메뉴 건너뛰기




Volumn 38, Issue 1, 2009, Pages 115-129

A unified method for checking compatibility and uniqueness for finite discrete conditional distributions

Author keywords

2 norm; Box constraints; Compatibility; Gibbs sampler; Kullback Leibler distance; Quadratic optimization with constraints

Indexed keywords

BAYESIAN NETWORKS; CONCRETE BEAMS AND GIRDERS; IMAGE SEGMENTATION; MATHEMATICAL MODELS; OPTIMIZATION; QUADRATIC PROGRAMMING; RANDOM VARIABLES; STATISTICS; VARIATIONAL TECHNIQUES;

EID: 54349113563     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920802169586     Document Type: Article
Times cited : (14)

References (22)
  • 1
    • 26944434140 scopus 로고
    • Bivariate distributions with exponential conditionals
    • Arnold, B. C., Strauss, D. (1988). Bivariate distributions with exponential conditionals. J. Amer. Statist. Assoc. 83:522-527.
    • (1988) J. Amer. Statist. Assoc , vol.83 , pp. 522-527
    • Arnold, B.C.1    Strauss, D.2
  • 2
    • 0000946840 scopus 로고
    • Compatible conditional distributions
    • Arnold, B. C., Press, S. J. (1989). Compatible conditional distributions. J. Amer. Statist. Assoc. 84:152-156.
    • (1989) J. Amer. Statist. Assoc , vol.84 , pp. 152-156
    • Arnold, B.C.1    Press, S.J.2
  • 4
    • 0034906298 scopus 로고    scopus 로고
    • Quantification of incompatibility of conditional and marginal information
    • Arnold, B. C., Castillo, E., Sarabia, J. M. (2001). Quantification of incompatibility of conditional and marginal information. Commun. Statist. Theor. Meth. 30:381-395.
    • (2001) Commun. Statist. Theor. Meth , vol.30 , pp. 381-395
    • Arnold, B.C.1    Castillo, E.2    Sarabia, J.M.3
  • 5
    • 0037189995 scopus 로고    scopus 로고
    • Exact and near compatibility of discrete conditional distributions
    • Arnold, B. C., Castillo, E., Sarabia, J. M. (2002). Exact and near compatibility of discrete conditional distributions. Computat. Statist. Data Anal. 40:231-252.
    • (2002) Computat. Statist. Data Anal , vol.40 , pp. 231-252
    • Arnold, B.C.1    Castillo, E.2    Sarabia, J.M.3
  • 6
    • 1642276566 scopus 로고    scopus 로고
    • Compatibility of partial or complete conditional probability specifications
    • Arnold, B. C., Castillo, E., Sarabia, J. M. (2004). Compatibility of partial or complete conditional probability specifications. J. Statist. Plann. Infer. 123:133-159.
    • (2004) J. Statist. Plann. Infer , vol.123 , pp. 133-159
    • Arnold, B.C.1    Castillo, E.2    Sarabia, J.M.3
  • 7
    • 0000913755 scopus 로고
    • Spatial interaction and the statistical analysis of lattice systems
    • Besag, J. E. (1974). Spatial interaction and the statistical analysis of lattice systems. J. Roy. Statist. Soc, Ser. B 36:192-236.
    • (1974) J. Roy. Statist. Soc, Ser. B , vol.36 , pp. 192-236
    • Besag, J.E.1
  • 8
  • 9
    • 0001225804 scopus 로고
    • Characterizing a joint probability distribution by conditionals
    • Gelman, A., Speed, T. P. (1993). Characterizing a joint probability distribution by conditionals. J. Roy. Statist. Soc., Ser. B 55:185-188.
    • (1993) J. Roy. Statist. Soc., Ser. B , vol.55 , pp. 185-188
    • Gelman, A.1    Speed, T.P.2
  • 10
    • 1642418587 scopus 로고    scopus 로고
    • Corrigendum: Characterizing a joint probability distribution by conditionals
    • Gelman, A., Speed, T. P. (1999). Corrigendum: Characterizing a joint probability distribution by conditionals. J. Roy. Statist. Soc, Ser. B 61(Part 2):483.
    • (1999) J. Roy. Statist. Soc, Ser. B , vol.61 , Issue.PART 2 , pp. 483
    • Gelman, A.1    Speed, T.P.2
  • 11
    • 0003678451 scopus 로고
    • Markov fields on finite graphs and lattices
    • Unpublished
