Correction to: Validation of Software for Bayesian Models using Posterior Quantiles (Journal of Computational and Graphical Statistics, (2006), 15, (675-692), 10.1198/106186006X136976);Validation of software for Bayesian models using posterior quantiles

Journal of Computational and Graphical Statistics

Volumn 15, Issue 3, 2006, Pages 675-692

  Cook, Samantha R ^a   Gelman, Andrew ^a   Rubin, Donald B ^b  

^a Och Spine at New York Presbyterian Hospitals   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Gibbs sampler; Hierarchical models; Markov chain Monte Carlo; Posterior distribution

Indexed keywords

EID: 33749668496     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.2017.1377082     Document Type: Erratum

References (22)

1. Agans, D. (2002), Debugging, New York: Amacom.
2. Armitage, P., McPherson, C., and Rowe, B. (1969), "Repeated Significance Tests on Accumulating Data," Journal of the Royal Statistics Society, Series A, 132, 235-244.
3. Bayarri, M., and Berger, J. (1999), "Quantifying Surprise in the Data and Model Verification," in Bayesian Statistics 6, eds. J. Bernardo, J. Berger, A. Dawid, and A. Smith, Oxford, UK: Oxford University Press, Oxford.
4. Box, G. (1980), "Sampling and Bayes' Inference in Statistical Modelling and Robustness" (with discussion), Journal of the Royal Statistical Society, Series B, 143, 383-430.
5. Cook, S. R. (2004), "Modeling Monotone Nonlinear Disease Progression and Checking the Correctness of the Associated Software," unpublished Ph.D. Thesis, Harvard University.
6. Dempster, A., Laird, N. M., and Rubin, D. B. (1977), "Maximum Likelihood Estimation from Incomplete Data via the EM Algorithm" (with discussion), Journal of the Royal Statistical Society, Series B, 39, 1-38.
7. Dey, D., Gelfand, A., Swartz, T., and Vlachos, P. (1998), "Simulation Based Model Checking for Hierarchical Models," Test, 7, 325-346.
8. Gelfand, A., and Smith, A. (1990), "Sampling-Based Approaches to Calculating Marginal Densities," Journal of the American Statistical Association, 85, 398-409.
9. Gelman, A. (1992), "Iterative and Non-iterative Simulation Algorithms," Computing Science and Statistics, 24, 433-438.
10. Gelman, A., Carlin, J., Stern, H., and Rubin, D. (2003), Bayesian Data Analysis (2nd ed.), London: Chapman & Hall.
11. Gelman, A., Meng, X.-L., and Stern, H. (1996), "Posterior Predictive Assessment of Model Fitness via Realized Discrepancies" (with discussion), Statistica Sinica, 6, 733-807.
12. Gelman, A., and Rubin, D. (1992), "Inference from Iterative Simulation Using Multiple Sequences" (with discussion Statistical Science, 7, 457-511.
13. Geman, S., and Geman, D. (1984), "Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images," IEEE Transaction on Pattern Analysis and Machine Intelligence 6, 721-741.
14. Geweke, J. (2004), "Getting it Right: Joint Distribution Tests of Posterior Simulators," Journal of the American Statistical Association, 99, 799-804.
15. Gilks, W., Richardson, S., and Spiegelhalter, D. (eds.) (1996) Markov Chain Monte Carlo in Practice, Boca Raton, FL: Chapman & Hall.
16. Liu, J. S. (2001), Monte Carlo Strategies in Scientific Computing, New York: Springer.
17. Neyman, J. (1934), "On the Two Different Aspects of the Representative Method: The Method of Stratified Sampling and the Method of Purposive Selection," Journal of the Royal Statistical Society, 97, 558-625.
18. Rosenthal, R., and Rubin, D. B. (1986), "Meta-analytic Procedures for Combining Studies with Multiple Effect Sizes," Psychological Bulletin, 99, 400-406.
19. Rubin, D. B. (1984), "Bayesianly Justifiable and Relevant Frequency Calculations for the Applied Statistician," The Annals of Statistics, 12, 1151-1172.
20. Sinharay, S., and Stern, H. (2003), "Posterior Predictive Model Checking in Hierarchical Models," Journal of Statistical Planning and Inference, 111, 209-221.
21. Smith, A., and Roberts, G. (1993), "Bayesian Computation via the Gibbs Sampler and Related Markov Chain Monte Carlo Methods" (with disussion), Journal of the Royal Statistical Society, Series B, 55, 3-102.
22. Tierney, L. (1998), "A Note on the Metropolis Hastings Algorithm for General State Spaces," Annals of Applied Probability, 8, 1-9.