COMPETING RISK MODELING IN RELIABILITY

Series on Quality, Reliability and Engineering Statistics Vol. 10: Modern Statistical and Mathematical Methods in Reliability

Volumn , Issue , 2005, Pages 1-16

  Bedford, Tim ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85198597282     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (23)

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2. M. Crowder, Classical competing risks, Chapman and Hall/CRC (2001).
3. J. V. Deshpande, Some recent advances in the theory of competing risks, Presidential Address, Section of Statistics, Indian Science Congress 84th Session (1997).
4. A. Tsiatis, A nonidentifiablility aspect in the problem of competing risks, Proceedings of National Academy of Science, USA 72, 20-22 (1975).
5. E. L. Kaplan and P. Meier, On the identifiability crisis in competing risks analysis, Journal of American Statistical Association 53, 457-481 (1958).
6. A. NBdas, On estimating the distribution of a random vector when only the smallest coordinate is observable, Technometrics 12, 923-924 (1970).
7. D. R. Miller, A note on independence of multivariate lifetimes in competing risk models, Ann. Statist. 5, 576-579 (1976).
8. J. A. M. Van der Weide and T. Bedford, Competing risks and eternal life, Safety and Reliability (Proceedings of ESREL’98), S. Lydersen, G.K. Hansen, H.A. Sandtorv (eds), Vol. 2, 1359-1364, Balkema, Rotterdam (1998).
9. A. Peterson, Bounds for a joint distribution function with fixed subdistribution functions: Application to competing risks, Proc. Nat. Acad. Sci. USA 73, 11-13 (1976).
10. M. Crowder, On the identifiability crisis in competing risks analysis, Scand. J. Statist. 18, 223-233 (1991).
11. T. Bedford and I. Meilijson, A characterization of marginal distributions of (possibly dependent) lifetime variables which right censor each other, Annals of Statistics 25, 1622-1645 (1997).
12. T. Bedford and I. Meilijson, A new approach to censored lifetime variables, Reliability Engineering and System Safety 51, 181-187 (1996).
13. T. Bedford and I. Meilijson, The marginal distributions of lifetime variables which right censor each other, in H. Koul and J. Deshpande (Eds.), IMS Lecture Notes Monograph Series 27 (1995).
14. T. Bedford and R. M. Cooke, Reliability Methods as management tools:dependence modelling and partial mission success, Reliability Engineering and System Safety 58, 173-180 (1997).
15. C. Bunea and T. Bedford, The effect of model uncertainty on maintenance optimization, IEEE Transactions in Reliability 51, 486-493 (2002).
16. M. Zheng and J. P. Klein, Estimates of marginal survival for dependent competing risks based on an assumed copula, Biometrika 82, 127-138 (1995).
17. T. Bedford and R. Cooke, Probabilistic Risk Analysis: Foundations and Methods, Cambridge University Press (2001).
18. R. Cooke, The total time on test statistic and age-dependent censoring, Stat. and Prob. Let. 18 (1993).
19. H. Langseth and B. Lindqvist, A maintenance model for components exposed to several failure mechanisms and imperfect repair, in B. L. K. Doksum (Ed.), Mathematical and Statistical Methods in Reliability, pp. 415-430. World Scientific Publishing (2003).
20. C. Bunea, R. Cooke, and B. Lindqvist, Competing risk perspective over reliability databases, in H. Langseth and B. Lindqvist (Eds.), Proceedings of Mathematical Methods in Reliability, NTNU Press (2002).
21. A. Christer, Stochastic Models in Reliability and Maintenance, Chapter A review of delay time analysis for modelling plant maintenance, Springer (2002).
22. P. Hokstadt and U. Jensen, “Predicting the failure rate for components that go through a degradation state,” Safety and Reliability, Lydersen, Hansen and Sandtorv(eds) Balkema, Rotterdam, pp. 389-396, (1998).
23. T. Bedford and B. H. Lindqvist, The Identifiability Problem for Repairable Systems Subject to Competing Risks, Advances in Applied Probability 36, 774-790 (2004).