Alpha Power Transformation of the Lindley Probability Distribution
This paper presents the alpha power transformation of the Lindley probability distribution (APTLD), which is a new model with four parameters. The probability density, cumulative distribution, hazard, and survival functions are derived and presented. Its properties including moments, moment-generati...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2024/9068114 |
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| _version_ | 1832543781383045120 |
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| author | Shibiru Jabessa Dugasa Ayele Taye Goshu Butte Gotu Arero |
| author_facet | Shibiru Jabessa Dugasa Ayele Taye Goshu Butte Gotu Arero |
| author_sort | Shibiru Jabessa Dugasa |
| collection | DOAJ |
| description | This paper presents the alpha power transformation of the Lindley probability distribution (APTLD), which is a new model with four parameters. The probability density, cumulative distribution, hazard, and survival functions are derived and presented. Its properties including moments, moment-generating and quantile functions are obtained. The maximum likelihood method is derived for parameter estimation of the model. Simulation studies are performed to generate random observations from the model. The new distribution model is fitted to two real datasets, revealing better fit as compared to other five distributions. The new probability distribution reveals interesting properties with the flexible shape of its hazard function and could be considered as a new contribution to the field of statistics and probability theory. The findings of this study can be used as the basis for future research in statistics and probability, as well as in different application areas such as health, engineering, education, and economics. |
| format | Article |
| id | doaj-art-7c54846cf6824bf3bfd9aca78d02c356 |
| institution | Kabale University |
| issn | 1687-9538 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-7c54846cf6824bf3bfd9aca78d02c3562025-02-03T11:30:43ZengWileyJournal of Probability and Statistics1687-95382024-01-01202410.1155/2024/9068114Alpha Power Transformation of the Lindley Probability DistributionShibiru Jabessa Dugasa0Ayele Taye Goshu1Butte Gotu Arero2Department of MathematicsDepartment of MathematicsDepartment of StatisticsThis paper presents the alpha power transformation of the Lindley probability distribution (APTLD), which is a new model with four parameters. The probability density, cumulative distribution, hazard, and survival functions are derived and presented. Its properties including moments, moment-generating and quantile functions are obtained. The maximum likelihood method is derived for parameter estimation of the model. Simulation studies are performed to generate random observations from the model. The new distribution model is fitted to two real datasets, revealing better fit as compared to other five distributions. The new probability distribution reveals interesting properties with the flexible shape of its hazard function and could be considered as a new contribution to the field of statistics and probability theory. The findings of this study can be used as the basis for future research in statistics and probability, as well as in different application areas such as health, engineering, education, and economics.http://dx.doi.org/10.1155/2024/9068114 |
| spellingShingle | Shibiru Jabessa Dugasa Ayele Taye Goshu Butte Gotu Arero Alpha Power Transformation of the Lindley Probability Distribution Journal of Probability and Statistics |
| title | Alpha Power Transformation of the Lindley Probability Distribution |
| title_full | Alpha Power Transformation of the Lindley Probability Distribution |
| title_fullStr | Alpha Power Transformation of the Lindley Probability Distribution |
| title_full_unstemmed | Alpha Power Transformation of the Lindley Probability Distribution |
| title_short | Alpha Power Transformation of the Lindley Probability Distribution |
| title_sort | alpha power transformation of the lindley probability distribution |
| url | http://dx.doi.org/10.1155/2024/9068114 |
| work_keys_str_mv | AT shibirujabessadugasa alphapowertransformationofthelindleyprobabilitydistribution AT ayeletayegoshu alphapowertransformationofthelindleyprobabilitydistribution AT buttegotuarero alphapowertransformationofthelindleyprobabilitydistribution |