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Volumn 111, Issue 1-2, 2003, Pages 129-142

A default Bayesian test for the number of components in a mixture

Author keywords

Bayes factor; Fractional prior; Improper prior; Intrinsic prior; Mixture model; Model selection

Indexed keywords


EID: 0037290163     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00294-X     Document Type: Article
Times cited : (20)

References (22)
  • 1
    • 0000298252 scopus 로고    scopus 로고
    • The Intrinsic Bayes Factor for Model Selection and Prediction
    • Berger, J.O., Pericchi, L.R., 1996. The Intrinsic Bayes Factor for Model Selection and Prediction. J. Amer. Statist. Assoc. 91, 109-122.
    • (1996) J. Amer. Statist. Assoc , vol.91 , pp. 109-122
    • Berger, J.O.1    Pericchi, L.R.2
  • 2
    • 0003293212 scopus 로고    scopus 로고
    • On criticisms and comparisons of default Bayes factors for model selection and hypothesis testing
    • Racugno, W. (Ed.), Bologna, Pitagora
    • Berger, J.O., Pericchi, L.R., 1998. On criticisms and comparisons of default Bayes factors for model selection and hypothesis testing. In: Racugno, W. (Ed.), Proceedings of the Workshop on Model Selection. Bologna, Pitagora, pp. 1-50.
    • (1998) Proceedings of the Workshop on Model Selection , pp. 1-50
    • Berger, J.O.1    Pericchi, L.R.2
  • 3
    • 0002858519 scopus 로고
    • A Bayesian analysis of simple mixture problems
    • Bernardo, J.M., DeGroot, M., Lindley, D.V., Smith, A.F.M. (Eds.), Oxford University Press, Oxford
    • Bernardo, J.M., Girón, F.J., 1988. A Bayesian analysis of simple mixture problems. In: Bernardo, J.M., DeGroot, M., Lindley, D.V., Smith, A.F.M. (Eds.), Bayesian Statistics, Vol. 3. Oxford University Press, Oxford, pp. 67-78.
    • (1988) Bayesian Statistics , vol.3 , pp. 67-78
    • Bernardo, J.M.1    Girón, F.J.2
  • 4
    • 0001501154 scopus 로고
    • Quantifying prior opinion
    • Bernardo, J.M., DeGroot, M., Lindley, D.V., Smith, A.F.M. (Eds.), Valencia University Press, Valencia
    • Diaconis, P., Ylvisaker, D., 1985. Quantifying prior opinion. In: Bernardo, J.M., DeGroot, M., Lindley, D.V., Smith, A.F.M. (Eds.), Bayesian Statistics, Vol. 2. Valencia University Press, Valencia, pp. 255-276.
    • (1985) Bayesian Statistics , vol.2 , pp. 255-276
    • Diaconis, P.1    Ylvisaker, D.2
  • 5
    • 0001244941 scopus 로고
    • Estimation of finite mixture distributions through Bayesian sampling
    • Diebolt, J., Robert, C.P., 1994. Estimation of finite mixture distributions through Bayesian sampling. J. Roy. Statist. Soc. Ser. B 56, 363-375.
    • (1994) J. Roy. Statist. Soc. Ser. B , vol.56 , pp. 363-375
    • Diebolt, J.1    Robert, C.P.2
  • 6
    • 84950937290 scopus 로고
    • Bayesian density estimation and inference using mixtures
    • Escobar, M.D., West, M., 1995. Bayesian density estimation and inference using mixtures. J. Amer. Statist. Assoc. 90, 577-588.
    • (1995) J. Amer. Statist. Assoc , vol.90 , pp. 577-588
    • Escobar, M.D.1    West, M.2
  • 8
    • 0000391986 scopus 로고    scopus 로고
    • Testing for mixtures: A Bayesian entropic approach
    • Berger, J.O., Bernardo, J.M., Dawid, A.P., Smith, A.F.M. (Eds.), Oxford University Press, London
    • Mengersen, K., Robert, C., 1996. Testing for mixtures: a Bayesian entropic approach. In: Berger, J.O., Bernardo, J.M., Dawid, A.P., Smith, A.F.M. (Eds.), Bayesian Statistics, Vol. 5. Oxford University Press, London, pp. 255-276.
    • (1996) Bayesian Statistics , vol.5 , pp. 255-276
    • Mengersen, K.1    Robert, C.2
  • 9
    • 0001279067 scopus 로고    scopus 로고
    • Bayes factor for intrinsic and fractional priors in nested models. Bayesian robustness
    • Dodge, Y. (Ed.), Institute of Mathematical Statistics, Hayward, CA
    • 1-Statistical Procedures and Related Topics, Vol. 31. Institute of Mathematical Statistics, Hayward, CA, pp. 257-270.
    • (1997) 1-Statistical Procedures and Related Topics , vol.31 , pp. 257-270
    • Moreno, E.1
  • 10
    • 0032273328 scopus 로고    scopus 로고
    • An intrinsic limiting procedure for model selection and hypotheses testing
    • Moreno, E., Bertolino, F., Racugno, W., 1998. An intrinsic limiting procedure for model selection and hypotheses testing. J. Amer. Statist. Assoc. 93, 1451-1460.
    • (1998) J. Amer. Statist. Assoc , vol.93 , pp. 1451-1460
