TY - JOUR
T1 - Lifetime analysis based on the generalized Birnbaum-Saunders distribution
AU - Leiva, Víctor
AU - Riquelme, Marco
AU - Balakrishnan, N.
AU - Sanhueza, Antonio
N1 - Funding Information:
The authors wish to thank the AE and referees for their helpful comments that aided in improving this article. This study was supported by the following grants: FONDECYT 1050862, DIPUV 42-2004, DIPUCM 200601, and DIUFRO 120321, Chile.
PY - 2008/1/10
Y1 - 2008/1/10
N2 - In this paper, we consider a family of generalized Birnbaum-Saunders distributions and present a lifetime analysis based mainly on the hazard function of this model. In addition, we carry out maximum likelihood estimation by using an iterative algorithm, which produces robust estimates. Asymptotic inference is also presented. Next, the quality of the estimation method is examined by means of Monte Carlo simulations. We then provide a practical example to illustrate the obtained results. From this example and based on goodness-of-fit methods, we show that the GBS distribution results in a more appropriate model for modeling fatigue data than other models commonly used to model this type of data. Finally, we estimate the hazard function and the critical point of this function.
AB - In this paper, we consider a family of generalized Birnbaum-Saunders distributions and present a lifetime analysis based mainly on the hazard function of this model. In addition, we carry out maximum likelihood estimation by using an iterative algorithm, which produces robust estimates. Asymptotic inference is also presented. Next, the quality of the estimation method is examined by means of Monte Carlo simulations. We then provide a practical example to illustrate the obtained results. From this example and based on goodness-of-fit methods, we show that the GBS distribution results in a more appropriate model for modeling fatigue data than other models commonly used to model this type of data. Finally, we estimate the hazard function and the critical point of this function.
KW - Asymptotic inference
KW - Goodness-of-fit
KW - Lifetime distributions
KW - Likelihood methods
KW - Monte Carlo simulation
KW - Numerical methods
KW - Reliability and survival analysis
UR - http://www.scopus.com/inward/record.url?scp=35748980302&partnerID=8YFLogxK
U2 - 10.1016/j.csda.2007.07.003
DO - 10.1016/j.csda.2007.07.003
M3 - Article
AN - SCOPUS:35748980302
SN - 0167-9473
VL - 52
SP - 2079
EP - 2097
JO - Computational Statistics and Data Analysis
JF - Computational Statistics and Data Analysis
IS - 4
ER -