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

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Bibliographic Details
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]
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Database:	Engineering Source

Description
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]
ISSN:	10724761
DOI:	10.23055/ijietap.2026.33.3.11439