Application of Odd Lomax log-logistic distribution to cancer data
The effectiveness of the parental distribution is modified in this article by adding flexibility, allowing it to capture all characteristics of the provided real-world data sets. This is accomplished by using the T-X class of distributions to generalize the parental distribution. Odd Lomax log-logis...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Elsevier
2024-03-01
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Series: | Heliyon |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024034078 |
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author | Benson Benedicto Kailembo Srinivasa Rao Gadde Peter Josephat Kirigiti |
author_facet | Benson Benedicto Kailembo Srinivasa Rao Gadde Peter Josephat Kirigiti |
author_sort | Benson Benedicto Kailembo |
collection | DOAJ |
description | The effectiveness of the parental distribution is modified in this article by adding flexibility, allowing it to capture all characteristics of the provided real-world data sets. This is accomplished by using the T-X class of distributions to generalize the parental distribution. Odd Lomax log-logistic distribution or OLLLD in short, is the name of the generalized parental distribution. The fundamental statistical properties of OLLLD are explicitly expressed. The maximum likelihood estimation approach is used to estimate the unidentified OLLLD parameters. In order to investigate the fit of the approach employed in estimating the parameters of OLLLD, the data are generated and an investigation done. Again, the ability of OLLLD is evaluated by fitting it to the real survival time data set of breast cancer. |
first_indexed | 2024-04-24T13:50:09Z |
format | Article |
id | doaj.art-27b7160fe45e46d4b1d098b80cf7f328 |
institution | Directory Open Access Journal |
issn | 2405-8440 |
language | English |
last_indexed | 2024-04-24T13:50:09Z |
publishDate | 2024-03-01 |
publisher | Elsevier |
record_format | Article |
series | Heliyon |
spelling | doaj.art-27b7160fe45e46d4b1d098b80cf7f3282024-04-04T05:04:44ZengElsevierHeliyon2405-84402024-03-01106e27376Application of Odd Lomax log-logistic distribution to cancer dataBenson Benedicto Kailembo0Srinivasa Rao Gadde1Peter Josephat Kirigiti2Department of Mathematics and Statistics, University of Dodoma, Dodoma, TanzaniaCorresponding author.; Department of Mathematics and Statistics, University of Dodoma, Dodoma, TanzaniaDepartment of Mathematics and Statistics, University of Dodoma, Dodoma, TanzaniaThe effectiveness of the parental distribution is modified in this article by adding flexibility, allowing it to capture all characteristics of the provided real-world data sets. This is accomplished by using the T-X class of distributions to generalize the parental distribution. Odd Lomax log-logistic distribution or OLLLD in short, is the name of the generalized parental distribution. The fundamental statistical properties of OLLLD are explicitly expressed. The maximum likelihood estimation approach is used to estimate the unidentified OLLLD parameters. In order to investigate the fit of the approach employed in estimating the parameters of OLLLD, the data are generated and an investigation done. Again, the ability of OLLLD is evaluated by fitting it to the real survival time data set of breast cancer.http://www.sciencedirect.com/science/article/pii/S240584402403407862F1062F4062F8662P05 |
spellingShingle | Benson Benedicto Kailembo Srinivasa Rao Gadde Peter Josephat Kirigiti Application of Odd Lomax log-logistic distribution to cancer data Heliyon 62F10 62F40 62F86 62P05 |
title | Application of Odd Lomax log-logistic distribution to cancer data |
title_full | Application of Odd Lomax log-logistic distribution to cancer data |
title_fullStr | Application of Odd Lomax log-logistic distribution to cancer data |
title_full_unstemmed | Application of Odd Lomax log-logistic distribution to cancer data |
title_short | Application of Odd Lomax log-logistic distribution to cancer data |
title_sort | application of odd lomax log logistic distribution to cancer data |
topic | 62F10 62F40 62F86 62P05 |
url | http://www.sciencedirect.com/science/article/pii/S2405844024034078 |
work_keys_str_mv | AT bensonbenedictokailembo applicationofoddlomaxloglogisticdistributiontocancerdata AT srinivasaraogadde applicationofoddlomaxloglogisticdistributiontocancerdata AT peterjosephatkirigiti applicationofoddlomaxloglogisticdistributiontocancerdata |