The effect of model uncertainty on maintenance optimization

IEEE Transactions on Reliability

Volumn 51, Issue 4, 2002, Pages 486-493

  Bunea, Cornel ^a   Bedford, Tim ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Censored data; Competing risks; Copula; Identifiability; Preventive maintenance

Indexed keywords

COST EFFECTIVENESS; ERRORS; MATHEMATICAL MODELS; OPTIMIZATION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; RISKS;

COMPETING RISKS; COPULA; IDENTIFIABILITY; MODEL UNCERTAINTY;

PREVENTIVE MAINTENANCE;

EID: 0036890999     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2002.804486     Document Type: Article

References (12)

1. R. E. Barlow and F. Proschan, Mathematical Theory of Reliability: Wiley, 1965.
2. T. Bedford, "On the use of minimally informative copulae in competing risk problems," in Statistical Probabilistic Models in Reliability, C. Ionescu and N. Limnios, Eds: Birkhauser, 1998.
3. T. Bedford and R. M. Cooke, Probabilistic Risk Analysis: Foundations and Methods: Cambridge, 2001.
4. T. Bedford and I. Meilijson, "The marginal distributions of lifetime variables which right censor each other," in Analysis of Censored Data, H. L. Koul and J. V. Deshpande, Eds. 1995, vol. 27, IMS Lecture Notes Monograph Series.
5. ____, "A characterization of marginal distributions of (possibly dependent) lifetime variables which right censor each other," Ann. Statistics, vol. 25, pp. 1622-1645, 1997.
6. T. Bedford and C. Mesina, "The impact of modeling assumptions on maintenance optimization," in Mathematical Methods in Reliability, N. Limnios and M. Nikulin, Eds: Birkhauser, 2000.
7. R. M. Cooke, "The total time on test statistic and age-dependent censoring," Statistics and Probability Lett., vol. 18, no. 5, 1993.
8. ____ "The design of reliability data bases, Part II," Reliability Engineering and System Safety, vol. 51, no. 2, pp. 209-225, 1996.
9. R. B. Nelsen, An Introduction to Copulas: Springer, 1995.
10. B. Schweizer and E. F. Wolff, "On nonparametric measures of dependence for random variables," Ann. Statistics, vol. 9, pp. 879-885, 1981.
11. A. Tsiatis, "A nonidentifiability aspect in the problem of competing risks," Proc. Nat. Academy of Science USA, vol. 72, pp. 20-22, 1975.
12. M. Zheng and J. P. Klein, "Estimates of marginal survival for dependent competing risks based on an assumed copula," Biometrika, vol. 82, pp. 127-138, 1995.