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...

Full description

Bibliographic Details
Main Authors: Benson Benedicto Kailembo, Srinivasa Rao Gadde, Peter Josephat Kirigiti
Format: Article
Language:English
Published: Elsevier 2024-03-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844024034078
_version_ 1827294033232265216
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