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Original Articles

Testing an Exponential Delay Time Model Against an Intensity Proportional Repair Alert Model

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Pages 4065-4076 | Received 22 Dec 2013, Accepted 06 Oct 2014, Published online: 02 Oct 2015

References

  • Aly, E. A.A., Kochar, S.C., McKeague, I.W. (1994). Some tests for comparing cumulative incidence functions and cause-specific hazard rates. J. Am. Statist. Assoc. 89:994–999.
  • Anderson, P.K., Borgan, Ø., Gill, D., Keiding, N. (1993). Statistical Models based on Counting Processes. New York: Springer-Verlag.
  • Block, H.W., Basu, A.P. (1974). A continuous bivariate exponential distribution. J. Amer. Statist. Assoc. 69:1031–1037.
  • Bunea, C., Bedford, T. (2002). The effect of model uncertainty on maintenance optimization. IEEE Trans. Reliab. 51(4):486–493.
  • Bunea, C., Cooke, R.M., Lindqvist, B.H. (2003). Competing risk perspective on reliability databases. In: Mathematical and Statistical Methods in Reliability. Singapore: World Scientific Publishing, pp. 355–370.
  • Christer, A. (2002). A review of delay time analysis for modelling plant maintenance. In: Osaki, S., Ed., Stochastic Models in Reliability and Maintenance. Berlin: Springer, pp. 89–124.
  • Cooke, R.M. (1993). The total time on test statistic and age-dependent censoring. J. statist. probab. Lett. 18:307–312.
  • Cooke, R.M. (1996). The design of reliability databases, Part I and II. Reliab. Eng. Syst. Safety 51:137–146, 209–223.
  • Cooke, R.M., Paulsen, J. (1997). Concepts for measuring maintenance performance and methods for analysing competing failures modes. Reliab. Eng. Syst. Safety 55:135–141.
  • Crowder, M. (2001). Classical Competing Risks. Boca Raton, FL: Chapman & Hall/CRC.
  • Dauxois, J.Y., Jomhoori, S., Yousefzadeh, F. (2014). Testing an “Exponential Delay Time model” against a “Random Sign Censoring model” in reliability. J. SFDS 155(3):104–119.
  • Dauxois, J.Y., Guilloux, A. (2008). Nonparametric inference under competing risks and selection-biased sampling. J. Multivariate. Anal. 99:589–605.
  • Dewan, I., Deshpande, J.V., Kulathinal, S.B. (2004). On testing dependence between time to failure and cause of failure via conditional probabilities. Scand. J. Stat. 31:79–91.
  • Dijoux, Y., Gaudoin, O. (2009). The alert-delay competing risks model for maintenance analysis. J. Statist. Plann. Infer. 139:1587–1603.
  • Hokstad, P., Jensen, R. (1998). Predicting the failure rate for components that go through a degradation state. Reliab. Eng. Syst. Safety 53:389–396.
  • Langseth, H., Lindqvist, B.H. (2003). A maintenance model for components exposed to several failure modes and imperfect repair. In: Doksum, K., Lindqvist, B.H., Eds., Mathematical and Statistical Methods in Reliability. Quality, Reliability and Engineering Statistics. Singapore: World Scientific, Ch. 27, 415–430.
  • Langseth, H., Lindqvist, B.H. (2006). Competing risks for repairable systems: a data study. J. Statist. Plann. Infer. 136(5):1687–1700.
  • Lindqvist, B.H., Støve, B., Langseth, H. (2006). Modeling of dependence between critical failure and preventive maintenance: The repair alert model. J. Statist. Plann. Infer. 136:1701–1717.
  • Li, W., Pham, H. (2005). Reliability modeling of multi-state degraded systems with multi-competing failures and random shocks. IEEE Trans. Reliab. 54(2):297–301.
  • Sengupta, D., Bhattacharjee, A., Rajeev, B. (1998). Testing for the proportionality of hazards in two samples against the increasing cumulative hazard ratio alternative. Scand. J. Statist. 25:637–647.
  • Tsiatis, A. (1975). A nonidentifiability aspect of the problem of competing risks. Proc. Nat. Acad. Sci. USA 72:20–22.
  • Van der Vaart, A.W., Wellner, J.A. (1996). Weak Convergence and Empirical Processes: With Application to Statistics. New York: Springer.

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