The superiority of the new distribution is illustrated by means of two failure real data sets.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Birnbaum and Saunders [11] introduced a positive continuous distribution commonly used in reliability studies.
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Temel Bulgular & Veri:Based on this distribution, we propose and study the called Kummer beta Birnbaum-Saunders distribution for modeling fatigue life data.
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Sonuç & Katkı:The superiority of the new distribution is illustrated by means of two failure real data sets.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.
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