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

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Hacettepe Journal of Mathematics and Statistics
Volume:43 Issue:3
The Kummer beta Birnbaum-Saunders: An alternative fatigue life distribution

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

Authors : Rodrigo R PESCİM, Gauss M CORDEİRO, Saralees NARARAJAH, Clarice G B DEM´ETRİO, Edwin M M ORTEGA

Pages : 473-510

View : 19 | Download : 10

Publication Date : 2014-06-01

Article Type : Research Paper

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

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