Accelerated life test planning with independent Weibull competing risks

IEEE Transactions on Reliability

Volumn 57, Issue 3, 2008, Pages 435-444

  Pascual, Francis ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

Arrhenius relationship; Asymptotic variance; D optimality; Ds optimality; Fisher information; Maximum likelihood estimation; Optimal plans; Time failure censoring

Indexed keywords

ASYMPTOTIC ANALYSIS; RANDOM VARIABLES; TESTING;

ARRHENIUS RELATIONSHIP; ASYMPTOTIC VARIANCE; D-OPTIMALITY; DS-OPTIMALITY; FISHER INFORMATION; MAXIMUM LIKELIHOOD ESTIMATION; OPTIMAL PLANS; TIME-FAILURE CENSORING;

RISK PERCEPTION;

EID: 51449090740     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2008.928205     Document Type: Article

References (23)

1. W. Nelson, Accelerated Testing: Statistical Models, Test Plans, and Data Analyses. :JOhn Wiley & Sons, Inc., 1990.
2. R. V. Crain and I. C. M. Lee, "Model selection for the competing-risks model with and without masking," Technometrics, vol. 47, pp. 457-467, Nov. 2005.
3. C. M. Kim and D. S. Rai, "Analyses of accelerated life to test data under two failure modes," International Journal of Reliability, Quality and Safety Engineering, pp. 111-126, Jun. 2002.
4. M. L. Moeschberger and H. A. David, "Life tests under competing risks of failure and the theory of competing risk," Biometrics, vol. 27, pp. 227-242, Dec. 1971.
5. H. A. David and M. L. Moeschberger, The Theory of Competing Risks. :MAcmillan Publishing, Co., Inc., 1978.
6. J. P. Klein and A. P. Basu, "Weibull accelerated life tests when there are competing causes of failure," Communications in Statistics - Theory and Methods, vol., A10, pp. 2073-2100, 1981.
7. J. P. Klein and A. P. Basu, "Accelerated life tests under competing Weibull causes of failure," Communications in Statistics - Theory and Methods, vol. A11, pp. 2271-2286, 1982.
8. D. S. Bai and Y. R. Chun, "Optimum simple step-stress accelerated life-tests with competing causes of failure," IEEE Trans. Reliability, vol. 40, pp. 622-627, Dec. 1991.
9. W. Zhao and E. A. Elsayed, "An accelerated life testing under competing failure modes." in The Annual Reliability and Maintainability Symposium, Jan. 2004.
10. W. Nelson, "A bibliography of accelerated test plans," IEEE Trans. Reliability, vol. 54, pp. 194-197, Jun. 2005.
11. W. Nelson, "A bibliography of accelerated test plans part II - Reference," IEEE Trans. Reliability, vol. 54, pp. 370-373, Sept. 2005.
12. W. Q. Meeker and L. A. Escobar, Statistical Methods for Reliability Data. : John Wiley & Sons. Inc.. 1998.
13. W. Nelson and T. Kielpinski, "Theory for optinum censored accelerated life tests for normal and lognormal life distributions," Technometrics, vol. 18, pp. 105-114, Feb. 1976.
14. W. Nelson and W. Q. Meeker, "Theory for optimum censored accelerated life tests for Weibull ans extreme value distributions," Technometrics, vol. 20, pp. 171-177, May 1978.
15. W. Q. Meeker and J. G. Hahn, Volume, 10 of the ASQC Basic References in Quality Control: Statistical Techniques. Available from the American Society for Quality Control. Milwaukee, WI, 1985, 310 W. Wisconsin Ave, 53203.
16. F. G. Pascual, "Accelerated life test planning with independent Weibull competing risks with known shape parameter," IEEE Trans. Realibility vol. 56, pp. 85-93, March 2007.
17. F. G. Pascual, "Errata to "Accelerated life test planning with independent Weibull competing risks with known shape parameter"," IEEE Trans. Reliability, to appear in.
18. K. Chaloner and K. Larntz, "Bayesian design for accelerated life testing," Journal of Statistical Planning and Inference, vol. 33, pp. 245-259, Feb. 1992.
19. L. V. White. "An extension of the general equivalence theorem to nonlinear models," Biometrika, vol. 60, pp. 345-348, Aug. 1973, (1973).
20. F. G. Pascual and G. Montepiedra, "Model-robust test plans with applications in accelerated life testing," Technometrics, vol. 45, pp. 47-57, Feb. 2003.
21. J. E. Dennis, D. M. Gay, and R. E. Welsh, "Algorithm 573 - NL2SOL, an adaptive nonlinear least-squares algorithm," ACM Trans. Math. Software, vol. 7, pp. 369-383, Sep. 1981.
22. S. Kotz, N. Balakrishnan, and N. L., Johnson, Continous Multivariate Distributions, Volume 1: Oodels and Applications. :John Wiley & Sons, Inc., 2000.
23. R. Piessens, E. deDoncker-Kapenga, C. Uberhuber, and D. Kahaner, QUADPACK: A Subroutine Package for Automatic Integration. : Springer, 1983.