Statistical inference on constant stress accelerated life tests under generalized gamma lifetime distributions

Quality and Reliability Engineering International

Volumn 29, Issue 5, 2013, Pages 631-638

  Fan, Tsai Hung ^a   Yu, Chia Hsiang ^a  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

accelerated life tests; generalized gamma distributions; likelihood ratio test; maximum likelihood estimate

Indexed keywords

ACCELERATED LIFE TESTS; CONSTANT-STRESS ACCELERATED LIFE TEST; GENERALIZED GAMMA DISTRIBUTION; LIFE-TIME DISTRIBUTION; LIKELIHOOD RATIO TESTS; MAXIMUM LIKELIHOOD APPROACHES; MAXIMUM LIKELIHOOD ESTIMATE; STATISTICAL INFERENCE;

MAXIMUM LIKELIHOOD ESTIMATION; RELIABILITY ANALYSIS; STATISTICAL METHODS;

TESTING;

EID: 84880785869     PISSN: 07488017     EISSN: 10991638     Source Type: Journal    
DOI: 10.1002/qre.1412     Document Type: Article

References (16)

1. Nelson W,. Accelerated life testing-step-stress models and data analysis. IEEE Transactions on Reliability 1980; 29: 103-108. (Pubitemid 11453867)
2. Miller R, Nelson W,. Optimum simple step stress plans for accelerated life testing. IEEE Transactions on Reliability 1983; 32: 59-65. (Pubitemid 13554901)
3. Meeker WQ, Escobar LK,. Statistical Methods for Reliability Data. Wiley: New York, 1998.
4. Bagdonavicius V, Nikulin MS,. Accelerated Life Models: Modeling and Statistical Analysis. Chapman & Hall: Boca Raton, 2002.
5. Escobar LK, Meeker WQ,. A review of accelerated test models. Statistical Science 2006; 21: 552-577.
6. van Dorp JR, Mazzuchi TA, Fornell GE, Pollock LR,. A Bayes approach to step-stress accelerated life testing. IEEE Transactions on Reliability 1996; 45: 491-498. (Pubitemid 126771060)
7. van Dorp JR, Mazzuchi TA,. A general Bayes exponential inference model for accelerated life testing. Journal of Statistical Planning and Inference 2004; 119: 55-74. (Pubitemid 37387263)
8. Stacy EW,. A generalization of the gamma distribution. Annals of Mathematical Statistics 1962; 33: 1187-1192.
9. Lawless JF,. Inference in the generalized gamma and log-gamma distribution. Technometrics 1980; 22: 409-419. (Pubitemid 11429349)
10. Lawless JF,. Statistical Models and Methods for Lifetime Data. Wiley: New York, 1982.
11. Fan TH, Balakrishnan N, Chang CC,. Bayesian approach for highly reliable electro-explosive devices using one-shot device testing. Journal of Statistical Computation and Simulation 2008; 79: 1143-1154.
12. Cox C, Chu H, Schneider MF, Muñoz A,. Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution. Statistics in Medicine 2007; 26: 4352-4374. (Pubitemid 47430381)
13. Efron B,. Bootstrap method: another look at the jacknife. The Annals of Statistics 1979; 17: 1-26.
14. Liu SL,. Some statistical aspects of the products with low defective rate. PhD Thesis, National Tsing Hua University, Taiwan (R.O.C), 2009.
15. Nelson W,. Accelerated testing: statistical models, test plans, and data analysis. John Wiley & Sons, Inc.: Hoboken, NJ, 1990.
16. The International union of pure and applied chemistry (IUPAC) website, 2005. http://goldbook.iupac.org/index.html