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

Rodrigo R. Pescim; Gauss M. Cordeiro; Saralees Nararajah; Clarice G. B. Dem´etrio; Edwin M. M. Ortega

Research Article

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

Year 2014, Volume: 43 Issue: 3, 473 - 510, 01.06.2014

Rodrigo R. Pescim , Gauss M. Cordeiro , Saralees Nararajah , Clarice G. B. Dem´etrio Edwin M. M. Ortega

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.

Keywords

Birnbaum-Saunders distribution , Fatigue life distribution , Kummer beta distribution , Lifetime data , Maximum likelihood estimation

References

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Year 2014, Volume: 43 Issue: 3, 473 - 510, 01.06.2014

Rodrigo R. Pescim , Gauss M. Cordeiro , Saralees Nararajah , Clarice G. B. Dem´etrio Edwin M. M. Ortega

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Journal Section	Research Article
Authors	Rodrigo R. Pescim Gauss M. Cordeiro Saralees Nararajah Clarice G. B. Dem´etrio This is me Edwin M. M. Ortega
Publication Date	June 1, 2014
Published in Issue	Year 2014 Volume: 43 Issue: 3

Cite

APA	Pescim, R. R., Cordeiro, G. M., Nararajah, S., … Dem´etrio, C. G. B. (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. June 2014;43(3):473-510.
Chicago	Pescim, Rodrigo R., Gauss M. Cordeiro, Saralees Nararajah, Clarice G. B. Dem´etrio, and Edwin M. M. Ortega. “The Kummer Beta Birnbaum-Saunders: An Alternative Fatigue Life Distribution”. Hacettepe Journal of Mathematics and Statistics 43, no. 3 (June 2014): 473-510.
EndNote	Pescim RR, Cordeiro GM, Nararajah S, Dem´etrio CGB, Ortega EMM (June 1, 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, and E. M. M. Ortega, “The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 3, pp. 473–510, 2014.
ISNAD	Pescim, Rodrigo R. et al. “The Kummer Beta Birnbaum-Saunders: An Alternative Fatigue Life Distribution”. Hacettepe Journal of Mathematics and Statistics 43/3 (June2014), 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. et al. “The Kummer Beta Birnbaum-Saunders: An Alternative Fatigue Life Distribution”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 3, 2014, pp. 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.