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Volumn 85, Issue 3, 1998, Pages 711-725

The Isserlis matrix and its application to non-decomposable graphical Gaussian models

Author keywords

Bayes factor; Conjugate prior; Graphical gaussian model; Hyper markov law; Isserlis matrix; Matrix completion

Indexed keywords


EID: 0011521719     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/85.3.711     Document Type: Article
Times cited : (22)

References (23)
  • 1
    • 0000601361 scopus 로고
    • Collapsibility and response variables in contingency tables
    • ASMUSSEN, S. & EDWARDS, D. (1983). Collapsibility and response variables in contingency tables. Biometrika 70, 567-78.
    • (1983) Biometrika , vol.70 , pp. 567-578
    • Asmussen, S.1    Edwards, D.2
  • 4
    • 0006336664 scopus 로고
    • An approximation to maximum likelihood estimates in reduced models
    • Cox, D. R. & WERMUTH, N. (1990). An approximation to maximum likelihood estimates in reduced models. Biometrika 77, 747-61.
    • (1990) Biometrika , vol.77 , pp. 747-761
    • Cox, D.R.1    Wermuth, N.2
  • 5
    • 0001637134 scopus 로고
    • Markov fields and log-linear interaction models for contingency tables
    • DARROCH, J. N., LAURITZEN, S. L. & SPEED, T. P. (1980). Markov fields and log-linear interaction models for contingency tables. Ann. Statist. 43, 1470-80.
    • (1980) Ann. Statist. , vol.43 , pp. 1470-1480
    • Darroch, J.N.1    Lauritzen, S.L.2    Speed, T.P.3
  • 6
    • 21344482755 scopus 로고
    • Hyper Markov laws in the statistical analysis of decomposable graphical models
    • DAWID, A. P. & LAURITZEN, S. L. (1993). Hyper Markov laws in the statistical analysis of decomposable graphical models. Ann. Statist. 21, 1272-317.
    • (1993) Ann. Statist. , vol.21 , pp. 1272-1317
    • Dawid, A.P.1    Lauritzen, S.L.2
  • 7
    • 0001038826 scopus 로고
    • Covariance selection
    • DEMPSTER, A. P. (1972). Covariance selection. Biometrics 28, 157-75.
    • (1972) Biometrics , vol.28 , pp. 157-175
    • Dempster, A.P.1
  • 8
    • 0001786424 scopus 로고
    • The analysis of contingency tables by graphical models
    • EDWARDS, D. E. & KREINER, S. (1983). The analysis of contingency tables by graphical models. Biometrika 70, 553-62.
    • (1983) Biometrika , vol.70 , pp. 553-562
    • Edwards, D.E.1    Kreiner, S.2
  • 9
    • 0000900644 scopus 로고
    • Decomposition of maximum-likelihood in mixed interaction models
    • FRYDENBERG, M. & LAURITZEN, S. L. (1989). Decomposition of maximum-likelihood in mixed interaction models. Biometrika 76, 539-55
    • (1989) Biometrika , vol.76 , pp. 539-555
    • Frydenberg, M.1    Lauritzen, S.L.2
  • 10
  • 11
    • 47849109874 scopus 로고
    • Positive definite completions of partial Hermitian matrices
    • GRONE, R., JOHNSON, C. R., SA, E. M. & WOLKOWICE, H. (1984). Positive definite completions of partial Hermitian matrices. Lin. Algeb. Applic. 58, 109-24.
    • (1984) Lin. Algeb. Applic. , vol.58 , pp. 109-124
    • Grone, R.1    Johnson, C.R.2    Sa, E.M.3    Wolkowice, H.4
  • 12
    • 0000951308 scopus 로고
    • On a formula for the product-moment correlation of any order of a normal frequency distribution in any number of variables
    • 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.
    • (1918) Biometrika , vol.12 , pp. 134-139
    • Isserlis, L.1
  • 13
    • 84873751778 scopus 로고
    • An invariant form for the prior probability in estimation problems
    • JEFFREYS, H. (1946). An invariant form for the prior probability in estimation problems. Proc. R. Soc. Land. A 186, 453-61.
    • (1946) Proc. R. Soc. Land. A , vol.186 , pp. 453-461
    • Jeffreys, H.1
  • 17
    • 0002480085 scopus 로고
    • Graphical models for associations between variables, some of which are qualitative and some quantitative
    • LAURITZEN, S. L. & WERMUTH, N. (1989). Graphical models for associations between variables, some of which are qualitative and some quantitative. Ann. Statist. 17, 31-57.
    • (1989) Ann. Statist. , vol.17 , pp. 31-57
    • Lauritzen, S.L.1    Wermuth, N.2
  • 19
    • 24944586901 scopus 로고    scopus 로고
    • Standard errors for the parameters of graphical Gaussian models
    • ROVERATO, A. & WHITTAKER, J. (1996). Standard errors for the parameters of graphical Gaussian models. Statist. Comp. 6, 297-302.
    • (1996) Statist. Comp. , vol.6 , pp. 297-302
    • Roverato, A.1    Whittaker, J.2
  • 20
    • 0004644575 scopus 로고    scopus 로고
    • Edge exclusion tests for graphical Gaussian models
    • Ed. M. I. Jordan. To appear. Dordrecht: Kluwer Academic.
    • SMITH, P. W. F. & WHITTAKER, J. (1998). Edge exclusion tests for graphical Gaussian models. In Learning in Graphical Models, Ed. M. I. Jordan. To appear. Dordrecht: Kluwer Academic.
    • (1998) In Learning in Graphical Models
    • Smith, P.W.F.1    Whittaker, J.2
  • 21
    • 0001568882 scopus 로고
    • Gaussian Markov distributions over finite graphs
    • SPEED, T. P. & KIIVERI, H. (1986). Gaussian Markov distributions over finite graphs. Ann. Statist. 14, 138-50.
    • (1986) Ann. Statist. , vol.14 , pp. 138-150
    • Speed, T.P.1    Kiiveri, H.2
  • 22
    • 0017283506 scopus 로고
    • Analogies between multiplicative models in contingency tables and covariance selection
    • WERMUTH, N. (1976). Analogies between multiplicative models in contingency tables and covariance selection. Biometrics 32, 95-108.
    • (1976) Biometrics , vol.32 , pp. 95-108
    • Wermuth, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.