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Volumn 54, Issue 4, 2010, Pages 816-832

Bayesian density estimation and model selection using nonparametric hierarchical mixtures

Author keywords

[No Author keywords available]

Indexed keywords

ALMOST SURE; BAYES FACTOR; BAYESIAN; DENSITY ESTIMATION; FITTING MODEL; FUNCTIONALS; GENERALIZED GAMMA; HIERARCHICAL MIXTURES; HISTORICAL DATA; MARKOV CHAIN MONTE CARLO ALGORITHMS; MIXING MEASURE; MIXING PROCESS; MODEL SELECTION; NON-PARAMETRIC; NON-PARAMETRIC ALTERNATIVES; NUMBER OF COMPONENTS; POSITIVE REAL; PREDICTIVE DISTRIBUTIONS;

EID: 73149115734     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2009.11.002     Document Type: Article
Times cited : (34)

References (38)
  • 1
    • 73149123865 scopus 로고    scopus 로고
    • Argiento, R., Guglielmi, A., Pievatolo, A., 2008. Nonparametric Bayesian mixture modelling for failure time data. Technical report no. 08.3-MI, CNR IMATI, Milano
    • Argiento, R., Guglielmi, A., Pievatolo, A., 2008. Nonparametric Bayesian mixture modelling for failure time data. Technical report no. 08.3-MI, CNR IMATI, Milano
  • 2
    • 69249220082 scopus 로고    scopus 로고
    • A comparison of nonparametric priors in hierarchical mixture modelling for AFT regression
    • Argiento R., Guglielmi A., and Pievatolo A. A comparison of nonparametric priors in hierarchical mixture modelling for AFT regression. Journal of Statistical Planning and Inference 139 (2009) 3989-4005
    • (2009) Journal of Statistical Planning and Inference , vol.139 , pp. 3989-4005
    • Argiento, R.1    Guglielmi, A.2    Pievatolo, A.3
  • 3
    • 0037361675 scopus 로고    scopus 로고
    • Marginal Likelihood and Bayes factors for Dirichlet process mixture models
    • Basu S., and Chib S. Marginal Likelihood and Bayes factors for Dirichlet process mixture models. Journal of the American Statistical Association 98 (2003) 224-235
    • (2003) Journal of the American Statistical Association , vol.98 , pp. 224-235
    • Basu, S.1    Chib, S.2
  • 4
    • 1842715165 scopus 로고    scopus 로고
    • Bayesian and conditional frequentist testing of a parametric model versus nonparametric alternatives
    • Berger J.O., and Guglielmi A. Bayesian and conditional frequentist testing of a parametric model versus nonparametric alternatives. Journal of the American Statistical Association 96 (2001) 174-184
    • (2001) Journal of the American Statistical Association , vol.96 , pp. 174-184
    • Berger, J.O.1    Guglielmi, A.2
  • 5
    • 0033333437 scopus 로고    scopus 로고
    • Generalized gamma measures and shot-noise Cox processes
    • Brix A. Generalized gamma measures and shot-noise Cox processes. Advances in Applied Probability 31 (1999) 929-953
    • (1999) Advances in Applied Probability , vol.31 , pp. 929-953
    • Brix, A.1
  • 6
    • 0000904732 scopus 로고    scopus 로고
    • A semi-parametric Bayesian model for randomized block designs
    • Bush C.A., and MacEachern S.N. A semi-parametric Bayesian model for randomized block designs. Biometrika 83 (1996) 1013-1021
    • (1996) Biometrika , vol.83 , pp. 1013-1021
    • Bush, C.A.1    MacEachern, S.N.2
  • 8
    • 0000199491 scopus 로고    scopus 로고
    • On Bayes factors for nonparametric alternatives
    • Bernardo J.M., Berger J.O., Dawid A.P., and Smith A.F.M. (Eds), Oxford University Press, Oxford
    • Carota C., and Parmigiani G. On Bayes factors for nonparametric alternatives. In: Bernardo J.M., Berger J.O., Dawid A.P., and Smith A.F.M. (Eds). Bayesian Statistics vol. 5 (1996), Oxford University Press, Oxford 507-511
    • (1996) Bayesian Statistics , vol.5 , pp. 507-511
    • Carota, C.1    Parmigiani, G.2
  • 10
    • 35548983835 scopus 로고    scopus 로고
    • A note on Bayesian nonparametric priors derived from exponentially tilted Poisson
    • Cerquetti A. A note on Bayesian nonparametric priors derived from exponentially tilted Poisson. Statistics and Probability Letters 77 (2007) 1705-1711
    • (2007) Statistics and Probability Letters , vol.77 , pp. 1705-1711
    • Cerquetti, A.1
  • 11
