Exact statistical solutions using the inverse Bayes formulae

Statistics and Probability Letters

Volumn 62, Issue 3, 2003, Pages 305-315

  Tian, Guo Liang ^a   Tan, Ming ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Bayesian computation; Compatibility; Data augmentation; Inverse Bayes formulae

Indexed keywords

EID: 0037445841     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(03)00044-0     Document Type: Article

References (12)

1. Arnold, B.C., Strauss, D., 1988. Bivariate distributions with exponential conditionals. J. Amer. Statist. Assoc. 83, 522-527.
2. Arnold, B.C., Castillo, E., Sarabia, J.M., 1999. Conditional Specification of Statistical Models. Springer, New York.
3. Chen, M.H., Shao, Q.M., Ibrahim, J.G., 2000. Monte Carlo Methods in Bayesian Computation. Springer, New York.
4. Geng, Z., Asano, C., 1989. Bayesian estimation methods for categorical data with misclassification. Comm. Statist., Theory Methods 18, 2935-2954.
5. Hammersley, J.M., Clifford, M.S., 1970. Markov fields on finite graphs and lattices. Unpublished.
6. Kuo, L., Yang, T.Y., 1996. Bayesian computation for nonhomogeneous Poisson process in software reliability. J. Amer. Statist. Assoc. 91, 763-773.
7. Meng, X.L., 1996. Comment on "statistical inference and Monte Carlo algorithms" by G. Casella. Test 5, 310-318.
8. Ng, K.W., 1997. Inversion of Bayes formula: explicit formulas for unconditional pdf. In: Johnson, N.L., Balakrishnan, N. (Eds.), Advances in the Theory and Practice in Statistics. Wiley, New York, pp. 571-584.
9. Robert, C.P., Casella, G., 1999. Monte Carlo Statistical Methods. Springer, New York.
10. Tan, M., Tian, G.L., Ng, K.W., 2003. A noniterative sampling method for computing posteriors in the structure of EM-type algorithms. Statist. Sinica, submitted.
11. Tanner, M.A., Wong, W.H., 1987. The calculation of posterior distributions by data augmentation (with discussions). J. Amer. Statist. Assoc. 82, 528-540.
12. Tian, G.L., Ng, K.W., Geng, Z., 2003. Bayesian computation for contingency tables with incomplete cell-counts. Statist. Sinica 13, 189-206.