Bayesian D-optimal Accelerated Life Test plans for series systems with competing exponential causes of failure

References

• A. Atkinson, A. Donev, and R. Tobias, Optimum Experimental Designs, with SAS (Oxford Statistical Science Series), Oxford University Press, Oxford, 2007.
   Google Scholar
• K. Chaloner and K. Larntz, Optimal Bayesian design applied to logistic regression experiments, J. Statist. Plann. Inference 21 (1989), pp. 191–208. doi: 10.1016/0378-3758(89)90004-9
   Web of Science ®Google Scholar
• K. Chaloner and K. Larntz, Bayesian design for accelerated life testing, J. Statist. Plann. Inference 33 (1992), pp. 245–259. doi: 10.1016/0378-3758(92)90071-Y
   Web of Science ®Google Scholar
• K. Chaloner and I. Verdinelli, Bayesian experimental design: A review, Statist. Sci. 10 (1995), pp. 273–304. doi: 10.1214/ss/1177009939
   Web of Science ®Google Scholar
• H. Chernoff, Locally optimal designs for estimating parameters, Ann. Stat. 24 (1953), pp. 586–602. doi: 10.1214/aoms/1177728915
   Web of Science ®Google Scholar
• H. Chernoff, Optimal accelerated life designs for estimation, Technometrics 4 (1962), pp. 381–408. doi: 10.1080/00401706.1962.10490020
   Web of Science ®Google Scholar
• A. Erkanli and R. Soyer, Simulation-based designs for accelerated life tests, J. Statist. Plann. Inference 90 (2000), pp. 335–348. doi: 10.1016/S0378-3758(00)00126-9
   Web of Science ®Google Scholar
• D. Firth and J.P. Hinde, On Bayesian D-optimum design criteria and the equivalence theorem in non-linear models, J. R. Statist. Soc., Ser. B 59 (1997), pp. 793–797. doi: 10.1111/1467-9868.00096
   Google Scholar
• J.P. Klein and A.P. Basu, Accelerated life tests under competing Weibull causes of failure, Commun. Stat. Theory Methods 11 (1982), pp. 2271–2286. doi: 10.1080/03610928208828388
   Web of Science ®Google Scholar
• X. Liu and L.C. Tang, Accelerated life test plans for repairable systems with multiple independent risks, IEEE Trans. Reliab. 59 (2010), pp. 115–127. doi: 10.1109/TR.2010.2040758
   Web of Science ®Google Scholar
• W.Q. Meeker and L.A. Escobar, Statistical Methods for Reliability Data, Wiley, New York, 1998.
   Google Scholar
• M.L. Moeschberger and H.A. David, Life tests under competing causes of failure and the theory of competing risks, Biometrics 27 (1971), pp. 909–933. doi: 10.2307/2528828
   Web of Science ®Google Scholar
• C. Mukhopadhyay and S. Roy, Bayesian accelerated life testing under competing log-location-scale family of causes of failure, Comput. Stat. (2015). doi:10.1007/s00180-015-0602-x.
   Google Scholar
• W.B. Nelson, Accelerated Testing: Statistical Models, Test Plans and Data Analysis, Wiley, New York, 1990.
   Google Scholar
• W.B. Nelson, A bibliography of accelerated test plans, IEEE Trans. Reliab. 54 (2005), pp. 194–197. doi: 10.1109/TR.2005.847247
   Web of Science ®Google Scholar
• W.B. Nelson, A bibliography of accelerated test plans part II – references, IEEE Trans. Reliab. 54 (2005), pp. 370–373. doi: 10.1109/TR.2005.853289
   Web of Science ®Google Scholar
• F. Pascual, Accelerated life test planning with independent Weibull competing risks with known shape parameter, IEEE Trans. Reliab. 56 (2007), pp. 85–93. doi: 10.1109/TR.2006.890885
   Web of Science ®Google Scholar
• F. Pascual, Accelerated life test planning with independent Weibull competing risks, IEEE Trans. Reliab. 57 (2008), pp. 435–444. doi: 10.1109/TR.2008.928205
   Web of Science ®Google Scholar
• F. Pascual, Accelerated life test planning with independent lognormal competing risks, J. Statist. Plann. Inference 140 (2010), pp. 1089–1100. doi: 10.1016/j.jspi.2009.11.003
   Web of Science ®Google Scholar
• E.R. Pinto and A.P. de Leon, On Bayesian D-optimal design criteria and the general equivalence theorem in joint generalized linear models for the mean and dispersion, Braz. J. Probab. Stat. 28 (2014), pp. 483–491.
   Google Scholar
• N.G. Polson, A Bayesian perspective on the design of accelerated life tests, in Advances in Reliability, A.P. Basu, ed., Elsevier, New York, 1993, pp. 321–330.
   Google Scholar
• I. Verdinelli, N.G. Polson, and N.D. Singpurwalla, Shannon information and Bayesian design for prediction in accelerated life testing, in Reliability and Decision Making, R.E. Barlow, C.A. Clarotti and F. Spizzichino, eds., Chapman & Hall, London, 1993, pp. 247–256.
   Google Scholar
• P. Whittle, Some general points in the theory of optimal experimental design, J. R. Statist. Soc., Ser. B 35 (1973), pp. 123–130.
   Google Scholar
• Y. Zhang and W.Q. Meeker, Bayesian methods for planning accelerated life tests, Technometrics 48 (2006), pp. 49–60. doi: 10.1198/004017005000000373
   Web of Science ®Google Scholar