Dergiler / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 3

The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution

Sayfa
473–510
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

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Bu Makaleye Atıf Yap

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

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