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Volumn 85, Issue 2, 2003, Pages 253-266

Bayesian graphical model determination using decision theory

Author keywords

Bayesian model determination; Entropy; Exponential family; Graphical models; Multinomial distribution; Multinormal distribution; Reference analysis; Utility

Indexed keywords


EID: 0038511257     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0047-259X(02)00033-7     Document Type: Article
Times cited : (7)

References (31)
  • 2
    • 0000298252 scopus 로고    scopus 로고
    • The intrinsic Bayes factor for model selection and prediction
    • J. Berger, L. Pericchi, The intrinsic Bayes factor for model selection and prediction, J. Amer. Statist. Assoc. 91 (1996) 109-122.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 109-122
    • Berger, J.1    Pericchi, L.2
  • 3
    • 0000130611 scopus 로고    scopus 로고
    • Nested hypothesis testing: The Bayesian reference criterion
    • J. Bernardo, J. Berger, A. Dawid, A. Smith (Eds.), Oxford University Press, Oxford
    • J. Bernardo, Nested hypothesis testing: the Bayesian reference criterion, in: J. Bernardo, J. Berger, A. Dawid, A. Smith (Eds.), Bayesian Statistics, Vol. 6, Oxford University Press, Oxford, 1999, pp. 101-130.
    • (1999) Bayesian Statistics , vol.6 , pp. 101-130
    • Bernardo, J.1
  • 6
    • 85031164353 scopus 로고    scopus 로고
    • Graphical model selection for multinomial data using information divergence
    • Research Report, Department of Statistics, Stockholm University
    • J. Corander, Graphical model selection for multinomial data using information divergence, Research Report, Department of Statistics, Stockholm University, 1998.
    • (1998)
    • Corander, J.1
  • 7
    • 0000546609 scopus 로고
    • I-divergence geometry of probability distributions and minimization problems
    • I. Csiszar, I-divergence geometry of probability distributions and minimization problems, Ann. Probab. 3 (1975) 146-158.
    • (1975) Ann. Probab. , vol.3 , pp. 146-158
    • Csiszar, I.1
  • 8
    • 21344482755 scopus 로고
    • Hyper-Markov laws in the statistical analysis of decomposable graphical models
    • A. Dawid, S. Lauritzen, Hyper-Markov laws in the statistical analysis of decomposable graphical models, Ann. Statist. 21 (1993) 1272-1317.
    • (1993) Ann. Statist. , vol.21 , pp. 1272-1317
    • Dawid, A.1    Lauritzen, S.2
  • 9
    • 0000860415 scopus 로고    scopus 로고
    • Markov chain Monte Carlo model determination for hierarchical and graphical log-linear models
    • P. Dellaportas, J. Forster, Markov chain Monte Carlo model determination for hierarchical and graphical log-linear models, Biometrika 86 (1999) 615-633.
    • (1999) Biometrika , vol.86 , pp. 615-633
    • Dellaportas, P.1    Forster, J.2
  • 10
    • 0001038826 scopus 로고
    • Covariance selection
    • A. Dempster, Covariance selection, Biometrics 28 (1972) 157-175.
    • (1972) Biometrics , vol.28 , pp. 157-175
    • Dempster, A.1
  • 11
    • 0001099335 scopus 로고    scopus 로고
    • Decomposable graphical Gaussian model determination
    • P. Giudici, P. Green, Decomposable graphical Gaussian model determination, Biometrika 86 (1999) 785-801.
    • (1999) Biometrika , vol.86 , pp. 785-801
    • Giudici, P.1    Green, P.2
  • 12
    • 0007196525 scopus 로고    scopus 로고
    • Efficient model determination for discrete graphical models
    • Technical Report, available at www.statslab.cam.ac.uk/MCMC/
    • P. Giudici, P. Green, C. Tarantola, Efficient model determination for discrete graphical models, Technical Report, 1999, available at www.statslab.cam.ac.uk/MCMC/.
    • (1999)
    • Giudici, P.1    Green, P.2    Tarantola, C.3
  • 13
    • 0000263475 scopus 로고
    • The determination of the order of an autoregression
    • E. Hannan, B. Quinn, The determination of the order of an autoregression, J. Roy. Statist. Soc. B 41 (1979) 190-195.
    • (1979) J. Roy. Statist. Soc. B , vol.41 , pp. 190-195
    • Hannan, E.1    Quinn, B.2
  • 15
    • 0030327756 scopus 로고    scopus 로고
    • The selection of prior distributions by formal rules
