this work, we consider the Ujlayan-Dixit (UD) fractional derivative and integral to present the fractional probability density function for the Continuous Uniform Distribution (CUD). Some applications for this distribution using the UD approach are developed by introduce new fractional notions on the probability theory, which involve cumulative distribution, survival and hazard functions. For continuous random variables, various additional concepts and applications are established, including the fractional expectation, the fractional variance and the fractional moments. Finally, the UD fractional standard deviation and the UD fractional Shannon entropy are provided. |
| format | Article |
| id | doaj-art-50ea833e30004fa88a18ca9c0496c123 |
| institution | Kabale University |
| issn | 2832-4293 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-50ea833e30004fa88a18ca9c0496c1232025-08-20T03:27:01ZengMathyze PublishersPan-American Journal of Mathematics2832-42932025-02-014010.28919/cpr-pajm/4-667Applications of Ujlayan and Dixit Fractional Uniform Probability DistributionIqbal H. JebrilAmira AbdelnebiIqbal M. BatihaIn this work, we consider the Ujlayan-Dixit (UD) fractional derivative and integral to present the fractional probability density function for the Continuous Uniform Distribution (CUD). Some applications for this distribution using the UD approach are developed by introduce new fractional notions on the probability theory, which involve cumulative distribution, survival and hazard functions. For continuous random variables, various additional concepts and applications are established, including the fractional expectation, the fractional variance and the fractional moments. Finally, the UD fractional standard deviation and the UD fractional Shannon entropy are provided.https://mathyze.com/index.php/pajm/article/view/272 |
| spellingShingle | Iqbal H. Jebril Amira Abdelnebi Iqbal M. Batiha Applications of Ujlayan and Dixit Fractional Uniform Probability Distribution Pan-American Journal of Mathematics |
| title | Applications of Ujlayan and Dixit Fractional Uniform Probability Distribution |
| title_full | Applications of Ujlayan and Dixit Fractional Uniform Probability Distribution |
| title_fullStr | Applications of Ujlayan and Dixit Fractional Uniform Probability Distribution |
| title_full_unstemmed | Applications of Ujlayan and Dixit Fractional Uniform Probability Distribution |
| title_short | Applications of Ujlayan and Dixit Fractional Uniform Probability Distribution |
| title_sort | applications of ujlayan and dixit fractional uniform probability distribution |
| url | https://mathyze.com/index.php/pajm/article/view/272 |
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