Supra-bayesian pooling of priors linked by a deterministic simulation model

Communications in Statistics Part B: Simulation and Computation

Volumn 30, Issue 3, 2001, Pages 447-476

  Roback, Paul J ^a   Givens, Geof H ^b  

^a The Holleran Center for Community Action and Public Policy   (United States)

^b Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

Bayesian inference; Expert opinion; External bayesianity; Prior aggregation; Relative propensity consistency

Indexed keywords

EID: 31244431737     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1081/SAC-100105073     Document Type: Article

References (26)

1. Hethcote, H. W.; van Ark, J. W.; Longini, Jr., I. M. A simulation model of AIDS in San Francisco: I. Model formulation and parameter estimation. Mathematical Biosciences, 1991, 706, 203-222.
2. Hethcote, H. W.; van Ark, J. W.; Karon, J. M. A simulation model of AIDS in San Francisco: II. Simulations, therapy, and sensitivity analysis. Mathematical Biosciences, 1991, 706, 223-247.
3. Breiwick, J. M.; Eberhardt, L. L.; Braham, H. W. Population dynamics of western arctic bowhead whales (balaena mysticetus). Canadian Journal of Fisheries and Aquatic Sciences, 1984, 41, 484-496.
4. Raftery, A. E.; Givens, G. H.; Zeh, J. E. Inference from a deterministic population dynamics model for bowhead whales (with discussion). Journal of the American Statistical Association, 1995, 90, 402-430.
5. Pritsker, A. A. B. Introduction to Simulation and SLAM II, 3rd edition, Systems Publishing Corp., West Lafayette, IN, 1986.
6. Green, E. J.; Strawderman, W. E. A Bayesian growth and yield model for slash pine plantations. Journal of Applied Statistics, 1996, 23, 285-299.
7. Rawlings, J. O. Applied Regression Analysis: A Research Tool, Wadsworth and Brooks, Pacific Grove, CA, 1988.
8. McKay, M. D.; Beckman, R. J.; Conover, W. J. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics, 1979, 27, 239-245.
9. Avramidis, A. N.; Wilson, J. R. Integrated variance reduction strategies for simulation. Operations Research, 1996, 44, 327-346.
10. Iman, R. L.; Helton, J. C. An investigation of uncertainty and sensitivity analysis techniques for computer models. Risk Analysis, 1988, S, 71-90.
11. Blower, S. M.; Dowlatabadi, H. Sensitivity and uncertainty analysis of complex models of disease transmission: an HIV model, as an example. International Statistical Review, 1994, 62, 229-243.
12. Givens, G. H.; Roback, P. J. Logarithmic pooling of priors linked by a deterministic simulation model. Journal of Computational and Graphical Statistics, 1999, 8, 457-478.
13. French, S. Group consensus probability distributions: A critical survey. Bayesian Statistics 2; Bernardo, J. M.; DeGroot, M. H.; Lindley, D.; and Smith, A. F. M., editors; Elsevier Science Publishers B. V., Amsterdam, 1985; 183-202.
14. Genest, C.; Zidek, J. V. Combining probability distributions: A critique and an annotated bibliography (with discussion). Statistical Science, 1986, 7, 114-148.
15. McComvay, K. J. The combination of experts' opinions in probability assessment: some theoretical considerations. PhD thesis: University College London, 1978.
16. Madansky, A. Externally Bayesian groups. Unpublished manuscript: University of Chicago, 1978.
17. Poole, D.; Raftery, A. E. Assessment of the Bering-Chukchi-Beaufort Seas stock of bowhead whales using Bayesian and full pooling Bayesian synthesis methods. Paper SC/50/AS6 presented to the IWC Scientific Committee: 1998.
18. Cooke, R. M. Experts in Uncertainty: Opinion and Subjective Probability in Science, Oxford University Press, New York, 1991.
19. Lindley, D. V. Reconciliation of discrete probability distributions. Bayesian Statistics 2; Bernardo, J. M.; DeGroot, M. H.; Lindley, D.; and Smith, A. F. M., editors; Elsevier Science Publishers B. V., Amsterdam, 1985; 375-390.
20. Winkler, R. L. Combining probability distributions from dependent information sources. Management Science, 1981, 27, 479-488.
21. Lindley, D. V. Reconciliation of probability distributions. Operations Research, 1983, 31, 866-880.
22. Genest, C. A characterization theorem for externally Bayesian groups. Annals of Statistics, 1984, 72, 1100-1105.
23. Genest, C.; Weerahandi, S.; Zidek, J. V. Aggregating opinions through logarithmic pooling. Theory and Decision, 1984, 17, 61-70.
24. French, S. Consensus of opinion. European Journal of Operational Research, 1981, 7, 332-340.
25. Lindley, D. V.; Tversky, A.; Brown, R. V. On the reconciliation of probability assessments. Journal of the Royal Statistical Society, Series A, 1979, 142, 146-180.
26. Roback, P. J. The pooling of prior distributions via logarithmic and supra-Bayesian methods with application to Bayesian inference in deterministic simulation models. PhD thesis: Colorado State University, Department of Statistics, 1998.