References
- Bobrowski S, Chen H, Doring M, et al. Estimation of the lifetime distribution of mechatronic systems in the presence of a covariate: a comparison among parametric, semiparametric and nonparametric models. Reliab Eng Syst Saf. 2015;139:105–112. doi: 10.1016/j.ress.2015.02.012
- Hashimoto EM, Ortega EMM, Cancho VG, et al. The log-exponentiated Weibull regression model for interval-censored data. Comput Stat Data Anal. 2010;54(4):1017–1035. doi: 10.1016/j.csda.2009.10.014
- Kalbfleisch JD, Prentice RL. The statistical analysis of failure time data. New York: Wiley; 1980.
- Nelson WB. Simple methods and their applications(with discussion). Technometrics. 1972;14:247–276.
- Murthy DNP, Xie M, Jiang R. Weibull models. 1st ed. New Jersey: Wiley; 2003.
- Cox DR, Oakes D. Analysis of survival data. London: Chapman & Hall; 1984.
- Lawless JF. Statistical models and methods for lifetime data. 2nd ed. New Jersey: Wiley; 2003.
- Hirose H. Bias correction for the maximum likelihood estimates in the two-parameter Weibull distribution. IEEE Trans Dielectr Electr Insul. 1999;6:66–68. doi: 10.1109/94.752011
- Yang ZL, Xie M. Efficient estimation of the Weibull shape parameter based on a modified profile likelihood. J Stat Comput Simul. 2003;73:115–123. doi: 10.1080/00949650215729
- Shen Y, Yang ZL. Bias-correction for Weibull common shape estimation. J Stat Comput Simul. 2015;85(15):3017–3046. doi: 10.1080/00949655.2014.949714
- Rilstone P, Srivastava VK, Ullah A. The second-order bias and mean squared error of nonlinear estimators. J Econom. 1996;75:369–395. doi: 10.1016/0304-4076(96)89457-7
- Yang ZL. A general method for third-order bias and variance corrections on a nonlinear estimator. J Econom. 2015;186:178–200. doi: 10.1016/j.jeconom.2014.07.003
- Xu A, Tang Y, Guan Q. Bayesian analysis of masked Data in step-stress accelerated life testing. Commun Stat Simul Comput. 2014;43(8):2016–2030. doi: 10.1080/03610918.2013.848894
- Ye Z-S, Xie M, Tang L-C. Reliability evaluation of hard disk drive failures based on counting processes. Reliab Eng Syst Saf. 2013;109:110–118. doi: 10.1016/j.ress.2012.07.003
- Yang MG, Chen LH, Dong GH. Semiparametric Bayesian accelerated failure time model with interval-censored data. J Stat Comput Simul. 2015;85(10):2049–2058. doi: 10.1080/00949655.2014.915400
- Ying Z. A large sample study of rank estimation for censored regression data. Ann Stat. 1993;21:76–99. doi: 10.1214/aos/1176349016
- Van Der Vaart AW. Asymptotic statistics. Cambridge: Cambridge University Press; 1998.
- Nelson WB. Applied life data analysis. New Jersey: Wiley; 2004.
- Horn RA, Johnson CR. Matrix analysis. Cambridge: Cambridge University Press; 1985.
- Kundhi G, Rilstone P. The third-order bias of nonlinear estimators. Commun Stat Theory Methods. 2008;37(16):2617–2633. doi: 10.1080/03610920801983193
- Davison AC, Hinkley DV. Bootstrap methods and their applications. London: Cambridge University Press; 1997.