A Hazard‐Based Regression Model Under the Exponentiated Alpha Power Log‐Logistic Distribution With Survival Data.

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Title: A Hazard‐Based Regression Model Under the Exponentiated Alpha Power Log‐Logistic Distribution With Survival Data.
Authors: Kariuki, Veronica1 (AUTHOR) vewkariuki@usiu.ac.ke, Barbiero, Alessandro1 (AUTHOR) alessandro.barbiero@unimi.it
Source: Journal of Probability & Statistics. 5/18/2026, Vol. 2026, p1-12. 12p.
Subjects: Hazard function (Statistics), Survival analysis (Biometry), Distribution (Probability theory), Monte Carlo method, Maximum likelihood statistics
Abstract: This study introduces a hazard‐based regression model incorporating the exponentiated alpha‐power log‐logistic (EAPLL) baseline distribution. Specifically, the proposed model follows the EAPLL–accelerated failure time (AFT) framework, and we establish that the EAPLL distribution remains closed under the AFT model. The model parameters are estimated using the maximum likelihood estimation method. A Monte Carlo simulation is conducted to assess the performance of the estimators across various scenarios based on an increasing baseline hazard function shape. Finally, the applicability of the proposed model is demonstrated using real‐life censored survival data. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Probability & Statistics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: A Hazard‐Based Regression Model Under the Exponentiated Alpha Power Log‐Logistic Distribution With Survival Data.
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Kariuki%2C+Veronica%22">Kariuki, Veronica</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> vewkariuki@usiu.ac.ke</i><br /><searchLink fieldCode="AR" term="%22Barbiero%2C+Alessandro%22">Barbiero, Alessandro</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> alessandro.barbiero@unimi.it</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Probability+%26+Statistics%22">Journal of Probability & Statistics</searchLink>. 5/18/2026, Vol. 2026, p1-12. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Hazard+function+%28Statistics%29%22">Hazard function (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Survival+analysis+%28Biometry%29%22">Survival analysis (Biometry)</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink><br /><searchLink fieldCode="DE" term="%22Maximum+likelihood+statistics%22">Maximum likelihood statistics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study introduces a hazard‐based regression model incorporating the exponentiated alpha‐power log‐logistic (EAPLL) baseline distribution. Specifically, the proposed model follows the EAPLL–accelerated failure time (AFT) framework, and we establish that the EAPLL distribution remains closed under the AFT model. The model parameters are estimated using the maximum likelihood estimation method. A Monte Carlo simulation is conducted to assess the performance of the estimators across various scenarios based on an increasing baseline hazard function shape. Finally, the applicability of the proposed model is demonstrated using real‐life censored survival data. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Probability & Statistics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1155/jpas/5953864
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 12
        StartPage: 1
    Subjects:
      – SubjectFull: Hazard function (Statistics)
        Type: general
      – SubjectFull: Survival analysis (Biometry)
        Type: general
      – SubjectFull: Distribution (Probability theory)
        Type: general
      – SubjectFull: Monte Carlo method
        Type: general
      – SubjectFull: Maximum likelihood statistics
        Type: general
    Titles:
      – TitleFull: A Hazard‐Based Regression Model Under the Exponentiated Alpha Power Log‐Logistic Distribution With Survival Data.
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            NameFull: Kariuki, Veronica
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            NameFull: Barbiero, Alessandro
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          Dates:
            – D: 18
              M: 05
              Text: 5/18/2026
              Type: published
              Y: 2026
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              Value: 2026
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            – TitleFull: Journal of Probability & Statistics
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