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

EN

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

Keywords

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

References

. . .

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Rodrigo R. Pescim ^*
Brazil

Gauss M. Cordeiro
Brazil

Saralees Nararajah ^*
United Kingdom

Clarice G. B. Dem´etrio ^* This is me
Brazil

Edwin M. M. Ortega
Brazil

Publication Date

June 1, 2014

Submission Date

March 3, 2014

Acceptance Date

-

Published in Issue

Year 2014 Volume: 43 Number: 3

IZ

https://izlik.org/JA66ZU42AR

Cite

RIS / Bibtex

APA

Pescim, R. R., Cordeiro, G. M., Nararajah, S., Dem´etrio, C. G. B., & Ortega, E. M. M. (2014). The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution. Hacettepe Journal of Mathematics and Statistics, 43(3), 473-510. https://izlik.org/JA66ZU42AR

AMA

1.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. https://izlik.org/JA66ZU42AR

Chicago

Pescim, Rodrigo R., Gauss M. Cordeiro, Saralees Nararajah, Clarice G. B. Dem´etrio, and Edwin M. M. Ortega. 2014. “The Kummer Beta Birnbaum-Saunders: An Alternative Fatigue Life Distribution”. Hacettepe Journal of Mathematics and Statistics 43 (3): 473-510. https://izlik.org/JA66ZU42AR.

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

[1]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, June 2014, [Online]. Available: https://izlik.org/JA66ZU42AR

ISNAD

Pescim, Rodrigo R. - Cordeiro, Gauss M. - Nararajah, Saralees - Dem´etrio, Clarice G. B. - Ortega, Edwin M. M. “The Kummer Beta Birnbaum-Saunders: An Alternative Fatigue Life Distribution”. Hacettepe Journal of Mathematics and Statistics 43/3 (June 1, 2014): 473-510. https://izlik.org/JA66ZU42AR.

JAMA

1.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, June 2014, pp. 473-10, https://izlik.org/JA66ZU42AR.

Vancouver

1.Rodrigo R. Pescim, Gauss M. Cordeiro, Saralees Nararajah, Clarice G. B. Dem´etrio, Edwin M. M. Ortega. The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Jun. 1;43(3):473-510. Available from: https://izlik.org/JA66ZU42AR