Power Topp–Leone exponential negative family of distributions with numerical illustrations to engineering and biological data
This article puts forth a novel category of probability distributions obtained from the Topp–Leone distribution, the inverse-KK exponential distribution, and the power functions. To obtain this new family, we used the original cumulative distribution functions. After introducing this new family, we...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-12-01
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| Series: | Open Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/phys-2023-0151 |
| _version_ | 1797387360814497792 |
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| author | Atchadé Mintodê Nicodème Otodji Théophile Djibril Aliou Moussa N’bouké Melchior |
| author_facet | Atchadé Mintodê Nicodème Otodji Théophile Djibril Aliou Moussa N’bouké Melchior |
| author_sort | Atchadé Mintodê Nicodème |
| collection | DOAJ |
| description | This article puts forth a novel category of probability distributions obtained from the Topp–Leone distribution, the inverse-KK exponential distribution, and the power functions. To obtain this new family, we used the original cumulative distribution functions. After introducing this new family, we gave the motivations that led us to this end and the basis of the new family obtained, followed by the mathematical properties related to the family. Then, we presented the statistic order, the quantile function, the series expansion, the moments, and the entropy (Shannon, Reiny, and Tsallis), and we estimated the parameters by the maximum likelihood method. Finally, using real data, we presented numerical results through data analysis with a comparison of rival models. |
| first_indexed | 2024-03-08T22:23:02Z |
| format | Article |
| id | doaj.art-e7a6505c401f436ab244e9da1e4f5271 |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-03-08T22:23:02Z |
| publishDate | 2023-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-e7a6505c401f436ab244e9da1e4f52712023-12-18T12:44:05ZengDe GruyterOpen Physics2391-54712023-12-012117597910.1515/phys-2023-0151Power Topp–Leone exponential negative family of distributions with numerical illustrations to engineering and biological dataAtchadé Mintodê Nicodème0Otodji Théophile1Djibril Aliou Moussa2N’bouké Melchior3National Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics, Abomey, Benin RepublicNational Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics, Abomey, Benin RepublicNational Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics, Abomey, Benin RepublicNational Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and Mathematics, Abomey, Benin RepublicThis article puts forth a novel category of probability distributions obtained from the Topp–Leone distribution, the inverse-KK exponential distribution, and the power functions. To obtain this new family, we used the original cumulative distribution functions. After introducing this new family, we gave the motivations that led us to this end and the basis of the new family obtained, followed by the mathematical properties related to the family. Then, we presented the statistic order, the quantile function, the series expansion, the moments, and the entropy (Shannon, Reiny, and Tsallis), and we estimated the parameters by the maximum likelihood method. Finally, using real data, we presented numerical results through data analysis with a comparison of rival models.https://doi.org/10.1515/phys-2023-0151inverse-k exponential distributionpower functionentropymaximum likelihood estimationstatistic ordernumerical analysis |
| spellingShingle | Atchadé Mintodê Nicodème Otodji Théophile Djibril Aliou Moussa N’bouké Melchior Power Topp–Leone exponential negative family of distributions with numerical illustrations to engineering and biological data Open Physics inverse-k exponential distribution power function entropy maximum likelihood estimation statistic order numerical analysis |
| title | Power Topp–Leone exponential negative family of distributions with numerical illustrations to engineering and biological data |
| title_full | Power Topp–Leone exponential negative family of distributions with numerical illustrations to engineering and biological data |
| title_fullStr | Power Topp–Leone exponential negative family of distributions with numerical illustrations to engineering and biological data |
| title_full_unstemmed | Power Topp–Leone exponential negative family of distributions with numerical illustrations to engineering and biological data |
| title_short | Power Topp–Leone exponential negative family of distributions with numerical illustrations to engineering and biological data |
| title_sort | power topp leone exponential negative family of distributions with numerical illustrations to engineering and biological data |
| topic | inverse-k exponential distribution power function entropy maximum likelihood estimation statistic order numerical analysis |
| url | https://doi.org/10.1515/phys-2023-0151 |
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