    • 55549125886 scopus 로고    scopus 로고
    • On a Gibbs characterization of normalized generalized Gamma processes
    • Cerquetti A. On a Gibbs characterization of normalized generalized Gamma processes. Statistics and Probability Letters 78 (2008) 3123-3128
    • (2008) Statistics and Probability Letters , vol.78 , pp. 3123-3128
    • Cerquetti, A.1
  • 12
    • 0001787029 scopus 로고
    • Bayesian density estimation by mixtures of normal distributions
    • Rizvi H., and Rustagi J. (Eds), Academic Press, New York
    • Ferguson T.S. Bayesian density estimation by mixtures of normal distributions. In: Rizvi H., and Rustagi J. (Eds). Recent Advances in Statistics (1983), Academic Press, New York 287-302
    • (1983) Recent Advances in Statistics , pp. 287-302
    • Ferguson, T.S.1
  • 13
    • 0001411887 scopus 로고
    • A representation of independent increment processes without Gaussian components
    • Ferguson T.S., and Klass M.J. A representation of independent increment processes without Gaussian components. The Annals of Mathematical Statistics 43 (1972) 1634-1643
    • (1972) The Annals of Mathematical Statistics , vol.43 , pp. 1634-1643
    • Ferguson, T.S.1    Klass, M.J.2
  • 14
    • 0013095853 scopus 로고    scopus 로고
    • Bayesian encompassing specification tests of a parametric model against a nonparametric alternative
    • Technical Report 96.08, Institut de Statistique, Université Catholique de Louvain, Belgium
    • Florens, J.P., Richard, J.F., Rolin, J.M, 1996. Bayesian encompassing specification tests of a parametric model against a nonparametric alternative. Technical Report 96.08, Institut de Statistique, Université Catholique de Louvain, Belgium
    • (1996)
    • Florens, J.P.1    Richard, J.F.2    Rolin, J.M.3
  • 15
    • 0036017464 scopus 로고    scopus 로고
    • A computational approach for full nonparametric Bayesian inference under Dirichlet process mixture models
    • Gelfand A.E., and Kottas A. A computational approach for full nonparametric Bayesian inference under Dirichlet process mixture models. Journal of Computational and Graphical Statistics 11 (2002) 289-305
    • (2002) Journal of Computational and Graphical Statistics , vol.11 , pp. 289-305
    • Gelfand, A.E.1    Kottas, A.2
  • 16
    • 33748669419 scopus 로고    scopus 로고
    • Exchangeable Gibbs partitions and Stirling triangles
    • Gnedin A., and Pitman J. Exchangeable Gibbs partitions and Stirling triangles. Journal of Mathematical Sciences 138 (2006) 5674-5685
    • (2006) Journal of Mathematical Sciences , vol.138 , pp. 5674-5685
    • Gnedin, A.1    Pitman, J.2
  • 17
    • 73149096311 scopus 로고    scopus 로고
    • On the Bayesian analysis of species sampling mixture models for density estimation
    • Technical Report, University of Warwick
    • Griffin, J.E., 2006. On the Bayesian analysis of species sampling mixture models for density estimation. Technical Report, University of Warwick
    • (2006)
    • Griffin, J.E.1
  • 20
    • 0346338291 scopus 로고    scopus 로고
    • Generalized weighted Chinese restaurant processes for species sampling mixture models
    • Ishwaran H., and James L.F. Generalized weighted Chinese restaurant processes for species sampling mixture models. Statistica Sinica 13 (2003) 1211-1235
    • (2003) Statistica Sinica , vol.13 , pp. 1211-1235
    • Ishwaran, H.1    James, L.F.2
  • 21
  • 24
    • 60249093564 scopus 로고    scopus 로고
    • Posterior analysis for normalized random measures with independent increments
    • James L.F., Lijoi A., and Prünster I. Posterior analysis for normalized random measures with independent increments. Scandinavian Journal of Statistics 36 (2009) 76-97
    • (2009) Scandinavian Journal of Statistics , vol.36 , pp. 76-97
    • James, L.F.1    Lijoi, A.2    Prünster, I.3
  • 28
    • 60149085871 scopus 로고    scopus 로고
    • Investigating nonparametric priors with Gibbs structure
    • Lijoi A., Prünster I., and Walker S.G. Investigating nonparametric priors with Gibbs structure. Statistica Sinica 18 (2008) 1653-1668
