Exponentiated odd Lindley-X family with fitting to reliability and medical data sets
This paper concerns constructing a general family of distributions called exponentiated odd Lindley-X (EOL-X) family. We demonstrate that the EOL-X density can be represented as an infinite linear combination of the exponentiated-F densities and, as a result, that many of its mathematical features a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-02-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364722006255 |
| _version_ | 1797952838841663488 |
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| author | Ahmed M. T. Abd El-Bar Maria do Carmo S. Lima |
| author_facet | Ahmed M. T. Abd El-Bar Maria do Carmo S. Lima |
| author_sort | Ahmed M. T. Abd El-Bar |
| collection | DOAJ |
| description | This paper concerns constructing a general family of distributions called exponentiated odd Lindley-X (EOL-X) family. We demonstrate that the EOL-X density can be represented as an infinite linear combination of the exponentiated-F densities and, as a result, that many of its mathematical features are derived directly. The fundamental statistical properties, including moments, mean deviations, generating function, order statistics, stochastic ordering, and entropies were investigated. EOL-X special models are introduced. The suggested model presents superior performance when compared to the other models studied, in the reliability and “medical” data. In addition, its bimodal density shape enhances the possibility of good tuning in applications in several other areas, such as survival. Thus, it is expected that this proposal will be of great help to the community studying new families and their adjustments to real data sets. |
| first_indexed | 2024-04-10T22:52:20Z |
| format | Article |
| id | doaj.art-3bed4c3be3d14ec78eea4d4b7c6250e4 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-04-10T22:52:20Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-3bed4c3be3d14ec78eea4d4b7c6250e42023-01-15T04:21:11ZengElsevierJournal of King Saud University: Science1018-36472023-02-01352102444Exponentiated odd Lindley-X family with fitting to reliability and medical data setsAhmed M. T. Abd El-Bar0Maria do Carmo S. Lima1Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt; Corresponding author.Department of Statistics, Federal University of Pernambuco, BrazilThis paper concerns constructing a general family of distributions called exponentiated odd Lindley-X (EOL-X) family. We demonstrate that the EOL-X density can be represented as an infinite linear combination of the exponentiated-F densities and, as a result, that many of its mathematical features are derived directly. The fundamental statistical properties, including moments, mean deviations, generating function, order statistics, stochastic ordering, and entropies were investigated. EOL-X special models are introduced. The suggested model presents superior performance when compared to the other models studied, in the reliability and “medical” data. In addition, its bimodal density shape enhances the possibility of good tuning in applications in several other areas, such as survival. Thus, it is expected that this proposal will be of great help to the community studying new families and their adjustments to real data sets.http://www.sciencedirect.com/science/article/pii/S1018364722006255Exponentiated odd LindleyMomentsMedical data setReliability data setSurvival data set |
| spellingShingle | Ahmed M. T. Abd El-Bar Maria do Carmo S. Lima Exponentiated odd Lindley-X family with fitting to reliability and medical data sets Journal of King Saud University: Science Exponentiated odd Lindley Moments Medical data set Reliability data set Survival data set |
| title | Exponentiated odd Lindley-X family with fitting to reliability and medical data sets |
| title_full | Exponentiated odd Lindley-X family with fitting to reliability and medical data sets |
| title_fullStr | Exponentiated odd Lindley-X family with fitting to reliability and medical data sets |
| title_full_unstemmed | Exponentiated odd Lindley-X family with fitting to reliability and medical data sets |
| title_short | Exponentiated odd Lindley-X family with fitting to reliability and medical data sets |
| title_sort | exponentiated odd lindley x family with fitting to reliability and medical data sets |
| topic | Exponentiated odd Lindley Moments Medical data set Reliability data set Survival data set |
| url | http://www.sciencedirect.com/science/article/pii/S1018364722006255 |
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