    • R. Kass, L. Wasserman, The selection of prior distributions by formal rules, J. Amer. Statist. Assoc. 91 (1996) 1343-1370.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1343-1370
    • Kass, R.1    Wasserman, L.2
  • 16
    • 0001006927 scopus 로고    scopus 로고
    • Bayesian model choice: What and why?
    • J. Bernardo, J. Berger, A. Dawid, A. Smith (Eds.), Oxford University Press, Oxford
    • J. Key, L. Pericchi, A. Smith, Bayesian model choice: what and why? in: J. Bernardo, J. Berger, A. Dawid, A. Smith (Eds.), Bayesian Statistics, Vol. 6, Oxford University Press, Oxford, 1999, pp. 343-370.
    • (1999) Bayesian Statistics , vol.6 , pp. 343-370
    • Key, J.1    Pericchi, L.2    Smith, A.3
  • 17
    • 0004047518 scopus 로고    scopus 로고
    • Oxford University Press, Oxford
    • S. Lauritzen, Graphical Models, Oxford University Press, Oxford, 1996.
    • (1996) Graphical Models
    • Lauritzen, S.1
  • 18
    • 0002480085 scopus 로고
    • Graphical models for associations between variables, some of which are qualitative and some quantitative
    • S. Lauritzen, N. Wermuth, Graphical models for associations between variables, some of which are qualitative and some quantitative, Ann. Statist. 17 (1989) 31-54.
    • (1989) Ann. Statist. , vol.17 , pp. 31-54
    • Lauritzen, S.1    Wermuth, N.2
  • 19
    • 84950945692 scopus 로고
    • Model selection and accounting for model uncertainty in graphical models using Occam's window
    • D. Madigan, A. Raftery, Model selection and accounting for model uncertainty in graphical models using Occam's window, J. Amer. Statist. Assoc. 89 (1994) 1535-1546.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 1535-1546
    • Madigan, D.1    Raftery, A.2
  • 20
    • 21844520724 scopus 로고
    • Bayesian graphical models for discrete data
    • D. Madigan, J. York, Bayesian graphical models for discrete data, Internat. Statist. Rev. 63 (1995) 215-232.
    • (1995) Internat. Statist. Rev. , vol.63 , pp. 215-232
    • Madigan, D.1    York, J.2
  • 23
    • 0001857092 scopus 로고
    • Fractional Bayes factors for model comparisons
    • A. O'Hagan, Fractional Bayes factors for model comparisons, J. Roy. Statist. Soc. B 57 (1995) 99-138.
    • (1995) J. Roy. Statist. Soc. B , vol.57 , pp. 99-138
    • O'Hagan, A.1
  • 24
    • 0000471495 scopus 로고
    • Some observations on inverse probability including a new indifference rule
    • W. Perks, Some observations on inverse probability including a new indifference rule, J. Inst. Actuaries 73 (1947) 285-334.
    • (1947) J. Inst. Actuaries , vol.73 , pp. 285-334
    • Perks, W.1
  • 25
    • 0032283119 scopus 로고    scopus 로고
    • A new algorithm for the maximum likelihood estimation of graphical log-linear models
    • T. Rudas, A new algorithm for the maximum likelihood estimation of graphical log-linear models, Comput. Statist. 13 (1998) 529-537.
    • (1998) Comput. Statist. , vol.13 , pp. 529-537
    • Rudas, T.1
  • 26
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • G. Schwarz, Estimating the dimension of a model, Ann. Statist. 6 (1978) 461-464.
    • (1978) Ann. Statist. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 27
    • 0000134224 scopus 로고
    • Bayes factors and choice criteria for linear models
    • A. Smith, D. Spiegelhalter, Bayes factors and choice criteria for linear models, J. Roy. Statist. Soc. B 42 (1980) 213-220.
    • (1980) J. Roy. Statist. Soc. B , vol.42 , pp. 213-220
    • Smith, A.1    Spiegelhalter, D.2
  • 28
    • 0001568882 scopus 로고
    • Gaussian Markov distributions over finite graphs
    • T. Speed, H. Kiiveri, Gaussian Markov distributions over finite graphs, Ann. Statist. 14 (1986) 138-150.
    • (1986) Ann. Statist. , vol.14 , pp. 138-150
    • Speed, T.1    Kiiveri, H.2
  • 29
    • 0000569220 scopus 로고    scopus 로고
    • Graphical Markov models
    • S. Kotz, C. Read, D. Banks (Eds.), Wiley, New York
    • N. Wermuth, Graphical Markov models, In: S. Kotz, C. Read, D. Banks (Eds.), Encyclopedia of Statistical Science, Update, Vol. 2, Wiley, New York, 1998, pp. 284-300.
    • (1998) Encyclopedia of Statistical Science, Update , vol.2 , pp. 284-300
    • Wermuth, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.