References
- Nakagawa T. Random maintenance policies. London: Springer-Verlag; 2014.
- Cook RM. The total time on test statistics and age-dependent censoring. Stat Probab Lett. 1993;18:307–312. doi: 10.1016/0167-7152(93)90020-J
- Lindqvist BH, Støve B, Langseth H. Modelling of dependence between critical failure and preventive maintenance: The repair alert model. J Statist Plan Inference. 2006;136:1701–1717. doi: 10.1016/j.jspi.2004.10.033
- Tsiatis A. A nonidentifiability aspect of the problem of competing risks. Proc Nat Acad Sci. 1975;72:20–22. doi: 10.1073/pnas.72.1.20
- Cook RM. The design of reliability data bases, part I and II: review of standard design concepts. Reliab Eng Syst Saf. 1996;51:137–146. and 209–223. doi: 10.1016/0951-8320(95)00111-5
- Langseth H, Lindqvist BH. A maintenance model for components exposed to several failure mechanisms and imperfect repair. Math Statist Methods Reliab. 2003;7:415–430. doi: 10.1142/9789812795250_0027
- Mendenhall W, Hader R. Estimation of parameters of mixed exponentially distributed failure time distributions from censored life test data. Biometrika. 1958;45:504–520. doi: 10.1093/biomet/45.3-4.504
- Barlow RE, Davis B. Analysis of time between failures for repairable components. In: Fussel JB, Burdick GR, editors. Nuclear Systems Reliability Engineering and Risk Assessment. Philadelphia (PA): SIAM; 1977. p. 543–561.
- Proschan F. Theoretical explanation of observed decreasing failure rate. Technometrics. 1963;5:375–383. doi: 10.1080/00401706.1963.10490105
- Nakagawa T. Maintenance theory of reliability. London: Springer-Verlag; 2006.
- Doostparast M, Kolahan F, Doostparast M. A reliability-based approach to optimize preventive maintenance scheduling for coherent systems. Reliab Eng Syst Saf. 2014;126:98–106. doi: 10.1016/j.ress.2014.01.010
- AL-Hussaini EK. Predicting observable from a general class of distributions. J Statist Plan Inference. 1999;79:79–91. doi: 10.1016/S0378-3758(98)00228-6
- Gradshtein IS, Ryzhik IM. Table of integrals, series, and products. 7th ed. San Diego, CA: Academic Press; 2007.
- Lehmann EL, Casella G. Theory of point estimation. 2nd ed. New York: Springer-Verlag; 1998.
- AL-Hussaini EK, Ahmad AA. On Bayesian predictive distributions of generalized order statistics. Metrika. 2003;57:165–176. doi: 10.1007/s001840200207
- Arnold BC, Press SJ. Bayesian estimation and prediction for Pareto data. J Amer Statist Assoc. 1989;84:1079–1084. doi: 10.1080/01621459.1989.10478875
- Christen JA, Ruggeri F, Villa E. Utility based maintenance analysis using a random sign censoring model. Reliab Eng Syst Saf. 2011;96:425–431. doi: 10.1016/j.ress.2010.11.001