Modelling of dependence between critical failure and preventive maintenance: The repair alert model

Journal of Statistical Planning and Inference

Volumn 136, Issue 5, 2006, Pages 1701-1717

  Lindqvist, Bo H ^a   Støve, Bård ^a,b   Langseth, Helge ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b UNIVERSITY OF BERGEN   (Norway)

Author keywords

Competing risks; EM algorithm; Random signs censoring

Indexed keywords

EID: 30944452831     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.10.033     Document Type: Article

References (12)

1. T. Bedford R. Cooke Probabilistic Risk Analysis: Foundations and Methods 2001 Cambridge University Press Cambridge
2. R.M. Cooke The total time on test statistic and age-dependent censoring Statist. Probab. Lett. 18 1993 307-312
3. R.M. Cooke The design of reliability databases, Part I and II Reliability Eng. System Safety 51 1996 137-146 and 209-223
4. M. Crowder Classical Competing Risks 2001 Chapman & Hall/CRC Boca Raton
5. A.P. Dempster N.M. Laird D.B. Rubin Maximum likelihood from incomplete data via the EM algorithm J. Roy. Statist. Soc. Ser. B 39 1977 1-38
6. I. Dewan J.V. Deshpande S.B. Kulathinal On testing dependence between time to failure and cause of failure via conditional probabilities Scand. J. Statist. 31 2004 79-91
7. Langseth, H., Lindqvist, B.H., 2003. A maintenance model for components exposed to several failure mechanisms and imperfect repair. In: Lindqvist, B.H., Doksum, K.A. (Eds.), Mathematical and Statistical Methods in Reliability. Series on Quality, Reliability and Engineering Statistics, vol. 7, World Scientific Publishing, Singapore, pp. 415-430.
8. Langseth, H., Lindqvist, B.H., 2005. Competing risks for repairable systems: A data study. J. Statist. Plann. Inference (Special Issue on Competing Risks), doi: 10.1016/j.jspi.2004.10.032.
9. W. Mendenhall R.J. Hader Estimation of parameters of mixed exponentially distributed failure time distributions from censored life test data Biometrika 45 1958 504-520
10. S.M. Ross Stochastic Processes 1983 Wiley New York
11. Støve, B., 2002. Competing risk models. Master Thesis, Department of Mathematical Sciences, Norwegian University of Science and Technology.
12. Tsiatis, A., 1975. A nonidentifiability aspect of the problem of competing risks. Proceedings of the National Academy of Sciences, USA, vol. 72, pp. 20-22.