Gamma lifetimes and one-shot device testing analysis

Reliability Engineering and System Safety

Volumn 126, Issue , 2014, Pages 54-64

  Balakrishnan, N ^a   Ling, M H ^b  

^a MCMASTER UNIVERSITY   (Canada)

^b THE EDUCATION UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Accelerated life test; Asymptotic confidence intervals; Asymptotic estimate; Binary data; EM algorithm; Gamma distribution; One shot device testing; Transformation approach

Indexed keywords

ALGORITHMS; AUTOMOBILE AIR BAGS; BIOINFORMATICS; COVARIANCE MATRIX; MAXIMUM LIKELIHOOD ESTIMATION; METADATA; PROBABILITY DISTRIBUTIONS; RELIABILITY; ROCKETS;

ASYMPTOTIC ESTIMATES; BINARY DATA; CONFIDENCE INTERVAL; DEVICE TESTING; EM ALGORITHMS; GAMMA DISTRIBUTION; LIFE-TESTS; TRANSFORMATION APPROACH;

AUTOMOBILE TESTING;

EID: 84893294553     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2014.01.009     Document Type: Article

References (21)

1. M.D. Morris Sequential experimental design for estimating a scale parameter from quantal life testing data Technometrics 29 1987 173 181
2. T.H. Fan, N. Balakrishnan, and C.C. Chang The Bayesian approach for highly reliable electro-explosive devices using one-shot device testing J Stat Comput Simul 79 2009 1143 1154
3. N. Balakrishnan, and M.H. Ling EM algorithm for one-shot device testing under the exponential distribution Comput Stat Data Anal 56 2012 502 509
4. N. Balakrishnan, and M.H. Ling Multiple-stress model for one-shot device testing data under exponential distribution IEEE Trans Reliab 61 2012 809 821
5. G.J. Husak, J. Michaelsen, and C. Funk Use of the gamma distribution to represent monthly rainfall in Africa for drought monitoring applications Int J Climatol 27 2007 935 944 (Pubitemid 46916388)
6. K. Kwon, and D.M. Frangopol Bridge fatigue reliability assessment using probability density functions of equivalent stress range based on field monitoring data Int J Fatigue 32 2010 1221 1232
7. S.T. Tseng, N. Balakrishnan, and C.C. Tsai Optimal step-stress accelerated degradation test plan for gamma degradation processes IEEE Trans Reliab 58 2009 611 618
8. N. Balakrishnan, and M.H. Ling Expectation maximization algorithm for one shot device accelerated life testing with Weibull lifetimes, and variable parameters over stress IEEE Trans Reliab 62 2013 537 551
9. A.P. Dempster, N.M. Laird, and D.B. Rubin Maximum likelihood from incomplete data via the EM algorithm (with Discussions) J R Stat Soc Ser B 39 1977 1 38
10. G.J. McLachlan, and T. Krishnan The EM algorithm and extensions second edition 2008 John Wiley & Sons Hoboken, NJ
11. T.A. Louis Finding the observed information matrix when using the EM algorithm J R Stat Soc Ser B 44 1982 226 233
12. M. Abramowitz, and I.A. Stegun Handbook of mathematical functions with formulas, graphs, and mathematical tables 1973 Dover New York
13. J.C. Lindsey, and L.M. Ryan A three-state multiplicative model for rodent tumorigenicity experiments J R Stat Soc Ser C 42 1993 283 300
14. M.H. Hoyle Transformations an introduction and a bibliography Int Stat Rev 41 1973 203 223
15. F.J. Anscombe The transformation of Poisson, binomial and negative binomial data Biometrika 35 1948 246 254
16. D.K. Kim, and J.M.G. Taylor Transform-both-sides approach for overdispersed binomial data when N is unobserved J Am Stat Assoc 89 1994 833 845
17. R. Viveros, and N. Balakrishnan Statistical inference from start-up demonstration test data J Qual Technol 25 1993 119 130
18. Y.M.M. Bishop, S.E. Feinberg, and P.W. Holland Discrete multivariate analysis theory and practice 1975 MIT Press Cambridge
19. R.L. Kodell, and C.J. Nelson An illness-death model for the study of the carcinogenic process using survival/sacrifice data Biometrics 36 1980 267 277
20. D.M. Finkelstein, and L.M. Ryan Estimating carcinogenic potency from a rodent tumorigenicity experiment J R Stat Soc Ser C 36 1987 121 133
21. C.Y. Peng, and S.T. Tseng Mis-specification analysis of linear degradation models IEEE Trans Reliab 58 2009 444 455