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A NOVEL TRANSMUTED AILAMUJIA DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS TO RELIABILITY DATA.

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Title: A NOVEL TRANSMUTED AILAMUJIA DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS TO RELIABILITY DATA.
Authors: Odat, Naser1 nodat@jadara.edu.jo
Source: International Journal of Industrial Engineering. 2026, Vol. 33 Issue 3, p740-761. 22p.
Subjects: Distribution (Probability theory), Statistical reliability, Hazard function (Statistics), Vinyl chloride, Parameters (Statistics), Quality control, Maximum likelihood statistics, Monte Carlo method
Abstract: This article proposes the Transmuted Ailamujia Distribution (TAD), a generalization of the Ailamujia distribution with an extra shape parameter (γ) to account for different behaviors of reliability data. The paper provides the essential statistica l inferences of TAD, such as moments, generating functions, and entropy. Parameters are estimated using maximum likelihood estimation for both full and right-censored data. A simulation study using Monte Carlo simulation (1000 runs, n = 30-500) is conducted to compare the performance of the estimators. The simulation results show that γ is estimable even when the data is censored. The application of TAD to vinyl chloride concentration data shows that TAD is superior to Weibull, Gamma, and other alternative distributions (CVM = 0.3456, AIC = 119.87). The article also gives the explicit reliability function: mean time to failure (MTTF = 3.907 units), hazard rates to indicate wear-out, stress-strength reliability P(X > 2.0) = 0.734, and process control limits (95th percentile = 5.82 units). [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Industrial Engineering is the property of International Journal of Industrial Engineering 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.)
Database: Engineering Source
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  Data: A NOVEL TRANSMUTED AILAMUJIA DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS TO RELIABILITY DATA.
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Industrial+Engineering%22">International Journal of Industrial Engineering</searchLink>. 2026, Vol. 33 Issue 3, p740-761. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+reliability%22">Statistical reliability</searchLink><br /><searchLink fieldCode="DE" term="%22Hazard+function+%28Statistics%29%22">Hazard function (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Vinyl+chloride%22">Vinyl chloride</searchLink><br /><searchLink fieldCode="DE" term="%22Parameters+%28Statistics%29%22">Parameters (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Quality+control%22">Quality control</searchLink><br /><searchLink fieldCode="DE" term="%22Maximum+likelihood+statistics%22">Maximum likelihood statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: This article proposes the Transmuted Ailamujia Distribution (TAD), a generalization of the Ailamujia distribution with an extra shape parameter (γ) to account for different behaviors of reliability data. The paper provides the essential statistica l inferences of TAD, such as moments, generating functions, and entropy. Parameters are estimated using maximum likelihood estimation for both full and right-censored data. A simulation study using Monte Carlo simulation (1000 runs, n = 30-500) is conducted to compare the performance of the estimators. The simulation results show that γ is estimable even when the data is censored. The application of TAD to vinyl chloride concentration data shows that TAD is superior to Weibull, Gamma, and other alternative distributions (CVM = 0.3456, AIC = 119.87). The article also gives the explicit reliability function: mean time to failure (MTTF = 3.907 units), hazard rates to indicate wear-out, stress-strength reliability P(X > 2.0) = 0.734, and process control limits (95th percentile = 5.82 units). [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Industrial Engineering is the property of International Journal of Industrial Engineering 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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      – Type: doi
        Value: 10.23055/ijietap.2026.33.3.11439
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      – Code: eng
        Text: English
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        PageCount: 22
        StartPage: 740
    Subjects:
      – SubjectFull: Distribution (Probability theory)
        Type: general
      – SubjectFull: Statistical reliability
        Type: general
      – SubjectFull: Hazard function (Statistics)
        Type: general
      – SubjectFull: Vinyl chloride
        Type: general
      – SubjectFull: Parameters (Statistics)
        Type: general
      – SubjectFull: Quality control
        Type: general
      – SubjectFull: Maximum likelihood statistics
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      – SubjectFull: Monte Carlo method
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      – TitleFull: A NOVEL TRANSMUTED AILAMUJIA DISTRIBUTION WITH STATISTICAL PROPERTIES AND APPLICATIONS TO RELIABILITY DATA.
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              M: 05
              Text: 2026
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              Y: 2026
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            – TitleFull: International Journal of Industrial Engineering
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