Topp-Leone Cauchy Family of Distributions with Applications in Industrial Engineering
Abstract The goal of this research is to create a new general family of Topp-Leone distributions called the Topp-Leone Cauchy Family (TLC), which is exceedingly versatile and results from a careful merging of the Topp-Leone and Cauchy distribution families. Some of the new family’s theoretical prope...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer
2023-11-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s44199-023-00066-4 |
| _version_ | 1827381960397291520 |
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| author | Mintodê Nicodème Atchadé Mahoulé Jude Bogninou Aliou Moussa Djibril Melchior N’bouké |
| author_facet | Mintodê Nicodème Atchadé Mahoulé Jude Bogninou Aliou Moussa Djibril Melchior N’bouké |
| author_sort | Mintodê Nicodème Atchadé |
| collection | DOAJ |
| description | Abstract The goal of this research is to create a new general family of Topp-Leone distributions called the Topp-Leone Cauchy Family (TLC), which is exceedingly versatile and results from a careful merging of the Topp-Leone and Cauchy distribution families. Some of the new family’s theoretical properties are investigated using specific results on stochastic functions, quantile functions and associated measures, generic moments, probability weighted moments, and Shannon entropy. A parametric statistical model is built from a specific member of the family. The maximum likelihood technique is used to estimate the model’s unknown parameters. Furthermore, to emphasize the new family’s practical potential, we applied our model to two real-world data sets and compared it to existing rival models. |
| first_indexed | 2024-03-08T14:12:32Z |
| format | Article |
| id | doaj.art-ccc67c4ea35b407790f9003ece883d6b |
| institution | Directory Open Access Journal |
| issn | 2214-1766 |
| language | English |
| last_indexed | 2024-03-08T14:12:32Z |
| publishDate | 2023-11-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-ccc67c4ea35b407790f9003ece883d6b2024-01-14T12:39:02ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662023-11-0122433936510.1007/s44199-023-00066-4Topp-Leone Cauchy Family of Distributions with Applications in Industrial EngineeringMintodê Nicodème Atchadé0Mahoulé Jude Bogninou1Aliou Moussa Djibril2Melchior N’bouké3National Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and MathematicsNational Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and MathematicsNational Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and MathematicsNational Higher School of Mathematics Genius and Modelization, National University of Sciences, Technologies, Engineering and MathematicsAbstract The goal of this research is to create a new general family of Topp-Leone distributions called the Topp-Leone Cauchy Family (TLC), which is exceedingly versatile and results from a careful merging of the Topp-Leone and Cauchy distribution families. Some of the new family’s theoretical properties are investigated using specific results on stochastic functions, quantile functions and associated measures, generic moments, probability weighted moments, and Shannon entropy. A parametric statistical model is built from a specific member of the family. The maximum likelihood technique is used to estimate the model’s unknown parameters. Furthermore, to emphasize the new family’s practical potential, we applied our model to two real-world data sets and compared it to existing rival models.https://doi.org/10.1007/s44199-023-00066-4Topp-LeoneStatistical distributionCauchyMomentsEntropyMaximum likelihood estimation |
| spellingShingle | Mintodê Nicodème Atchadé Mahoulé Jude Bogninou Aliou Moussa Djibril Melchior N’bouké Topp-Leone Cauchy Family of Distributions with Applications in Industrial Engineering Journal of Statistical Theory and Applications (JSTA) Topp-Leone Statistical distribution Cauchy Moments Entropy Maximum likelihood estimation |
| title | Topp-Leone Cauchy Family of Distributions with Applications in Industrial Engineering |
| title_full | Topp-Leone Cauchy Family of Distributions with Applications in Industrial Engineering |
| title_fullStr | Topp-Leone Cauchy Family of Distributions with Applications in Industrial Engineering |
| title_full_unstemmed | Topp-Leone Cauchy Family of Distributions with Applications in Industrial Engineering |
| title_short | Topp-Leone Cauchy Family of Distributions with Applications in Industrial Engineering |
| title_sort | topp leone cauchy family of distributions with applications in industrial engineering |
| topic | Topp-Leone Statistical distribution Cauchy Moments Entropy Maximum likelihood estimation |
| url | https://doi.org/10.1007/s44199-023-00066-4 |
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