    • Moreno, E.1    Bertolino, F.2    Racugno, W.3
  • 11
    • 0001857092 scopus 로고
    • Fractional bayes factor for model comparison (with discussion)
    • O'Hagan, A., 1995. Fractional bayes factor for model comparison (with discussion). J. Roy. Statist. Soc. Ser. B 57, 99-138.
    • (1995) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 99-138
    • O'Hagan, A.1
  • 12
    • 0008690862 scopus 로고    scopus 로고
    • Development of expected posterior priors for model selection
    • Ph.D. Dissertation, Department of Statistics, Purdue University
    • Peréz, J.M., 1998. Development of expected posterior priors for model selection. Ph.D. Dissertation, Department of Statistics, Purdue University.
    • (1998)
    • Peréz, J.M.1
  • 13
    • 4243282121 scopus 로고    scopus 로고
    • Default analysis of mixture models using expected posterior priors
    • ISDS Discussion Paper 00-08, Duke University
    • Peréz, J.M., Berger, J.O., 2000. Default analysis of mixture models using expected posterior priors. ISDS Discussion Paper 00-08, Duke University.
    • (2000)
    • Peréz, J.M.1    Berger, J.O.2
  • 14
    • 0001180165 scopus 로고
    • Probes of large scale structures in the corona borealis region
    • Postman, M., Huchra, J.P., Geller, M.J., 1986. Probes of large scale structures in the corona borealis region. Astronom. J. 92, 1238-1247.
    • (1986) Astronom. J , vol.92 , pp. 1238-1247
    • Postman, M.1    Huchra, J.P.2    Geller, M.J.3
  • 15
    • 18244378520 scopus 로고    scopus 로고
    • On Bayesian analysis of mixtures with an unknown number of components
    • (with discussion)
    • Richardson, S., Green, P.J., 1997. On Bayesian analysis of mixtures with an unknown number of components (with discussion) J. Roy. Statist. Soc. B 59, 731-792.
    • (1997) J. Roy. Statist. Soc. B , vol.59 , pp. 731-792
    • Richardson, S.1    Green, P.J.2
  • 16
    • 0033611397 scopus 로고    scopus 로고
    • Reparameterization issues in mixture modelling and their bearing on MCMC algorithms
    • Robert, C.P., Mengersen, K.L., 1999. Reparameterization issues in mixture modelling and their bearing on MCMC algorithms. Comput. Statist. Data Anal. 29 (3), 325-343.
    • (1999) Comput. Statist. Data Anal , vol.29 , Issue.3 , pp. 325-343
    • Robert, C.P.1    Mengersen, K.L.2
  • 17
    • 0000795635 scopus 로고
    • Density estimation with confidence sets exemplified by superclusters and voids in the galaxies
    • Roeder, C., 1990. Density estimation with confidence sets exemplified by superclusters and voids in the galaxies. J. Amer. Statist. Assoc. 85, 617-624.
    • (1990) J. Amer. Statist. Assoc , vol.85 , pp. 617-624
    • Roeder, C.1
  • 18
    • 21744460005 scopus 로고    scopus 로고
    • Practical Bayesian density estimation using mixtures of normals
    • Roeder, C., Wasserman, L., 1997. Practical Bayesian density estimation using mixtures of normals. J. Amer. Statist. Assoc. 92, 894-902.
    • (1997) J. Amer. Statist. Assoc , vol.92 , pp. 894-902
    • Roeder, C.1    Wasserman, L.2
  • 19
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz, G., 1978. Estimating the dimension of a model. Ann. Statist. 6, 461-464.
    • (1978) Ann. Statist , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 20
    • 0041982252 scopus 로고    scopus 로고
    • Default Bayesian analysis of mixtures models
    • Thesis, Purdue University, Department of Statistics
    • Shui, C., 1997. Default Bayesian analysis of mixtures models. Thesis, Purdue University, Department of Statistics.
    • (1997)
    • Shui, C.1
  • 21
    • 0003747605 scopus 로고
    • Statistical analysis of finite mixtures distributions
    • Wiley, New York
    • Titterington, D.M., Smith, A.F.M., Makov, U., 1985. Statistical analysis of finite mixtures distributions. Wiley, New York.
    • (1985)
    • Titterington, D.M.1    Smith, A.F.M.2    Makov, U.3
  • 22
    • 0003049326 scopus 로고
    • Modelling with mixtures
    • Berger, J.O., Bernardo, J.M., Dawid, A.P., Smith, A.F.M. (Eds.), Oxford University Press, London
    • West, M., 1992. Modelling with mixtures. In: Berger, J.O., Bernardo, J.M., Dawid, A.P., Smith, A.F.M. (Eds.), Bayesian Statistics, Vol. 4. Oxford University Press, London, pp. 503-524.
    • (1992) Bayesian Statistics , vol.4 , pp. 503-524
    • West, M.1


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