Simultaneous Posterior Probability Statements From Monte Carlo Output

Journal of Computational and Graphical Statistics

Volumn 13, Issue 1, 2004, Pages 20-35

  Held, Leonhard ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

Contour probability; Highest posterior density region; Monte Carlo; Rao Blackwell; Simultaneous credible bands; Simultaneous inference

Indexed keywords

EID: 1842591334     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/1061860043083     Document Type: Review

References (16)

1. Bernardinelli, L., Clayton, D., and Montomoli, C. (1995), "Bayesian Estimates of Disease Maps: How Important are Priors?" Statistics in Medicine, 14, 2411-2431.
2. Bernardinelli, L., Pascutto, C., Best, N. G., and Gilks, W. R. (1997), "Disease Mapping with Errors in Covariates," Statistics in Medicine, 16, 741-752.
3. Besag, J. E., Green, P. J., Higdon, D. M., and Mengersen, K. L. (1995), "Bayesian Computation and Stochastic Systems" (with discussion), Statistical Science, 10, 3-66.
4. Box, G. E. P., and Tiao, G. C. (1973), Bayesian Inference in Statistical Analysis, Reading, MA: Addison-Wiley. Reprinted by Wiley in 1992 in the Wiley Classics Library Edition.
5. Carlin, B. P., and Louis, T. A. (2000), Bayes and Empirical Bayes Methods for Data Analysis (2nd ed.), London: Chapman and Hall/CRC.
6. Fahrmeir, L., and Knorr-Held, L. (2000), "Dynamic and Semiparametric Models," in Smoothing and Regression: Approaches, Computation and Applications, ed. M. Schimek, New York: Wiley, chap. 18, pp. 513-544.
7. Gelfand, A. E., and Smith, A. F. M. (1990), "Sampling-Based Approaches to Calculating Marginal Densities," Journal of the American Statistical Association, 85, 398-409.
8. Gelman, A., Carlin, J. B., Stern, H. S., and Rubin, D. B. (1995), Bayesian Data Analysis, London: Chapman and Hall.
9. Goldstein, H., and Spiegelhalter, D. J. (1996), "League Tables and Their Limitations: Statistical Issues in Comparisons of Institutional Performance" (with discussion), Journal of the Royal Statistical Society, Ser. A, 159, 385-443.
10. Kashiwagi, N., and Yanagimoto, T. (1992), "Smoothing Serial Count Data Through a State-Space Model," Biometrics, 48, 1187-1194.
11. Knorr-Held, L. (1999), "Conditional Prior Proposals in Dynamic Models," Scandinavian Journal of Statistics, 26, 129-144.
12. Knorr-Held, L., and Rue, H. (2002), "On Block Updating in Markov Random Field Models for Disease Mapping," Scandinavian Journal of Statistics, 29, 597-614.
13. Miller, R. (1985), "Multiple Comparisons," in Encyclopedia of Statistical Sciences (vol. 5), eds. S. Kotz and N. L. Johnson, New York: Wiley, pp. 679-689.
14. Silverman, B. W. (1986), Density Estimation for Statistics and Data Analysis, London: Chapman and Hall.
15. Tanner, M. A. (1996), Tools for Statistical Inference (3rd ed.), New York: Springer.
16. Wei, G. C. G., and Tanner, M. A. (1990), "Calculating the Content and Boundary of the Highest Posterior Density Region via Data Augmentation," Biometrika, 77, 649-652.