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Volumn 75, Issue 4, 2013, Pages 743-768

Marginal log-linear parameters for graphical Markov models

Author keywords

Acyclic directed mixed graph; Discrete graphical model; Marginal log linear parameter; Parsimonious modelling; Variation independence

Indexed keywords


EID: 84881611083     PISSN: 13697412     EISSN: 14679868     Source Type: Journal    
DOI: 10.1111/rssb.12020     Document Type: Article
Times cited : (27)

References (31)
  • 1
    • 0001578518 scopus 로고
    • A learning algorithm for Boltzmann machines
    • Ackley, D. H., Hinton, G. E. and Sejnowski, T. J. (1985) A learning algorithm for Boltzmann machines. Cogn. Sci., 9, 147-169.
    • (1985) Cogn. Sci. , vol.9 , pp. 147-169
    • Ackley, D.H.1    Hinton, G.E.2    Sejnowski, T.J.3
  • 2
    • 80053158076 scopus 로고    scopus 로고
    • Towards characterizing Markov equivalence classes for directed acyclic graphs with latent variables
    • F. Bacchus and T. Jaakola. Arlington: Association for Uncertainty in Artificial Intelligence Press.
    • Ali, R. A., Richardson, T. S., Spirtes, P. and Zhang, J. (2005) Towards characterizing Markov equivalence classes for directed acyclic graphs with latent variables. In Proc. 21st Conf. Uncertainty in Artificial Intelligence (eds F. Bacchus and T. Jaakola ), pp. 10-17. Arlington: Association for Uncertainty in Artificial Intelligence Press.
    • (2005) Proc. 21st Conf. Uncertainty in Artificial Intelligence , pp. 10-17
    • Ali, R.A.1    Richardson, T.S.2    Spirtes, P.3    Zhang, J.4
  • 3
    • 0036107195 scopus 로고    scopus 로고
    • Marginal models for categorical data
    • Bergsma, W. P. and Rudas, T. (2002) Marginal models for categorical data. Ann. Statist., 30, 140-159.
    • (2002) Ann. Statist. , vol.30 , pp. 140-159
    • Bergsma, W.P.1    Rudas, T.2
  • 4
    • 0001637134 scopus 로고
    • Markov fields and log-linear models for contingency tables
    • Darroch, J. N., Lauritzen, S. L. and Speed, T. P. (1980) Markov fields and log-linear models for contingency tables. Ann. Statist., 8, 522-539.
    • (1980) Ann. Statist. , vol.8 , pp. 522-539
    • Darroch, J.N.1    Lauritzen, S.L.2    Speed, T.P.3
  • 5
    • 0002384709 scopus 로고
    • Conditional independence in statistical theory (with discussion)
    • Dawid, A. P. (1979) Conditional independence in statistical theory (with discussion). J. R. Statist. Soc. B, 41, 1-31.
    • (1979) J. R. Statist. Soc. B , vol.41 , pp. 1-31
    • Dawid, A.P.1
  • 6
    • 72249086984 scopus 로고    scopus 로고
    • Discrete chain graph models
    • Drton, M. (2009) Discrete chain graph models. Bernoulli, 15, 736-753.
    • (2009) Bernoulli , vol.15 , pp. 736-753
    • Drton, M.1
  • 7
    • 44649199301 scopus 로고    scopus 로고
    • Graphical methods for efficient likelihood inference in Gaussian covariance models
    • Drton, M. and Richardson, T. S. (2008a) Graphical methods for efficient likelihood inference in Gaussian covariance models. J. Mach. Learn. Res., 9, 893-914.
    • (2008) J. Mach. Learn. Res. , vol.9 , pp. 893-914
    • Drton, M.1    Richardson, T.S.2
  • 8
    • 38949107955 scopus 로고    scopus 로고
    • Binary models for marginal independence
    • Drton, M. and Richardson, T. S. (2008b) Binary models for marginal independence. J. R. Statist. Soc. B, 70, 287-309.
    • (2008) J. R. Statist. Soc. B , vol.70 , pp. 287-309
    • Drton, M.1    Richardson, T.S.2
  • 9
    • 84881612716 scopus 로고    scopus 로고
    • Codebook of the Netherlands Kinship Panel Study, a multi-actor, multi-method panel study on solidarity in family relationships: wave 1. Working Paper 4. Netherlands Interdisciplinary Demographic Institute, The Hague.
