Bayesian inference for Poisson and multinomial log-linear models

Statistical Methodology

Volumn 7, Issue 3, 2010, Pages 210-224

  Forster, Jonathan J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Categorical data; Finite population; Invariance; Prior distribution

Indexed keywords

EID: 77950916755     PISSN: 15723127     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.stamet.2009.12.004     Document Type: Article

References (23)

1. Aitchison J. The Statistical Analysis of Compositional Data (1986), Chapman and Hall, London
2. Baker S.G. The multinomial-Poisson transformation. Statistician 43 (1994) 495-504
3. Birch M.W. Maximum likelihood in three-way contingency tables. Journal of the Royal Statistical Society, B 25 (1963) 220-233
4. Consonni G., and Dawid A.P. Decomposition and Bayesian analysis of invariant normal linear models. Linear Algebra and its Applications 70 (1985) 21-49
5. Darroch J.N., Lauritzen S.L., and Speed T.P. Markov fields and log-linear interaction models for contingency tables. The Annals of Statistics 8 (1980) 522-539
6. Diaconis P. Group Representations in Probability and Statistics (1988), Institute of Mathematical Statistics, Hayward, California
7. Ericson W.A. Subjective Bayesian models in sampling finite populations (with discussion). Journal of the Royal Statistical Society, B 31 (1969) 195-233
8. Fässler, and Stiefel. Group Theoretical Methods and their Applications (1992), Birkhäuser, Boston
9. J.J. Forster, Bayesian inference for square contingency tables http://www.soton.ac.uk/~jjf/Papers/Square.pdf, 2009
10. Glonek G.F.V., Darroch J.N., and Speed T.P. On the existence of maximum likelihood estimators for hierarchical log-linear models. Scandinavian Journal of Statistics 15 (1988) 187-193
11. Gûnel E., and Dickey J. Bayes factors for independence in contingency tables. Biometrika 61 (1974) 545-557
12. Haberman S.J. The Analysis of Frequency Data (1974), University of Chicago Press, Chicago
13. Hannan E.J. Group representations and applied probability. Journal of Applied Probability 2 (1965) 1-68
14. James G., and Liebeck M. Representations and Characters of Groups (1993), Cambridge University Press, Cambridge
15. Kass R.E., and Raftery A.E. Bayes Factors. Journal of the American Statistical Association 90 (1995) 773-795
16. King R., and Brooks S.P. Prior induction in log-linear models for general contingencty table analysis. The Annals of Statistics 29 (2001) 715-747
17. Knuiman M.W., and Speed T.P. Incorporating prior information into the analysis of contingency tables. Biometrics 44 (1988) 1061-1071
18. Lang J.B. On the comparison of multinomial and Poisson log-linear models. Journal of the Royal Statistical Society, B 58 (1996) 253-266
19. Ledermann W. Introduction to Group Characters (1977), Cambridge University Press, Cambridge
20. Lindley D.V. The Bayesian analysis of contingency tables. The Annals of Mathematical Statistics 35 (1964) 1622-1643
21. McCullagh P. Invariance and factorial models (with discussion). Journal of the Royal Statistical Society, B 62 (2000) 209-256
22. McLaren A.D. On group representations and invariant stochastic processes. Proceedings of the Cambridge Philosophical Society 59 (1963) 431-450
23. Santner T.J., and Duffy D.E. The Statistical Analysis of Discrete Data (1989), Springer Verlag, New York