Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum Distributions
<p dir="ltr">Competing risk models are essential in survival analysis for studying systems with multiple mutually exclusive failure events. This study investigates the application of competing risk models in the presence of progressively Type-II censored data for the Dagum distributi...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| منشور في: |
2025
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| الموضوعات: | |
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إضافة وسم
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| _version_ | 1864513544649703424 |
|---|---|
| author | Raghd Badwan (21751574) |
| author2 | Reza Pakyari (20898827) |
| author2_role | author |
| author_facet | Raghd Badwan (21751574) Reza Pakyari (20898827) |
| author_role | author |
| dc.creator.none.fl_str_mv | Raghd Badwan (21751574) Reza Pakyari (20898827) |
| dc.date.none.fl_str_mv | 2025-06-30T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.3390/axioms14070508 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Analyzing_Competing_Risks_with_Progressively_Type-IICensored_Data_in_Dagum_Distributions/29606174 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Statistics bootstrap confidence regions Maximum Likelihood ApproachMaximum Likelihood Monte Carlo simulation, cooperation censoring present relative risk index |
| dc.title.none.fl_str_mv | Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum Distributions |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">Competing risk models are essential in survival analysis for studying systems with multiple mutually exclusive failure events. This study investigates the application of competing risk models in the presence of progressively Type-II censored data for the Dagum distribution, a flexible distribution suited for modeling data with heavy tails and varying skewness and kurtosis. The methodology includes maximum likelihood estimation of the unknown parameters, with a focus on the special case of a common shape parameter, which allows for a closed-form expression of the relative risks. A hypothesis test is developed to assess the validity of this assumption, and both asymptotic and bootstrap confidence intervals are constructed. The performance of the proposed methods is evaluated through Monte Carlo simulations, and their applicability is demonstrated with a real-world example.</p><h2>Other Information</h2><p dir="ltr">Published in: Axioms<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://doi.org/10.3390/axioms14070508" target="_blank">https://doi.org/10.3390/axioms14070508</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_0d89318e59e379acbff10ddb00f02ad3 |
| identifier_str_mv | 10.3390/axioms14070508 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/29606174 |
| publishDate | 2025 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum DistributionsRaghd Badwan (21751574)Reza Pakyari (20898827)Mathematical sciencesStatisticsbootstrap confidence regionsMaximum Likelihood ApproachMaximum LikelihoodMonte Carlo simulation, cooperationcensoring presentrelative risk index<p dir="ltr">Competing risk models are essential in survival analysis for studying systems with multiple mutually exclusive failure events. This study investigates the application of competing risk models in the presence of progressively Type-II censored data for the Dagum distribution, a flexible distribution suited for modeling data with heavy tails and varying skewness and kurtosis. The methodology includes maximum likelihood estimation of the unknown parameters, with a focus on the special case of a common shape parameter, which allows for a closed-form expression of the relative risks. A hypothesis test is developed to assess the validity of this assumption, and both asymptotic and bootstrap confidence intervals are constructed. The performance of the proposed methods is evaluated through Monte Carlo simulations, and their applicability is demonstrated with a real-world example.</p><h2>Other Information</h2><p dir="ltr">Published in: Axioms<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://doi.org/10.3390/axioms14070508" target="_blank">https://doi.org/10.3390/axioms14070508</a></p>2025-06-30T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.3390/axioms14070508https://figshare.com/articles/journal_contribution/Analyzing_Competing_Risks_with_Progressively_Type-IICensored_Data_in_Dagum_Distributions/29606174CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/296061742025-06-30T00:00:00Z |
| spellingShingle | Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum Distributions Raghd Badwan (21751574) Mathematical sciences Statistics bootstrap confidence regions Maximum Likelihood ApproachMaximum Likelihood Monte Carlo simulation, cooperation censoring present relative risk index |
| status_str | publishedVersion |
| title | Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum Distributions |
| title_full | Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum Distributions |
| title_fullStr | Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum Distributions |
| title_full_unstemmed | Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum Distributions |
| title_short | Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum Distributions |
| title_sort | Analyzing Competing Risks with Progressively Type-IICensored Data in Dagum Distributions |
| topic | Mathematical sciences Statistics bootstrap confidence regions Maximum Likelihood ApproachMaximum Likelihood Monte Carlo simulation, cooperation censoring present relative risk index |