Research Article
BibTex RIS Cite

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

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

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.

References

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

Abstract

References

  • . . .
There are 1 citations in total.

Details

Primary Language English
Journal Section Statistics
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., et al. (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 (June 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. 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.