Factorization of posteriors and partial imputation algorithm for graphical models with missing data

Statistics and Probability Letters

Volumn 64, Issue 4, 2003, Pages 369-379

  Geng, Zhi ^a   Li, Kaican ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Contingency table; Dirichlet distribution; Graphical models; Imputation algorithm; Incomplete data

Indexed keywords

EID: 0042884146     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(03)00181-0     Document Type: Article

References (17)

1. Dawid A.P. Lauritzen S.L. Hyper Markov laws in the statistical analysis of decomposable graphical models Ann. Statist. 21 1993 1272-1317
2. Dickey J.M. Jiang J.M. Kadane J.B. Bayesian methods for censored categorical data J. Amer. Statist. Assoc. 82 1987 773-781
3. Didelez V. Pigeot I. Maximum likelihood estimation in graphical models with missing values Biometrika 85 1998 960-966
4. Edwards D. Introduction to Graphical Modelling 1995 Springer New York
5. Frydenberg M. Lauritzen S.L. Decomposition of maximum likelihood in mixed graphical interaction models Biometrika 76 1989 539-555
6. Geng Z. Wan K. Tao F. Mixed graphical models with missing data and the partial imputation EM algorithm Scand. J. Statist. 27 2000 433-444
7. Jensen F.V. Olesen K.G. Andersen S.K. An algebra of Bayesian belief universes for knowledge-based systems Networks 20 1990 637-659
8. Lauritzen S.L. Graphical Models 1996 Oxford University Press Oxford
9. Lauritzen S.L. Spiegelhalter D.S. Local computations with probabilities on graphical structures and their application to expert systems (with discussion) J. Roy. Statist. Soc. Ser. B 50 1988 157-224
10. Lauritzen S.L. Wermuth N. Graphical models for associations between variables, some of which are qualitative and some quantitative Ann. Statist. 17 1989 31-57
11. Liu S.J. The collapsed Gibbs sampler in Bayesian computation with applications to gene regulation problem J. Amer. Statist. Assoc. 89 1994 958-965
12. Liu S.J. Wong W.H. Kong A. Covariance structure and convergence rate of the Gibbs sampler with various scans J. Roy. Statist. Soc. Ser. B 57 1995 157-169
13. Rubin D.B. Multiple Imputation for Nonresponse in Surveys 1987 Wiley New York
14. Tanner M.A. Tools for Statistical Inference: Observed Data and Data Augmentation Methods Lecture Notes in Statistics Vol. 67 1991 Springer New York
15. Tanner M.A. Wong W.H. The calculation of posterior distributions by data augmentation J. Amer. Statist. Assoc. 82 1987 528-550
16. Whittaker J. Graphical Models in Applied Multivariate Statistics 1990 Wiley Chichester
17. Yosida K. Functional Analysis 6th Edition 1980 Springer New York