Bayesian and non-bayesian estimation of Marshall-Olkin XLindley distribution in presence of censoring, cure fraction, and application on medical data
In this study, a new two-parameter Marshall Olkin XLindley (MOXL) distribution is proposed and investigated. We determine important statistical characteristics of the MOXL distribution, such as its quantile function, reliability metrics, moments, and other measures. We also characterize the new mode...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824012766 |
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| author | Hleil Alrweili Eid Sadun Alotaibi |
| author_facet | Hleil Alrweili Eid Sadun Alotaibi |
| author_sort | Hleil Alrweili |
| collection | DOAJ |
| description | In this study, a new two-parameter Marshall Olkin XLindley (MOXL) distribution is proposed and investigated. We determine important statistical characteristics of the MOXL distribution, such as its quantile function, reliability metrics, moments, and other measures. We also characterize the new model based on truncated moments and the hazard rate function. We estimate the parameters of the distribution using both maximum likelihood and Bayesian approaches. We employ three medical datasets to show the MOXL distribution's adaptability. The MOXL distribution produces more efficient outcomes than other widely used probability models. We also use Bayesian analysis using a gamma prior to estimating parameter values. |
| format | Article |
| id | doaj-art-92ebdd9ba2904abe8491cb37b23c84a5 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-92ebdd9ba2904abe8491cb37b23c84a52025-01-29T05:00:15ZengElsevierAlexandria Engineering Journal1110-01682025-01-01112633646Bayesian and non-bayesian estimation of Marshall-Olkin XLindley distribution in presence of censoring, cure fraction, and application on medical dataHleil Alrweili0Eid Sadun Alotaibi1Department of Mathematics, College of Science, Northern Border University, Arar, Saudi Arabia; Corresponding author.Department of Mathematics and statistics, AlKhurmah University College, Taif University, P.O. Box11099, Taif 21944, Saudi ArabiaIn this study, a new two-parameter Marshall Olkin XLindley (MOXL) distribution is proposed and investigated. We determine important statistical characteristics of the MOXL distribution, such as its quantile function, reliability metrics, moments, and other measures. We also characterize the new model based on truncated moments and the hazard rate function. We estimate the parameters of the distribution using both maximum likelihood and Bayesian approaches. We employ three medical datasets to show the MOXL distribution's adaptability. The MOXL distribution produces more efficient outcomes than other widely used probability models. We also use Bayesian analysis using a gamma prior to estimating parameter values.http://www.sciencedirect.com/science/article/pii/S1110016824012766MO familyXLindleyEstimationPatientsCancerLeukemia |
| spellingShingle | Hleil Alrweili Eid Sadun Alotaibi Bayesian and non-bayesian estimation of Marshall-Olkin XLindley distribution in presence of censoring, cure fraction, and application on medical data Alexandria Engineering Journal MO family XLindley Estimation Patients Cancer Leukemia |
| title | Bayesian and non-bayesian estimation of Marshall-Olkin XLindley distribution in presence of censoring, cure fraction, and application on medical data |
| title_full | Bayesian and non-bayesian estimation of Marshall-Olkin XLindley distribution in presence of censoring, cure fraction, and application on medical data |
| title_fullStr | Bayesian and non-bayesian estimation of Marshall-Olkin XLindley distribution in presence of censoring, cure fraction, and application on medical data |
| title_full_unstemmed | Bayesian and non-bayesian estimation of Marshall-Olkin XLindley distribution in presence of censoring, cure fraction, and application on medical data |
| title_short | Bayesian and non-bayesian estimation of Marshall-Olkin XLindley distribution in presence of censoring, cure fraction, and application on medical data |
| title_sort | bayesian and non bayesian estimation of marshall olkin xlindley distribution in presence of censoring cure fraction and application on medical data |
| topic | MO family XLindley Estimation Patients Cancer Leukemia |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824012766 |
| work_keys_str_mv | AT hleilalrweili bayesianandnonbayesianestimationofmarshallolkinxlindleydistributioninpresenceofcensoringcurefractionandapplicationonmedicaldata AT eidsadunalotaibi bayesianandnonbayesianestimationofmarshallolkinxlindleydistributioninpresenceofcensoringcurefractionandapplicationonmedicaldata |