TY - JOUR
T1 - A non-central version of the Birnbaum-Saunders distribution for reliability analysis
AU - Guiraud, Pierre
AU - Leiva, Víctor
AU - Fierro, Raúl
N1 - Funding Information:
Manuscript received June 03, 2008; revised August 16, 2008; accepted September 01, 2008. First published February 10, 2009; current version published March 04, 2009. This research was supported in part by DII of the Pontificia Universidad Católica de Valparaíso, Stochastic Analysis Research Laboratory, Chile, Grants PBCT-ACT13, PBCT-PSD20, FONDECYT 1080326, and DIPUV 50-2007. Associate Editor J.-C. Lu.
PY - 2009
Y1 - 2009
N2 - The Birnbaum-Saunders distribution has largely been applied to material fatigue and reliability studies to relate the time until failure to some type of cumulative damage. This damage is produced by the growth of a dominant crack in material specimens, the propagation of which is due to cyclic patterns of stress. However, the Birnbaum-Saunders model was constructed under restrictive conditions that may not be valid for certain applications. In particular, this model was developed assuming that the crack extension in each cycle has a constant s-mean over time. In this article, we assume the crack extensions in each cycle have a non-constant s-mean. This leads us to introduce a non-central version of the Birnbaum-Saunders distribution. Specifically, a comprehensive description of the properties and characteristics of this new model is presented. The suitability of this non-central distribution is shown by using real, and simulated data.
AB - The Birnbaum-Saunders distribution has largely been applied to material fatigue and reliability studies to relate the time until failure to some type of cumulative damage. This damage is produced by the growth of a dominant crack in material specimens, the propagation of which is due to cyclic patterns of stress. However, the Birnbaum-Saunders model was constructed under restrictive conditions that may not be valid for certain applications. In particular, this model was developed assuming that the crack extension in each cycle has a constant s-mean over time. In this article, we assume the crack extensions in each cycle have a non-constant s-mean. This leads us to introduce a non-central version of the Birnbaum-Saunders distribution. Specifically, a comprehensive description of the properties and characteristics of this new model is presented. The suitability of this non-central distribution is shown by using real, and simulated data.
KW - Cumulative damage
KW - Fatigue life
KW - Incidental parameters
KW - Likelihood methods
UR - http://www.scopus.com/inward/record.url?scp=63149190213&partnerID=8YFLogxK
U2 - 10.1109/TR.2008.2011869
DO - 10.1109/TR.2008.2011869
M3 - Article
AN - SCOPUS:63149190213
VL - 58
SP - 152
EP - 160
JO - IEEE Transactions on Reliability
JF - IEEE Transactions on Reliability
SN - 0018-9529
IS - 1
ER -