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

Yıl 2014, Cilt: 43 Sayı: 3, 473 - 510, 01.06.2014

Öz

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.

Kaynakça

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Yıl 2014, Cilt: 43 Sayı: 3, 473 - 510, 01.06.2014

Öz

Kaynakça

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Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm İstatistik
Yazarlar

Rodrigo R. Pescim

Gauss M. Cordeiro

Saralees Nararajah

Clarice G. B. Dem´etrio Bu kişi benim

Edwin M. M. Ortega

Yayımlanma Tarihi 1 Haziran 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 43 Sayı: 3

Kaynak Göster

APA Pescim, R. R., Cordeiro, G. M., Nararajah, S., Dem´etrio, C. G. B., vd. (2014). The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution. Hacettepe Journal of Mathematics and Statistics, 43(3), 473-510.
AMA Pescim RR, Cordeiro GM, Nararajah S, Dem´etrio CGB, Ortega EMM. The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution. Hacettepe Journal of Mathematics and Statistics. Haziran 2014;43(3):473-510.
Chicago Pescim, Rodrigo R., Gauss M. Cordeiro, Saralees Nararajah, Clarice G. B. Dem´etrio, ve Edwin M. M. Ortega. “The Kummer Beta Birnbaum-Saunders: An Alternative Fatigue Life Distribution”. Hacettepe Journal of Mathematics and Statistics 43, sy. 3 (Haziran 2014): 473-510.
EndNote Pescim RR, Cordeiro GM, Nararajah S, Dem´etrio CGB, Ortega EMM (01 Haziran 2014) The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution. Hacettepe Journal of Mathematics and Statistics 43 3 473–510.
IEEE R. R. Pescim, G. M. Cordeiro, S. Nararajah, C. G. B. Dem´etrio, ve E. M. M. Ortega, “The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution”, Hacettepe Journal of Mathematics and Statistics, c. 43, sy. 3, ss. 473–510, 2014.
ISNAD Pescim, Rodrigo R. vd. “The Kummer Beta Birnbaum-Saunders: An Alternative Fatigue Life Distribution”. Hacettepe Journal of Mathematics and Statistics 43/3 (Haziran 2014), 473-510.
JAMA Pescim RR, Cordeiro GM, Nararajah S, Dem´etrio CGB, Ortega EMM. The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution. Hacettepe Journal of Mathematics and Statistics. 2014;43:473–510.
MLA Pescim, Rodrigo R. vd. “The Kummer Beta Birnbaum-Saunders: An Alternative Fatigue Life Distribution”. Hacettepe Journal of Mathematics and Statistics, c. 43, sy. 3, 2014, ss. 473-10.
Vancouver Pescim RR, Cordeiro GM, Nararajah S, Dem´etrio CGB, Ortega EMM. The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution. Hacettepe Journal of Mathematics and Statistics. 2014;43(3):473-510.