Reliability Analysis of Multiple Causes of Failure in Presence of Independent Competing Risks

Quality and Reliability Engineering International

Volumn 32, Issue 2, 2016, Pages 363-372

  Chen, Tie ^a   Zheng, Songlin ^a,b   Luo, Hongwei ^c   Liu, Xintian ^a   Feng, Jinzhi ^a,b  

^a UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

^b Machinery Indust Key Lab for Mech Strength and Reliability Evaluation of Auto Chassis Components   (China)

^c University of Arizona   (United States)

Author keywords

Akaike information criterion; fuel cell engine; independent competing risks; maximum likelihood estimators; multiple failure causes

Indexed keywords

COVARIANCE MATRIX; ENGINES; FUEL CELLS; MAXIMUM LIKELIHOOD; NEWTON-RAPHSON METHOD; RISK ASSESSMENT;

AKAIKE INFORMATION CRITERION; COMPETING RISKS; FUEL CELL ENGINE; MAXIMUM LIKELIHOOD ESTIMATOR; MULTIPLE FAILURES;

RELIABILITY ANALYSIS;

EID: 84919465506     PISSN: 07488017     EISSN: 10991638     Source Type: Journal    
DOI: 10.1002/qre.1755     Document Type: Article

References (32)

1. Li ZG, Kong ZY,. A generalized procedure for monitoring right-censored failure time data. Quality, Reliability Engineering International; Online, 4 March 2014.
2. Balakrishnan N, Mitra D,. Likelihood inference based on left Truncated and right censored data from a gamma distribution. IEEE Transactions on Reliability 2013; 62: 679-688.
3. Wang BX, Yu KM, Sheng Z,. New inference for constant-stress accelerated life tests with weibull distribution and progressively type-II censoring. IEEE Transactions on Reliability 2014; 63: 807-815.
4. Prentice RL, Kalbfleish JD, Peterson Jr AV, Flournoy N, Farewell VT, Breslow NE,. The analysis of failure times in presence of competing risks. Biometrics 1978; 34: 541-554.
5. Tsiatis A,. A nonidentifiability aspect of the problem of competing risks. Proceedings of the National Academy of Sciences of the United States of America 1975; 72: 20-22.
6. Cox DR,. The analysis of exponentially distributed lifetimes with two types of failures. Journal of the Royal Statistical Society 1959; 21: 411-421.
7. Ishioka T, Yasuo N,. Maximum likelihood estimation of Weibull parameters for two independent competing risks. IEEE Transactions on Reliability 1991; 40: 71-74.
8. Herman RJ, Patell RKN,. Maximum likelihood estimation for multi-risk model. Technometrics 1971; 13: 385-396.
9. David HA, Moeschberger ML,. The Theory of Competing Risks. Griffin: London, 1978.
10. Crowder MJ,. Classical Competing Risks. Chapman & Hall: Boca Raton, FL, 2001.
11. Lawless JF,. Statistical Models and Methods for Lifetime Data. John Wiley & Sons: New York, 2011.
12. Pintilie M,. Competing Risks: A Practical Perspective. John Wiley & Sons: Chichester, 2006.
13. Xie W, Liao HT, Jin TD,. Maximizing system availability through joint decision on component redundancy and spares inventory. European Journal of Operational Research 2014; 237: 164-176.
14. Balasooriya U, Low CK,. Competing causes of failure and reliability tests for Weibull lifetimes under type I progressive censoring. IEEE Transactions on Reliability 2004; 53: 29-36.
15. Pareek B, Kundu D, Kumar S,. On progressively censored competing risks data for Weibull distributions. Computational Statistics and Data Analysis 2009; 53: 4083-4094.
16. Cramer E, Schmiedt AB,. Progressively Type-II censored competing risks data from Lomax distributions. Computational Statistics and Data Analysis 2011; 55: 1285-1303.
17. Huang W, Askin RG,. Reliability analysis of electronic devices with multiple competing failure modes involving performance aging degradation. Quality, Reliability Engineering International 2003; 19: 241-254.
18. Liu DT, Xie W, Liao HT, Peng Y,. An integrated probabilistic approach to Lithium-Ion battery remaining useful life estimation. IEEE Transactions on Instrumentation and Measurement; Online, 10 September 2014.
19. Park C, Kulasekera KB,. Parametric inference of incomplete data with competing risks among several groups. IEEE Transactions on Reliability 2004; 53: 11-21.
20. Kundu D, Sarhan AM,. Analysis of incomplete data in presence of competing risks among several groups. Reliability, IEEE Transactions on Reliability 2006; 55: 262-269.
21. Kaplan EL, Meier P,. Nonparametric estimation from incomplete observations. Journal of the American Statistical Association 1958; 53: 457-481.
22. Meeker WQ, Escobar LA,. Statistical Methods for Reliability Data. John Wiley & Sons: New York, 1998.
23. Dennis JE, Schnabel RB,. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Prentice-Hall: Englewood Cliffs, NJ, 1983.
24. Nelson WB,. Accelerated Testing:Statistical Models,Test Plans,and Data Analysis. John Wiley & Sons: New York, 2009.
25. Akaike H,. Information theory and an extension of the maximum likelihood principle. In Proceedings of the Second International Symposium on Information Theory, Petrov BN, Csaki F, (eds). Akademiai Kiado: Budapest, 1973; 267-281.
26. Akaike H,. A new look at the statistical model identification. IEEE Transactions on Automatic Control 1974; 19: 716-723.
27. Kullback S, Leibler RA,. On information and sufficiency. The Annals of Mathematical Statistics 1951; 22: 79-86.
28. Sugiura N,. Further analysis of the data by akaike's information criterion and the finite corrections. Communications in Statistics-Theory and Methods 1978; 7: 13-26.
29. Dixon RK, Wang X, Wang MQ, Wang J, Zhang Z,. Development and demonstration of fuel cell vehicles and supporting infrastructure in China. Mitigation and Adaptation Strategies for Global Change 2011; 16: 775-789.
30. Haslam GE, Jupesta J, Parayil G,. Assessing fuel cell vehicle innovation and the role of policy in Japan, Korea, and China. International Journal of Hydrogen Energy 2012; 37: 14612-14623.
31. Wipke K, Sprik S, Kurtz J, Ramsden T, Ainscough C, Saur G,. National fuel cell electric vehicle learning demonstration final report. Contract 2012; 303: 275-3000.
32. Chen T, Zheng SL, Liu XT, Feng JZ,. Statistical reliability analysis for fuel cell vehicle based on field test data. International Journal of Reliability, Quality & Safety Engineering 2014; 21:1450013.