References
- Collett, D. (1994), Modelling Survival Data in Medical Research, Boca Raton, FL: Chapman and Hall.
- Cook, A. R., Gibson, G. J., and Gilligan, C. A. (2008), “Optimal Observation Times in Experimental Epidemic Processes,” Biometrics, 64, 860–868. DOI: https://doi.org/10.1111/j.1541-0420.2007.00931.x.
- Easterling, R. (1970), “On the Use of Prior Distributions in Acceptance Sampling,” Annals of Reliability and Maintainability, 9, 31–35.
- Elsayed, E. (2012), “Overview of Reliability Testing,” IEEE Transactions on Reliability, 61, 282–291. DOI: https://doi.org/10.1109/TR.2012.2194190.
- Garthwaite, P. H., Kadane, J. B., and O’Hagan, A. (2005), “Statistical Methods for Eliciting Probability Distributions,” Journal of the American Statistical Association, 100, 680–701. DOI: https://doi.org/10.1198/016214505000000105.
- Hamada, M. S., Wilson, A. G., Reese, C., and Martz, H. F. (2008), Bayesian Reliability, New York: Springer.
- Hamada, M. S., Wilson, A. G., Weaver, B. P., Griffiths, R. W., and Martz, H. F. (2014), “Bayesian Binomial Assurance Tests for System Reliability Using Component Data,” Journal of Quality Technology, 46, 24–32. DOI: https://doi.org/10.1080/00224065.2014.11917952.
- Jensen, W. (2015), “Binomial Reliability Demonstration Tests With Dependent Data,” Quality Engineering, 27, 253–266. DOI: https://doi.org/10.1080/08982112.2014.964413.
- Lee, I., Hong, Y., Tseng, S., and Dasgupta, T. (2018), “Sequential Bayesian Design for Accelerated Life Tests,” Technometrics, 60, 472–483. DOI: https://doi.org/10.1080/00401706.2018.1437475.
- Lindley, D. V., and Singpurwalla, N. D. (1993), “Adversarial Life Testing,” Journal of the Royal Statistical Society, Series B, 55, 837–847. DOI: https://doi.org/10.1111/j.2517-6161.1993.tb01944.x.
- Lu, L., Li, M., and Anderson-Cook, C. M. (2016), “Multiple Objective Optimization in Reliability Demonstration Tests,” Journal of Quality Technology, 48, 326–342. DOI: https://doi.org/10.1080/00224065.2016.11918172.
- Martz, H. F., Kvam, P. H., and Abramson, L. R. (1996), “Empirical Bayes’ Estimation of the Reliability of Nuclear-Power-Plant Emergency 5 Diesel Generators,” Technometrics, 38, 11–24. DOI: https://doi.org/10.1080/00401706.1996.10484412.
- Martz, H. F., and Waller, R. A. (1982), Bayesian Reliability Analysis, New York: Wiley.
- McKane, S., Escobar, L., and Meeker, W. (2005), “Sample Size and Number of Failure Requirements for Demonstration Tests With Log-Location-Scale Distributions and Failure Censoring,” Technometrics, 47, 182–190. DOI: https://doi.org/10.1198/004017005000000030.
- Mease, D., and Nair, V. (2006), “Extreme (X-) Testing With Binary Data and Applications to Reliability Demonstration,” Technometrics, 48, 399–410. DOI: https://doi.org/10.1198/004017006000000138.
- Meeker, W., and Escobar, L. (2004), “Reliability: The Other Dimension of Quality,” Quality Technology and Quantitative Management, 1, 1–25. DOI: https://doi.org/10.1080/16843703.2004.11673062.
- Miller, F., Zohar, S., Stallard, N., Madan, J., Posch, M., Hee, S., Pearce, M., Vågerö, M., and Day, S. (2018), “Approaches to Sample Size Calculation for Clinical Trials in Rare Diseases,” Pharmaceutical Statistics, 17, 214–230. DOI: https://doi.org/10.1002/pst.1848.
- Muirhead, R., and Şoaita, A. (2013), “On an Approach to Bayesian Sample Sizing in Clinical Trials,” in Advances in Modern Statistical Theory and Applications: A Festschrift in Honor of Morris L. Eaton, eds. G. Jones and X. Shen, Beachwood, OH: Institute of Mathematical Statistics, pp. 126–137.
- Müller, P. (1999), “Simulation-Based Optimal Design,” in Bayesian Statistics 6: Proceedings of the Sixth Valencia International Meeting (Vol. 6), eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford: Oxford University Press, pp. 459–474.
- Müller, P., and Palmer, J. (1996), “Optimal Design via Curve Fitting of Monte Carlo Experiments,” Journal of the American Statistical Association, 90, 1322–1330.
- O’Hagan, A., and Stevens, J. (2001), “Bayesian Assessment of Sample Size for Clinical Trials of Cost-Effectiveness,” Medical Decision Making, 21, 219–230. DOI: https://doi.org/10.1177/02729890122062514.
- O’Hagan, A., Stevens, J., and Campbell, M. (2005), “Assurance in Clinical Trial Design,” Pharmaceutical Statistics, 4, 187–201. DOI: https://doi.org/10.1002/pst.175.
- Plummer, M. (2016), “rjags: Bayesian Graphical Models Using MCMC,” R Package Version 4-6.
- Ren, S., and Oakley, J. (2014), “Assurance Calculations for Planning Clinical Trials With Time-to-Event Outcomes,” Statistics in Medicine, 33, 31–45. DOI: https://doi.org/10.1002/sim.5916.
- Rios Insua, D., Ruggeri, F., Soyer, R., and Rasines, D. G. (2018), “Adversarial Issues in Reliability,” European Journal of Operational Research, 266, 1113–1119. DOI: https://doi.org/10.1016/j.ejor.2017.10.035.
- Rios Insua, D., Ruggeri, F., Soyer, R., and Wilson, S. (2020), “Advances in Bayesian Decision Making in Reliability,” European Journal of Operational Research, 282, 1–18. DOI: https://doi.org/10.1016/j.ejor.2019.03.018.
- Rufo, M., Martín, J., and Perez, C. (2014), “Adversarial Life Testing: A Bayesian Negotiation Model,” Reliability Engineering & System Safety, 131, 118–125.
- Spiegelhalter, D., Abrams, K., and Myles, J. (2004), Bayesian Approaches to Clinical Trials and Health-Care Evaluations, New York: Wiley.
- Spiegelhalter, D., Freedman, L., and Parmar, M. (1994), “Bayesian Approaches to Randomized Trials,” Journal of the Royal Statistical Society, Series A, 157, 357–416. DOI: https://doi.org/10.2307/2983527.
- Tobias, P., and Trindade, D. (1995), Applied Reliability, Boca Raton, FL: Chapman and Hall.
- Walley, R., Smith, C., Gale, J., and Woodward, P. (2015), “Advantages of a Wholly Bayesian Approach to Assessing Efficacy in Early Drug Development: A Case Study,” Pharmaceutical Statistics, 14, 205–215. DOI: https://doi.org/10.1002/pst.1675.
- Winkler, R. (1967), “The Assessment of Prior Distributions in Bayesian Analysis,” Journal of the American Statistical Association, 62, 776–880. DOI: https://doi.org/10.1080/01621459.1967.10500894.