General Independent Competing Risks for Maintenance Analysis

References

[1] L. A. Baxter, M. Kijima and M. Tortorella, A point process model for the reliability of a maintained system subject to general repair, Comm. Statist. Stochastic Models 12 (1996), no. 1, 37–65. 10.1080/15326349608807372Search in Google Scholar

[2] C. Bunea and T. Bedford, The effect of model uncertainty on maintenance optimisation, IEEE Trans. Reliab. 51 (2002), 486–493. 10.1109/TR.2002.804486Search in Google Scholar

[3] Y. Dijoux, A virtual age model based on a bathtub shaped initial intensity, Reliab. Eng. Syst. Safety 94 (2009), 982–989. 10.1016/j.ress.2008.11.004Search in Google Scholar

[4] G. Do and Y.-J. Kim, Analysis of interval censored competing risk data with missing causes of failure using pseudo values approach, J. Stat. Comput. Simul. 87 (2017), no. 4, 631–639. 10.1080/00949655.2016.1222530Search in Google Scholar

[5] V. Donev and M. Hoffmann, Condition prediction and estimation of service life in the presence of data censoring and dependent competing risks, Int. J. Pavement Eng. 20 (2017), no. 3, 313–331. 10.1080/10298436.2017.1293264Search in Google Scholar

[6] L. Doyen, Asymptotic properties of imperfect repair models and estimation of repair efficiency, Naval Res. Logist. 57 (2010), no. 3, 296–307. 10.1002/nav.20406Search in Google Scholar

[7] L. Doyen and O. Gaudoin, Classes of imperfect repair models based on reduction of failure intensity or virtual age, Reliab. Eng. Syst. Safety 84 (2004), 45–56. 10.1016/S0951-8320(03)00173-XSearch in Google Scholar

[8] L. Doyen and O. Gaudoin, Imperfect maintenance in a generalized competing risks framework, J. Appl. Probab. 43 (2006), no. 3, 825–839. 10.1239/jap/1158784949Search in Google Scholar

[9] T. Emura, J.-H. Shih, I. D. Ha and R. A. Wilke, Comparison of the marginal hazard model and the sub-distribution hazard model for competing risks under an assumed copula, Stat. Methods Med. Res. 29 (2020), no. 8, 2307–2327. 10.1177/0962280219892295Search in Google Scholar PubMed

[10] T. H. Fan, Y. F. Wang and S. K. Ju, A competing risks model with multiply censored reliability data under multivariate Weibull distributions, IEEE Trans. Reliab. 68 (2019), no. 2, 462–475. 10.1109/TR.2019.2907518Search in Google Scholar

[11] S. Gazmi, C. E. Love and W. Kahle, A general repair, proportional-hazards, framework to model complex repairable systems, IEEE Trans. Reliab. 52 (2003), 26–32. 10.1109/TR.2002.807850Search in Google Scholar

[12] M. Krit and K. Mili, Expectation-maximization algorithms for obtaining estimations of generalized failure intensity parameters, Int. J. Adv. Comp. Sci. Appl. 7 (2016), 432–435. 10.14569/IJACSA.2016.070158Search in Google Scholar

[13] P. H. Kvam and E. A. Peña, Estimating load-sharing properties in a dynamic reliability system, J. Amer. Statist. Assoc. 100 (2005), no. 469, 262–272. 10.1198/016214504000000863Search in Google Scholar PubMed PubMed Central

[14] H. Langseth and B. H. Lindqvist, A maintenance model for components exposed to several failure mechanisms and imperfect repair, Mathematical and Statistical Methods in Reliability (Trondheim 2002), Ser. Qual. Reliab. Eng. Stat. 7, World Scientific, River Edge (2003), 415–430. 10.1142/9789812795250_0027Search in Google Scholar

[15] H. Langseth and B. H. Lindqvist, A maintenance model for components exposed to several failure mechanisms and imperfect repair, Quality, Reliability and Engineering Statistics, World Scientific Publishing, Singapore, 2003. 10.1142/9789812795250_0027Search in Google Scholar

[16] B. Lindqvist, Statistical modelling and analysis of repairable systems, Statistical and Probabilistic Models in Reliability, Birkhäuser, Boston (1999), 3–25. 10.1007/978-1-4612-1782-4_1Search in Google Scholar

[17] H. Liu, Reliability and maintenance modeling for competing risk processes with Weibull inter-arrival shocks, Appl. Math. Model. 71 (2019), 194–207. 10.1016/j.apm.2019.02.017Search in Google Scholar

[18] S. M. S. Lo, G. Stephan and R. A. Wilke, Competing risks copula models for unemployment duration: An application to a German Hartz reform, J. Econom. Methods 6 (2017), no. 1, Article ID 20150005. 10.1515/jem-2015-0005Search in Google Scholar

[19] R. Noorossana and K. Sabri-Laghaie, Reliability and maintenance models for a dependent competing-risk system with multiple time-scales, Proc. Inst. Mech. Eng. 229 (2015), 131–142. 10.1177/1748006X14565842Search in Google Scholar

[20] E. A. Peña, E. H. Slate and J. R. González, Semiparametric inference for a general class of models for recurrent events, J. Stat. Plan. Inference 137 (2007), 1727–1747. 10.1016/j.jspi.2006.05.004Search in Google Scholar PubMed PubMed Central

[21] K. Rafiee, Q. Feng and D. W. Coit, Reliability modeling for dependent competing failure processes with changing degradation rate, IIE Trans. 46 (2014), no. 5, 483–496. 10.1080/0740817X.2013.812270Search in Google Scholar

[22] S. Song, D. W. Coit, Q. Feng and H. Peng, Reliability analysis for multi-component systems subject to multiple dependent competing failure processes, IEEE Trans. Reliab. 63 (2014), 331–345. 10.1109/TR.2014.2299693Search in Google Scholar

[23] Y. Wang and H. Pham, Modeling the dependent competing risks with multiple degradation processes and random shock using time-varying copulas, IEEE Trans. Reliab. 61 (2012), 13–22. 10.1109/TR.2011.2170253Search in Google Scholar

[24] Y. Zhou, Z. Lu, Y. Shi and K. Cheng, The copula-based method for statistical analysis of stepstress accelerated life test with dependent competing failure modes, Proc. Inst. Mech. Eng. 223 (2018), 1748006X18793251. 1748006X18793251Search in Google Scholar