Optimal step-stress test under Type-I censoring for multivariate exponential distribution

Journal of Statistical Planning and Inference

Volumn 142, Issue 7, 2012, Pages 1908-1923

  Guan, Qiang ^a,b   Tang, Yincai ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

^b SANMING UNIVERSITY   (China)

Author keywords

Accelerated life testing; D optimality; Fisher information; Marshall Olkin multivariate exponential distribution; Type I censoring; V optimality

Indexed keywords

EID: 84858750499     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2012.02.029     Document Type: Article

References (25)

1. Bai D.S., Kim M.S., Lee S.H. Optimum simple step-stress accelerated life tests with censoring. IEEE Transactions on Reliability 1989, 38:528-532.
2. Bai D.S., Chun Y.R. Optimum simple step-stress accelerated life-tests with competing causes of failure. IEEE Transactions on Reliability 1991, 40:622-627.
3. Balakrishnan N., Xie Q. Exact inference for a simple step-stress model with Type-I hybrid censored data from the exponential distribution. Journal of Statistical Planning and Inference 2007, 137:3268-3290.
4. Balakrishnan N., Xie Q. Exact inference for a simple step-stress model with Type-II hybrid censored data from the exponential distribution. Journal of Statistical Planning and Inference 2007, 137:2543-2563.
5. Balakrishnan N. A synthesis of exact inferential results for exponential step-stress models and associated optimal accelerated life-tests. Metrika 2009, 69:351-396.
6. Balakrishnan N., Han D.H. Optimal step-stress testing for progressive Type-I censored data from exponential distribution. Journal of Statistical Planning and Inference 2009, 139:1782-1798.
7. Balakrishnan N., Xie Q., Kundu D. Exact inference for a simple step-stress model from the exponential distribution under time constraint. Annals of the Institute of Statistical Mathematics 2009, 61:251-274.
8. Elsayed E.A., Zhang H. Design of optimum simple step-stress accelerated life testing plans. Recent Advances in Stochastic Operations Research 2007, 23-38.
9. Fan T.H., Wang W.L., Balakrishnan N. Exponential progressive step-stress life-testing with link function based on Box-Cox transformation. Journal of Statistical Planning and Inference 2008, 138:2340-2354.
10. Gouno E., Sen A., Balakrishnan N. Optimal step-stress test under progressive Type-I censoring. IEEE Transactions on Reliability 2004, 53:383-393.
11. Joe H. Families of min-stable multivariate exponential and multivariate extreme value distributions. Statistics & Probability Letters 1990, 9:75-81.
12. Khamis I.H. Optimum M-step, step-stress test with k stress variables. Communications in Statistics-Simulation and Computation 1997, 26:1301-1313.
13. Khamis I.H., Higgins J.J. Optimum 3-step step-stress tests. IEEE Transactions on Reliability 1996, 45:341-345.
14. Li G.A. A characterization of the multivariate Marshall-Olkin exponential distribution and its parameter estimation. Chinese Journal of Engineering Mathematics 2005, 22(6):1055-1062.
15. Lu J.C. Bayes parameter estimation for the bivariate Weibull model of Marshall-Olkin for censored data. IEEE Transactions on Reliability 1992, 41:608-615.
16. Marshall A.W., Olkin I. A Multivariate exponential distribution. Journal of the American Statistical Association 1967, 62(317):30-44.
17. Meeker W.Q., Escobar L.A. Statistical Methods for Reliability Data 1998, Wiley, New York.
18. Miller R., Nelson W. Optimum simple step-stress plans for accelerated life testing. IEEE Transactions on Reliability 1983, 32:59-65.
19. Nelson W. Accelerated Testing: Statistical Models, Test Plans, and Data Analyses 1990, Wiley, New York.
20. Rao C.R., Mitra S.K. Generalized Inverse of Matrices and its Applications 1971, Wiley, New York.
21. Sarkar S.K. A continuous bivariate exponential distribution. Journal of the American Statistical Association 1987, 82(398):667-675.
22. Sarhan M.A. Analysis of incomplete, censored data in competing risks models with generalized exponential distributions. IEEE Transactions on Reliability 2007, 56:132-138.
23. Wu S.J., Lin Y.P., Chen S.T. Optimal step-stress test under type I progressive group-censoring with random removals. Journal of Statistical Planning and Inference 2008, 138:817-826.
24. Wang B.X. Interval estimation for exponential progressive Type-II censored step-stress accelerated life-testing. Journal of Statistical Planning and Inference 2010, 140:2706-2718.
25. Xiong C. Inferences on a simple step-stress model with Type-II censored exponential data. IEEE Transactions on Reliability 1998, 47:142-146.