    • Hammersley, J. M., Clifford, P. (1970). Markov fields on finite graphs and lattices. Unpublished.
    • (1970)
    • Hammersley, J.M.1    Clifford, P.2
  • 12
    • 0030327881 scopus 로고    scopus 로고
    • The effect of improper priors on Gibbs sampling in hierarchical linear models
    • Hobert, J. P., Casella, G. (1996). The effect of improper priors on Gibbs sampling in hierarchical linear models. J. Amer. Statist. Assoc. 91:1461-1473.
    • (1996) J. Amer. Statist. Assoc , vol.91 , pp. 1461-1473
    • Hobert, J.P.1    Casella, G.2
  • 13
    • 0032221034 scopus 로고    scopus 로고
    • Functional compatibility, Markov chains, and Gibbs sampling with improper priors
    • Hobert, J. P., Casella, G. (1998). Functional compatibility, Markov chains, and Gibbs sampling with improper priors. J. Comput. Graph. Statist. 7:42-60.
    • (1998) J. Comput. Graph. Statist , vol.7 , pp. 42-60
    • Hobert, J.P.1    Casella, G.2
  • 14
  • 15
    • 0012539879 scopus 로고    scopus 로고
    • Inversion of Bayes formula: Explicit formulas for unconditional pdf
    • Johnson, N. L, Balakrishnan, N, eds, New York: Wiley, pp
    • Ng, K. W. (1997). Inversion of Bayes formula: explicit formulas for unconditional pdf. In: Johnson, N. L., Balakrishnan, N., eds. Advances in the Theory and Practice in Statistics. New York: Wiley, pp. 571-584.
    • (1997) Advances in the Theory and Practice in Statistics , pp. 571-584
    • Ng, K.W.1
  • 16
    • 84985524194 scopus 로고
    • On characterizing some bivariate discrete distributions
    • Papageorgiou, H. (1983). On characterizing some bivariate discrete distributions. Austral. J. Statist. 25:136-144.
    • (1983) Austral. J. Statist , vol.25 , pp. 136-144
    • Papageorgiou, H.1
  • 17
    • 49649124614 scopus 로고
    • On a characterization of multivariate distribution by a set of its conditional distributions
    • International Statistical Institute
    • Patil, G. P. (1965). On a characterization of multivariate distribution by a set of its conditional distributions. In: Handbook of the 35th International Statistical Institute Conference in Belgrade. International Statistical Institute.
    • (1965) Handbook of the 35th International Statistical Institute Conference in Belgrade
    • Patil, G.P.1
  • 18
    • 0034525427 scopus 로고    scopus 로고
    • Variables finitas condicionalmente especificadas.
    • Pérez-Villalta, R. (2000). Variables finitas condicionalmente especificadas. Questioó 24:425-448.
    • (2000) Questioó , vol.24 , pp. 425-448
    • Pérez-Villalta, R.1
  • 20
    • 0037445841 scopus 로고    scopus 로고
    • Exact statistical solutions using the inverse Bayes formulae
    • Tian, G. L., Tan, M. (2003). Exact statistical solutions using the inverse Bayes formulae. Statist. Probab. Lett. 62:305-315.
    • (2003) Statist. Probab. Lett , vol.62 , pp. 305-315
    • Tian, G.L.1    Tan, M.2
  • 21
    • 0002929858 scopus 로고
    • Bivariate discrete measures via a power series conditional distribution and a regression function
    • Wesolowski, J. (1995a). Bivariate discrete measures via a power series conditional distribution and a regression function. J. Multivariate Anal. 55:219-229.
    • (1995) J. Multivariate Anal , vol.55 , pp. 219-229
    • Wesolowski, J.1
  • 22
    • 0010862969 scopus 로고
    • Bivariate distributions via a Pareto conditional distribution and a regression function
    • Wesolowski, J. (1995b). Bivariate distributions via a Pareto conditional distribution and a regression function. Ann. Instit. Statist. Math. 47:177-183.
    • (1995) Ann. Instit. Statist. Math , vol.47 , pp. 177-183
    • Wesolowski, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.