A dependent competing risk model with multiple degradation processes and random shocks using constant copulas

Proceedings - 16th ISSAT International Conference on Reliability and Quality in Design

Volumn , Issue , 2010, Pages 100-104

  Wang, Yaping ^a   Pham, Hoang ^a  

^a DEPARTMENT OF INDUSTRIAL AND SYSTEMS ENGINEERING   (United States)

Author keywords

Copulas; Dependent competing risk; Extreme shock; Multiple degradation

Indexed keywords

COPULAS; COVARIATES; DEGRADATION PROCESS; DEPENDENT COMPETING RISKS; EXTREME SHOCK; MULTIPLE DEGRADATIONS; RANDOM SHOCKS;

RISK ASSESSMENT;

STRUCTURAL DESIGN;

EID: 84886891755     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. W. Li and H. Pham, "An Inspection-Maintenance Model for Systems with Multiple Competing Processes", IEEE Trans on Reliability, vol. 54, no., June 2005, p. 318-327
2. H. Pham, A. Suprasad and R.B. Misra, "Availability and Mean Life Time Prediction of Multistage Degraded System with Partial Repairs", Reliability Engineering and System Safety Journal, vol. 56, 1997, p. 169-173
3. W. Li and H. Pham, "Reliability Modeling of Multi-State Degraded Systems With Multi Competing Failures and Random Shocks", IEEE Trans on Reliability, vol. 54, no. 2, June 2005, p. 297-303
4. J.M. van Noortwijk, J.A.M. van der Weide, M.J. Kallen, and M.D. Pandey, "Gamma Processes and Peaks-overthreshold Distributions for Time-dependent Reliability", Reliability Engineering and System Safety, 92 (2007), 1651-1658
5. H. Pham, "A New Mathematical Reliability Function Considering Operational Environments", International Journal of Performability Engineering, vol 1, no. 2, October 2005
6. J.P. Kharoufeh, D.E. Finkelstein, and D.G. Mixon, "Availability of Periodically Inspected Systems with Markovian Wear and Shocks", Journal of Applied Probability, 43, 303-317, 2007
7. J. Fan, S.G. Ghurye, and R. A. Levine, "Multicomponent Lifetime Distributions in the Presence of Ageing", Journal of Applied Probability, 37, 521-533, 2000
8. V. K. Kaishev and D. S. Haberman, "Modeling the Joint Distribution of Competing Risks Survival Times using Copula Functions", Insurance: Mathematics and Economics, 41(3), 2007, 339-361
9. T. Bedford, "Copulas, Degenerate Distributions and Quantile Tests in Competing Risk Problems", Journal of Statistical Planning and Inference, 136(5), 2006, 1572-1587
10. S. M.S. Lo and R. A. Wilke, "A copula model for dependent competing risks", Journal of the Royal Statistical Society, Series C (Applied Statisics), 59(2), 2010, 359-376.
11. H. Pham and M. Xie "A Generalized Surveillance Model with Applications to Systems Safety", IEEE Transactions on Systems, Man, and Cybernetics-Part C, vol.32, no.4, November 2002, p. 485-492
12. S.J. Bae and P.H. Kvam, "A Nonlinear Random Coefficients Model for Degradation Testing", Technometrics, 46(4), 460-469, 2005
13. S. J. Bae, W. Kuo, and P. H. Kvam, "Degradation Models and Implied Lifetime Distributions", Reliability Engineering &System Safety, 92, 601-608, 2007.
14. R.B. Nelson (2006), An Introduction to Copulas, 2rd edition, Springer, New York
15. U. Cherubini, E. Luciano, and W. Vecchiato (2004), Copula Methods in Finance, John Wiley &Sons Ltd, England