On Bayesian calculations for mixture likelihoods and priors

Statistics in Medicine

Volumn 18, Issue 12, 1999, Pages 1555-1570

  Weiss, Robert E ^a   Cho, Meehyung ^a   Yanuzzi, Michael ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Wells Fargo   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BAYES THEOREM; CALCULATION; DATA ANALYSIS; DEVELOPING COUNTRY; HUMAN; LOW BIRTH WEIGHT; METHODOLOGY; PROBABILITY; STATISTICAL MODEL; SYSTEM ANALYSIS;

BAYES THEOREM; CHILD; FEMALE; HUMANS; INFANT, LOW BIRTH WEIGHT; INFANT, NEWBORN; LIKELIHOOD FUNCTIONS; LOGISTIC MODELS; MALE; MARKOV CHAINS; MODELS, BIOLOGICAL; MONTE CARLO METHOD; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PAIN MEASUREMENT; RANDOM ALLOCATION; TANZANIA;

EID: 0033618086     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19990630)18:12<1555::AID-SIM145>3.0.CO;2-X     Document Type: Article

References (23)

1. George, E. I. and McCulloch, R. E. 'Variable selection via Gibbs sampling', Journal of the American Statistical Association, 88, 881-889 (1993).
2. Box, G. E. P. and Tiao, G. C. 'A Bayesian approach to some outlier problems', Biometrika, 55, 119-129 (1968).
3. Verdinelli, I. and Wasserman, L. 'Bayesian analysis of outlier problems using the Gibbs sampler', Statistics and Computing, 1, 105-117 (1991).
4. Guttman, I., Dutter, R. and Freeman, P. R. 'Care and handling of univariate outliers in the general linear model to detect spuriosity - A Bayesian approach', Technometrics, 20, 187-193 (1978).
5. George, E. I., McCulloch, R. E. and Tsay, R. S. 'Two approaches to Bayesian model selection with applications', in Berry, D. B., Chaloner, K. M. and Geweke, J. K. (eds), Bayesian Analysis in Statistics and Econometrics, Wiley, New York, 1996, pp. 339-348.
6. Sharples, L. D. 'Identification and accommodation of outliers in general hierarchical models', Biometrika, 77, 445-453 (1990).
7. Liu, J. S. 'The collapsed Gibbs sampler in Bayesian computations with applications to a gene regulation problem', Journal of the American Statistical Association, 89, 958-966 (1994).
8. Hastings, W. K. 'Monte Carlo sampling methods using Markov chains and their applications', Biometrika, 57, 97-109 (1970).
9. Smith, A. F. M. and Roberts, G. O. 'Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods (Disc: p53-102)', Journal of the Royal Statistical Society, Series B, 55, 3-23 (1993).
10. George, E. I. and McCulloch, R. E. 'Stochastic search variable selection', in Gilks, W. R., Richardson, S. and Spiegelhalter, D. J. (eds), Markov Chain Monte Carlo in Practice, Chapman and Hall, London 1996, pp. 203-214.
11. Ngowi, J. A., Redding-Lallinger, R. and Hirji, K. F. 'An assessment of the use of anthropometric measures for predicting low birth weight', Journal of Tropical Pediatrics, 39, 356-360 (1993).
12. Parkin, J. M. 'The assessment of gestational age', M.D. thesis, University of Newcastle upon Tyne, 1969.
13. Gelfand, A. E., Hills, S. E., Racine-Poon, A. and Smith, A. F. M. 'Illustration of Bayesian inference in normal data models using Gibbs sampling', Journal of the American Statistical Association, 85, 972-985 (1990).
14. Gilks, W. R., Wang, C. C., Yvonnet, B. and Coursaget, P. 'Random-effects models for longitudinal data using gibbs sampling', Biometrics, 49, 441-453 (1993).
15. Fanurik, D., Zeltzer, L. K., Roberts, M. C. and Blount, R. L. 'The relationship between children's coping styles and psychological interventions for cold presser pain', Pain, 53, 213-222 (1993).
16. Weiss, R. E., Wang, Y. and Ibrahim, J. G. 'Predictive model selection for repeated measures random effects models using Bayes factors', Biometrics, 53, 159-169 (1997).
17. Chaloner, K. 'Residual analysis and outliers in Bayesian hierarchical models', in Freeman, P. R. and Smith, A. F. M. (eds), Aspects of Uncertainty, Wiley, New York, 1994, pp. 149-157.
18. Weiss, R. E. 'Pediatric pain, predictive inference and sensitivity analysis', Evaluation Review, 18 651-678 (1994).
19. Kuo, L. and Mallick, B. 'Variable selection for regression models', Sankya B, 60, 65-81 (1998).
20. Berger, J. and Pericchi, L. 'The intrinsic Bayes factor for linear models', in Bernardo, J.M., Berger, J. O., Dawid, A. P. and Smith, A. F. M. (eds.), Bayesian Statistics V, Oxford University Press, Oxford, 1996, pp. 23-42.
21. Mitchell, T. J. and Beauchamp, J. J. 'Bayesian variable selection in linear regression', Journal of the American Statistical Association, 83, 1023-1032 (1988).
22. Clyde, M., Parmigiani, G. and Vidakovic, B. 'Multiple shrinkage and subset selection in wavelets', Biometrika, 85, 391-401 (1998).
23. Raftery, A. E., Madigan, D. and Hoeting, J. 'Bayesian model averaging for linear regression models', Journal of the American Statistical Association, 92, 179-191 (1997).