    • Dykstra, P. A., Kalmijn, M., Knijn, T. C. M., Komter, A. E., Liefbroer, A. C. and Mulder, C. H. (2005) Codebook of the Netherlands Kinship Panel Study, a multi-actor, multi-method panel study on solidarity in family relationships: wave 1. Working Paper 4. Netherlands Interdisciplinary Demographic Institute, The Hague.
    • (2005)
    • Dykstra, P.A.1    Kalmijn, M.2    Knijn, T.C.M.3    Komter, A.E.4    Liefbroer, A.C.5    Mulder, C.H.6
  • 10
    • 84881617604 scopus 로고    scopus 로고
    • Codebook of the Netherlands Kinship Panel Study, a multi-actor, multi-method panel study on solidarity in family relationships: wave 2. Working Paper 6.
    • Dykstra, P. A., Kalmijn, M., Knijn, T. C. M., Komter, A. E., Liefbroer, A. C. and Mulder, C. H. (2007) Codebook of the Netherlands Kinship Panel Study, a multi-actor, multi-method panel study on solidarity in family relationships: wave 2. Working Paper 6.
    • (2007)
    • Dykstra, P.A.1    Kalmijn, M.2    Knijn, T.C.M.3    Komter, A.E.4    Liefbroer, A.C.5    Mulder, C.H.6
  • 11
    • 84863394639 scopus 로고    scopus 로고
    • A latent class model for bivariate binary responses from twins
    • Ekholm, A., Jokinen, J., McDonald, J. W. and Smith, P. W. F. (2012) A latent class model for bivariate binary responses from twins. Appl. Statist., 61, 493-514.
    • (2012) Appl. Statist. , vol.61 , pp. 493-514
    • Ekholm, A.1    Jokinen, J.2    McDonald, J.W.3    Smith, P.W.F.4
  • 12
    • 84878405499 scopus 로고    scopus 로고
    • Two algorithms for fitting constrained marginal models
    • To be published.
    • Evans, R. J. and Forcina, A. (2013) Two algorithms for fitting constrained marginal models. Computnl Statist. Data Anal., to be published.
    • (2013) Computnl Statist. Data Anal.
    • Evans, R.J.1    Forcina, A.2
  • 13
    • 85097310525 scopus 로고    scopus 로고
    • Maximum likelihood fitting of acyclic directed mixed graphs to binary data
    • P. Grünwald and P. Spirtes. Arlington: Association for Uncertainty in Artificial Intelligence Press.
    • Evans, R. J. and Richardson, T. S. (2012) Maximum likelihood fitting of acyclic directed mixed graphs to binary data. In Proc. 26th Conf. Uncertainty in Artificial Intelligence (eds P. Grünwald and P. Spirtes ). Arlington: Association for Uncertainty in Artificial Intelligence Press.
    • (2012) Proc. 26th Conf. Uncertainty in Artificial Intelligence
    • Evans, R.J.1    Richardson, T.S.2
  • 14
  • 15
    • 77956772444 scopus 로고    scopus 로고
    • Marginal parameterizations of discrete models defined by a set of conditional independencies
    • Forcina, A., Lupparelli, M. and Marchetti, G. M. (2010) Marginal parameterizations of discrete models defined by a set of conditional independencies. J. Multiv. Anal., 101, 2519-2527.
    • (2010) J. Multiv. Anal. , vol.101 , pp. 2519-2527
    • Forcina, A.1    Lupparelli, M.2    Marchetti, G.M.3
  • 17
    • 0141504420 scopus 로고    scopus 로고
    • Genetic associations between frozen shoulder and tennis elbow: a female twin study
    • Hakim, A. J., Cherkas, L. F., Spector, T. D. and MacGregor, A. J. (2003) Genetic associations between frozen shoulder and tennis elbow: a female twin study. Rheumatology, 42, 739-742.
    • (2003) Rheumatology , vol.42 , pp. 739-742
    • Hakim, A.J.1    Cherkas, L.F.2    Spector, T.D.3    MacGregor, A.J.4
  • 18
    • 0042613273 scopus 로고    scopus 로고
    • A note on multivariate logistic models for contingency tables
    • Kauermann, G. (1997) A note on multivariate logistic models for contingency tables. Aust. J. Statist., 39, 261- 276.
    • (1997) Aust. J. Statist. , vol.39 , pp. 261-276
    • Kauermann, G.1
  • 20
    • 68949117705 scopus 로고    scopus 로고
    • Parameterizations and fitting of bi-directed graph models to categorical data
