TY - JOUR
T1 - Influence diagnostics in log-Birnbaum-Saunders regression models with censored data
AU - Leiva, Víctor
AU - Barros, Michelli
AU - Paula, Gilberto A.
AU - Galea, Manuel
N1 - Funding Information:
This study was supported partially by the research projects FONDECYT 1050862, FANDES C–13955/10 and DIPUV 42–2004, Chile; and CNPq, from Brasil. The authors are grateful for two anonymous referees for helpful comments and suggestions.
PY - 2007/8/15
Y1 - 2007/8/15
N2 - In this paper we discuss log-Birnbaum-Saunders regression models with censored observations. This kind of model has been largely applied to study material lifetime subject to failure or stress. The score functions and observed Fisher information matrix are given as well as the process for estimating the regression coefficients and shape parameter is discussed. The normal curvatures of local influence are derived under various perturbation schemes and two deviance-type residuals are proposed to assess departures from the log-Birnbaum-Saunders error assumption as well as to detect outlying observations. Finally, a data set from the medical area is analyzed under log-Birnbaum-Saunders regression models. A diagnostic analysis is performed in order to select an appropriate model.
AB - In this paper we discuss log-Birnbaum-Saunders regression models with censored observations. This kind of model has been largely applied to study material lifetime subject to failure or stress. The score functions and observed Fisher information matrix are given as well as the process for estimating the regression coefficients and shape parameter is discussed. The normal curvatures of local influence are derived under various perturbation schemes and two deviance-type residuals are proposed to assess departures from the log-Birnbaum-Saunders error assumption as well as to detect outlying observations. Finally, a data set from the medical area is analyzed under log-Birnbaum-Saunders regression models. A diagnostic analysis is performed in order to select an appropriate model.
KW - Birnbaum-Saunders distribution
KW - Generalized leverage
KW - Influence diagnostic
KW - Lifetime distributions
KW - Local influence
KW - Log-linear model
KW - Maximum likelihood estimator
KW - Residual analysis
KW - Sinh-normal distribution
UR - http://www.scopus.com/inward/record.url?scp=34547206754&partnerID=8YFLogxK
U2 - 10.1016/j.csda.2006.09.020
DO - 10.1016/j.csda.2006.09.020
M3 - Article
AN - SCOPUS:34547206754
SN - 0167-9473
VL - 51
SP - 5694
EP - 5707
JO - Computational Statistics and Data Analysis
JF - Computational Statistics and Data Analysis
IS - 12
ER -