REFERENCES
- Crowder, M.J., and Lawless, J.F. (2007), “On a Scheme for Predictive Maintenance,” European Journal of Operational Research, 176, 1713–1722.
- Elashoff, M., and Ryan, L. (2004), “An EM Algorithm for Estimating Equations,” Journal of Computational and Graphical Statistics, 13, 48–65.
- Fang, Y., and Jeong, M.K. (2008), “Robust Probabilistic Multivariate Calibration Model,” Technometrics, 50, 305–316.
- Giorgio, M., Guida, M., and Pulcini, G. (2010), “A State-Dependent Wear Model With an Application to Marine Engine Cylinder Liners,” Technometrics, 52, 172–187.
- Lawless, J.F., and Crowder, M.J. (2004), “Covariates and Random Effects in a Gamma Process Model With Application to Degradation and Failure,” Lifetime Data Analysis, 10, 213–227.
- Lawless, J.F., and Fredette, M. (2005), “Frequentist Prediction Intervals and Predictive Distributions,” Biometrika, 92, 529–542.
- Lu, C.J. and Meeker, W.Q. (1993), “Using Degradation Measures to Estimate a Time-to-Failure Distribution,” Technometrics, 35, 161–174.
- McLachlan, G.J., and Krishnan, T. (2008), The EM Algorithm and Extensions, Hoboken, NJ: Wiley.
- Ng, H.K. T., Chan, P.S., and Balakrishnan, N. (2002), “Estimation of Parameters From Progressively Censored Data Using EM Algorithm,” Computational Statistics & Data Analysis, 39, 371–386.
- Park, C., and Padgett, W.J. (2005), “New Cumulative Damage Models for Failure Using Stochastic Processes as Initial Damage,” IEEE Transactions on Reliability, 54, 530–540.
- Pennell, M.L., Whitmore, G.A., and Lee, M.L. T. (2010), “Bayesian Random-Effects Threshold Regression With Application to Survival Data With Nonproportional Hazards,” Biostatistics, 11, 111–126.
- Shi, Y., Escobar, L.A., and Meeker, W.Q. (2009), “Accelerated Destructive Degradation Test Planning,” Technometrics, 51, 1–13.
- Singpurwalla, N.D. (1995), “Survival in Dynamic Environments,” Statistical Science, 10, 86–103.
- Spotnitz, R. (2003), “Simulation of Capacity Fade in Lithium-Ion Batteries,” Journal of Power Sources, 113, 72–80.
- van Noortwijk, J.M. (2009), “A Survey of the Application of Gamma Processes in Maintenance,” Reliability Engineering & System Safety, 94, 2–21.
- Wang, X. (2008), “A Pseudo-Likelihood Estimation Method for Nonhomogeneous Gamma Process Model With Random Effects,” Statistica Sinica, 18, 1153–1163.
- ——— (2009), “Nonparametric Estimation of the Shape Function in a Gamma Process for Degradation Data,” Canadian Journal of Statistics, 37, 102–118.
- ——— (2010), “Wiener Processes With Random Effects for Degradation Data,” Journal of Multivariate Analysis, 101, 340–351.
- Wang, X., and Xu, D. (2010), “An Inverse Gaussian Process Model for Degradation Data,” Technometrics, 52, 188–197.
- Ye, Z.S., Hong, Y., and Xie, Y. (2013), “How do Heterogeneities in Operating Environments Affect Field Failure Predictions and Test Planning?” The Annals of Applied Statistics, 7, 2249–2271.
- Ye, Z.S., Tang, L.C., and Xie, M. (2011), “A Burn-in Scheme Based on Percentiles of the Residual Life,” Journal of Quality Technology, 43, 334–345.
- Ye, Z.S., Xie, M., Tang, L.C., and Shen, Y. (2012), “Degradation-Based Burn-in Planning Under Competing Risks,” Technometrics, 54, 159–168.
- Zeng, D., Lin, D.Y., and Yin, G. (2005), “Maximum Likelihood Estimation for the Proportional Odds Model With Random Effects,” Journal of the American Statistical Association, 100, 470–483.