    • Lupparelli, M., Marchetti, G. M. and Bergsma, W. P. (2009) Parameterizations and fitting of bi-directed graph models to categorical data. Scand. J. Statist., 36, 559-576.
    • (2009) Scand. J. Statist. , vol.36 , pp. 559-576
    • Lupparelli, M.1    Marchetti, G.M.2    Bergsma, W.P.3
  • 21
    • 79960206022 scopus 로고    scopus 로고
    • Chain graph models of multivariate regression type for categorical data
    • Marchetti, G. M. and Lupparelli, M. (2011) Chain graph models of multivariate regression type for categorical data. Bernoulli, 17, 827-844.
    • (2011) Bernoulli , vol.17 , pp. 827-844
    • Marchetti, G.M.1    Lupparelli, M.2
  • 22
    • 0026916046 scopus 로고
    • Effects of computer reminders for influenza vaccination on morbidity during influenza epidemics
    • McDonald, C. J., Hui, S. L. and Tierney, W. M. (1992) Effects of computer reminders for influenza vaccination on morbidity during influenza epidemics. MD Comput., 9, 304-312.
    • (1992) MD Comput , vol.9 , pp. 304-312
    • McDonald, C.J.1    Hui, S.L.2    Tierney, W.M.3
  • 24
    • 0038107398 scopus 로고    scopus 로고
    • Markov properties for acyclic directed mixed graphs
    • Richardson, T. S. (2003) Markov properties for acyclic directed mixed graphs. Scand. J. Statist., 30, 145-157.
    • (2003) Scand. J. Statist. , vol.30 , pp. 145-157
    • Richardson, T.S.1
  • 25
    • 80053145618 scopus 로고    scopus 로고
    • A factorization criterion for acyclic directed mixed graphs
    • Bilmes and A. Ng. Corvallis: Association for Uncertainty in Artificial Intelligence Press.
    • Richardson, T. S. (2009) A factorization criterion for acyclic directed mixed graphs. In Proc. 25th Conf. Uncertainty in Artificial Intelligence (eds J. Bilmes and A. Ng ). Corvallis: Association for Uncertainty in Artificial Intelligence Press.
    • (2009) Proc. 25th Conf. Uncertainty in Artificial Intelligence
    • Richardson, T.S.1
  • 26
    • 0036392228 scopus 로고    scopus 로고
    • Ancestral graph Markov models
    • Richardson, T. S. and Spirtes, P. (2002) Ancestral graph Markov models. Ann. Statist., 30, 962-1030.
    • (2002) Ann. Statist. , vol.30 , pp. 962-1030
    • Richardson, T.S.1    Spirtes, P.2
  • 27
    • 34547439641 scopus 로고    scopus 로고
    • Parameterization and estimation of path models for categorical data
    • Heidelberg: Physica.
    • Rudas, T., Bergsma, W. P. and Németh, R. (2006) Parameterization and estimation of path models for categorical data. In Proc. 17th Symp. Computational Statistics, pp. 383-394. Heidelberg: Physica.
    • (2006) Proc. 17th Symp. Computational Statistics , pp. 383-394
    • Rudas, T.1    Bergsma, W.P.2    Németh, R.3
  • 28
    • 78651275164 scopus 로고    scopus 로고
    • Marginal log-linear parameterization of conditional independence models
    • Rudas, T., Bergsma, W. P. and Németh, R. (2010) Marginal log-linear parameterization of conditional independence models. Biometrika, 97, 1006-1012.
    • (2010) Biometrika , vol.97 , pp. 1006-1012
    • Rudas, T.1    Bergsma, W.P.2    Németh, R.3
  • 29
    • 0018412460 scopus 로고
    • A comparison of mail, telephone and home interview strategies for household health surveys
    • Siemiatycki, J. (1979) A comparison of mail, telephone and home interview strategies for household health surveys. Am. J. Publ. Hlth, 69, 238-245.
    • (1979) Am. J. Publ. Hlth , vol.69 , pp. 238-245
    • Siemiatycki, J.1
  • 30
    • 79960259320 scopus 로고    scopus 로고
    • Probability distributions with summary graph structure
    • Wermuth, N. (2011) Probability distributions with summary graph structure. Bernoulli, 17, 845-879.
    • (2011) Bernoulli , vol.17 , pp. 845-879
    • Wermuth, N.1


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