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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The superiority of the new distribution is illustrated by means of two failure real data sets.
📌 3 Key Takeaways
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Objective & Hypothesis:Birnbaum and Saunders [11] introduced a positive continuous distribution commonly used in reliability studies.
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Key Findings & Data:Based on this distribution, we propose and study the called Kummer beta Birnbaum-Saunders distribution for modeling fatigue life data.
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Conclusion & Impact:The superiority of the new distribution is illustrated by means of two failure real data sets.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Birnbaum-Saunders distribution · Fatigue life distribution · Kummer beta distribution
Abstract
Birnbaum and Saunders [11] introduced a positive continuous distribution commonly used in reliability studies. Based on this distribution, we propose and study the called Kummer beta Birnbaum-Saunders distribution for modeling fatigue life data. Various properties of the new distribution including explicit expressions for the moments, generating function, mean deviations, density function of the order statistics and their moments are derived. We investigate maximum likelihood estimation of the parameters. The superiority of the new distribution is illustrated by means of two failure real data sets.
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Cite This Article
CORDEİRO, G. M., PESCİM, R. R., NARARAJAH, S., ORTEGA, E. M. M., DEM´ETRİO, C. G. B. (2022). The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 3, 473–510. https://ajindex.com/articles/530372