    • (2008) Statistica Sinica , vol.18 , pp. 1653-1668
    • Lijoi, A.1    Prünster, I.2    Walker, S.G.3
  • 29
    • 0001876649 scopus 로고
    • On a class of Bayesian nonparametric estimates: I. Density estimates
    • Lo A.Y. On a class of Bayesian nonparametric estimates: I. Density estimates. The Annals of Statistics 12 (1984) 351-357
    • (1984) The Annals of Statistics , vol.12 , pp. 351-357
    • Lo, A.Y.1
  • 30
    • 56049096276 scopus 로고    scopus 로고
    • Some issues in nonparametric Bayesian modeling using species sampling models
    • Navarrete C., Quintana F.A., and Müller P. Some issues in nonparametric Bayesian modeling using species sampling models. Statistical Modelling 8 (2008) 3-21
    • (2008) Statistical Modelling , vol.8 , pp. 3-21
    • Navarrete, C.1    Quintana, F.A.2    Müller, P.3
  • 31
    • 68149131525 scopus 로고    scopus 로고
    • A sensitivity analysis for Bayesian nonparametric density estimators
    • Nieto-Barajas L.E., and Prünster I. A sensitivity analysis for Bayesian nonparametric density estimators. Statistica Sinica 19 (2009) 685-705
    • (2009) Statistica Sinica , vol.19 , pp. 685-705
    • Nieto-Barajas, L.E.1    Prünster, I.2
  • 32
    • 38249001768 scopus 로고
    • Order statistics for jumps of normalised subordinators
    • Perman M. Order statistics for jumps of normalised subordinators. Stochastic Processes and their Applications 46 (1993) 267-281
    • (1993) Stochastic Processes and their Applications , vol.46 , pp. 267-281
    • Perman, M.1
  • 33
    • 0000130672 scopus 로고    scopus 로고
    • Some developments of the Blackwell-MacQueen urn scheme
    • Statistics, Probability and Game Theory. Ferguson T.S., Shapley L.S., and MacQueen J.B. (Eds), Institute of Mathematical Statistics, Hayward
    • Pitman J. Some developments of the Blackwell-MacQueen urn scheme. In: Ferguson T.S., Shapley L.S., and MacQueen J.B. (Eds). Statistics, Probability and Game Theory. IMS Lecture Notes Monograph Series vol. 30 (1996), Institute of Mathematical Statistics, Hayward 245-267
    • (1996) IMS Lecture Notes Monograph Series , vol.30 , pp. 245-267
    • Pitman, J.1
  • 34
    • 18244380018 scopus 로고    scopus 로고
    • Poisson-Kingman partitions
    • Science and Statistics: A Festschrift for Terry Speed. Goldstein D.R. (Ed), Institute of Mathematical Statistics, Hayward, California
    • Pitman J. Poisson-Kingman partitions. In: Goldstein D.R. (Ed). Science and Statistics: A Festschrift for Terry Speed. Lectures Notes - Monograph Series vol. 40 (2003), Institute of Mathematical Statistics, Hayward, California 1-34
    • (2003) Lectures Notes - Monograph Series , vol.40 , pp. 1-34
    • Pitman, J.1
  • 36
    • 0038702581 scopus 로고    scopus 로고
    • Distributional results for means of normalized random measures with independent increments
    • Regazzini E., Lijoi A., and Prünster I. Distributional results for means of normalized random measures with independent increments. The Annals of Statistics 31 (2003) 560-585
    • (2003) The Annals of Statistics , vol.31 , pp. 560-585
    • Regazzini, E.1    Lijoi, A.2    Prünster, I.3
  • 37
    • 18244378520 scopus 로고    scopus 로고
    • On Bayesian analysis of mixtures with an unknown number of components. (Corr: 1998V60 p661)
    • Richardson S., and Green P.J. On Bayesian analysis of mixtures with an unknown number of components. (Corr: 1998V60 p661). Journal of the Royal Statistical Society B 59 (1997) 731-758
    • (1997) Journal of the Royal Statistical Society B , vol.59 , pp. 731-758
    • Richardson, S.1    Green, P.J.2
  • 38
    • 47749140733 scopus 로고    scopus 로고
    • Nonparametric Bayesian estimation of a bivariate density with interval censored data
    • Yang M., Hanson T., and Christensen R. Nonparametric Bayesian estimation of a bivariate density with interval censored data. Computational Statistics and Data Analysis 52 (2008) 5202-5214
    • (2008) Computational Statistics and Data Analysis , vol.52 , pp. 5202-5214
    • Yang, M.1    Hanson, T.2    Christensen, R.3


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