Standard errors for the parameters of graphical Gaussian models

Statistics and Computing

Volumn 6, Issue 3, 1996, Pages 297-302

  Roverato, Alerto ^a   Whittaker, Joe ^b  

^a UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

^b LANCASTER UNIVERSITY   (United Kingdom)

Author keywords

Conditional independence; Edge exclusion tests; Graphical Gaussian models; Independence graphs; Information matrix; Wald tests

Indexed keywords

EID: 24944586901     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00140874     Document Type: Article

References (16)

1. Barndorff-Nielsen, O. E. (1978) Information and Exponential Families in Statistical Theory. Wiley: New York.
2. Cox, D. R. and Hinkley, D. V. (1974) Theoretical Statistics. Chapman and Hall: London.
3. Cox, D. R. and Wermuth, N. (1990) An approximation to maximum likelihood estimates in reduced models. Biometrika, 77, 747-61.
4. Darroch, J. N., Lauritzen, S. L. and Speed, T. P. (1980) Markov fields and log-linear interaction models for contingency tables. Annals of Statistics, 43, 1470-80.
5. Dawid, A. P. and Lauritzen, S. L. (1993) Hyper Markov laws in the statistical analysis of decomposable graphical models. Annals of Statistics, 21, 1272-1317.
6. Dempster, A. P. (1972) Covariance selection. Biometrics, 28, 157-75.
7. Edwards, D. (1995) Introduction to Graphical Modelling. Springer Verlag.
8. Graybill, F. A. (1983) Matrices with Applications in Statistics. 2nd Edition. Wadsworth: California.
9. Isserlis, L. (1918) On a formula for the product-moment correlation of any order of a normal frequency distribution in any number of variables. Biometrika, 12, 134-9.
10. Roverato, A. and Whittaker, J. (1996) A hyper Markov prior distribution for approximate Bayes factor calculations on non-decomposable graphical Gaussian models, Technical Report, Department of Mathematics and Statistics, Lancaster University.
11. Smith, P. W. F. (1990) Edge Exclusion Tests for Graphical Models. Unpublished Ph.D. thesis. Lancaster University.
12. Smith, P. W. F. and Whittaker, J. (1992) Edge Exclusion Tests for Graphical Gaussian Models. Technical Report. Department of Mathematics, Lancaster University.
13. Speed, T. P. and Kiiveri, H. (1986) Gaussian Markov distributions over finite graphs. Annals of Statistics, 14, 138-50.
14. Wermuth, N. (1976) Analogies between multiplicative models in contingency tables and covariance selection. Biometrics, 32, 95-108.
15. Whittaker, J. (1990) Graphical Models in Applied Multivariate Statistics. Wiley: Chichester.
16. Wright, S. (1954) The interpretation of multivariate systems. In: O. Kempthorne et al. (Eds) Statistics and Mathematics in Biology, Iowa State University Press: Ames 11-23.