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Volumn 100, Issue 3, 2013, Pages 623-640

Adaptive Bayesian multivariate density estimation with Dirichlet mixtures

Author keywords

Anisotropy; Dirichlet mixture; Multivariate density estimation; Nonparametric Bayesian method; Rate adaptation

Indexed keywords


EID: 84882571393     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/ast015     Document Type: Article
Times cited : (113)

References (23)
  • 1
    • 0033459856 scopus 로고    scopus 로고
    • Risk bounds for model selection via penalization
    • BARRON, A., birgè, L. & Massart, P. (1999). Risk bounds for model selection via penalization. Prob. Theory Rel. Fields 113, 301-413
    • (1999) Prob. Theory Rel. Fields , vol.113 , pp. 301-413
    • Barron, A.1    Birgè, L.2    Massart, P.3
  • 2
    • 0038702584 scopus 로고    scopus 로고
    • Adaptive Bayesian inference on the mean of an infinite-dimensional normal distribution
    • Belitser, E. & Ghosal, S. (2003). Adaptive Bayesian inference on the mean of an infinite-dimensional normal distribution. Ann. Statist. 31, 536-59
    • (2003) Ann. Statist , vol.31 , pp. 536-559
    • Belitser, E.1    Ghosal, S.2
  • 3
    • 78650114664 scopus 로고    scopus 로고
    • Adaptive nonparametric Bayesian inference using location-scale mixture priors
    • De Jonge, R. & van zanten, H. (2010). Adaptive nonparametric Bayesian inference using location-scale mixture priors. Ann. Statist. 38, 3300-20
    • (2010) Ann. Statist , vol.38 , pp. 3300-3320
    • De Jonge, R.1    Van Zanten, H.2
  • 4
    • 70350094855 scopus 로고    scopus 로고
    • Nonparametric Bayes applications to biostatistics
    • N. L. Hjort, C. Holmes, P. Müller & S. G. Walker, eds. Cambridge: Cambridge University Press
    • Dunson, D. B. (2010). Nonparametric Bayes applications to biostatistics. In Bayesian Nonparametrics, N. L. Hjort, C. Holmes, P. Müller & S. G. Walker, eds. Cambridge: Cambridge University Press, pp. 223-73
    • (2010) Bayesian Nonparametrics , pp. 223-273
    • Dunson, D.B.1
  • 5
    • 84950937290 scopus 로고
    • Bayesian density estimation and inference using mixtures
    • Escobar, M. D. & West, M. (1995). Bayesian density estimation and inference using mixtures. J. Am. Statist. Assoc. 90, 577-88
    • (1995) J. Am. Statist. Assoc , vol.90 , pp. 577-588
    • Escobar, M.D.1    West, M.2
  • 6
    • 0001120413 scopus 로고
    • Bayesian analysis of some nonparametric problems
    • Ferguson, T. S. (1973). Bayesian analysis of some nonparametric problems. Ann. Statist. 1, 209-30
    • (1973) Ann. Statist , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 7
    • 0001787029 scopus 로고
    • Bayesian density estimation by mixtures of normal distributions
    • H. Rizvi & J. Rustagi, eds. New York: Academic Press
    • Ferguson, T. S. (1983). Bayesian density estimation by mixtures of normal distributions. In Recent Advances in Statistics, H. Rizvi & J. Rustagi, eds. New York: Academic Press, pp. 287-302
    • (1983) Recent Advances in Statistics , pp. 287-302
    • Ferguson, T.S.1
  • 8
    • 0033074585 scopus 로고    scopus 로고
    • Posterior consistency of Dirichlet mixtures in density estimation
    • Ghosal, S., ghosh, J. K. & Ramamoorthi, R. V. (1999). Posterior consistency of Dirichlet mixtures in density estimation. Ann. Statist. 27, 143-58
    • (1999) Ann. Statist , vol.27 , pp. 143-158
    • Ghosal, S.1    Ghosh, J.K.2    Ramamoorthi, R.V.3
  • 9
    • 0034164796 scopus 로고    scopus 로고
    • Convergence rates of posterior distributions
    • Ghosal, S., ghosh, J. K. & van der VAART, A. (2000). Convergence rates of posterior distributions. Ann. Statist. 28, 500-31
    • (2000) Ann. Statist , vol.28 , pp. 500-531
    • Ghosal, S.1    Ghosh, J.K.2    Van Der Vaart, A.3
  • 10
  • 11
    • 0035470893 scopus 로고    scopus 로고
    • Entropies and rates of convergence for maximum likelihood and Bayes estimation for mixtures of normal densities
    • DOI 10.1214/aos/1013203452
    • Ghosal, S. & van der VAART, A. (2001). Entropies and rates of convergence for maximum likelihood and Bayes estimation for mixtures of normal densities. Ann. Statist. 29, 1233-63 (Pubitemid 33405973)
    • (2001) Annals of Statistics , vol.29 , Issue.5 , pp. 1233-1263
    • Ghosal, S.1    Van Der Vaart, A.W.2
  • 12
    • 33751526418 scopus 로고    scopus 로고
    • Posterior convergence rates of Dirichlet mixtures at smooth densities
    • Ghosal, S. & van der VAART, A. (2007). Posterior convergence rates of Dirichlet mixtures at smooth densities. Ann. Statist. 35, 697-723
    • (2007) Ann. Statist , vol.35 , pp. 697-723
    • Ghosal, S.1    Van Der Vaart, A.2
  • 13
    • 0036278271 scopus 로고    scopus 로고
    • Random rates in anisotropic regression
    • DOI 10.1214/aos/1021379858
    • Hoffmann, M. & Lepski, O. (2002). Random rates in anisotropic regression. Ann. Statist. 30, 325-58 (Pubitemid 37095357)
    • (2002) Annals of Statistics , vol.30 , Issue.2 , pp. 325-358
    • Hoffmann, M.1    Lepski, O.2
  • 14
    • 24344480521 scopus 로고    scopus 로고
    • Convergence rates for posterior distributions and adaptive estimation
    • DOI 10.1214/009053604000000490
    • Huang, T-M. (2004). Convergence rates for posterior distributions and adaptive estimation. Ann. Statist. 32, 1556-93 (Pubitemid 41250277)
    • (2004) Annals of Statistics , vol.32 , Issue.4 , pp. 1556-1593
    • Huang, T.-M.1
  • 15
    • 85015520081 scopus 로고    scopus 로고
    • Adaptive Bayesian density estimation with location-scale mixtures
    • Kruijer, W., ROUSSEAU, J. & van der VAART, A. (2010). Adaptive Bayesian density estimation with location-scale mixtures. Electron. J. Statist. 4, 1225-57
    • (2010) Electron. J. Statist , vol.4 , pp. 1225-1257
    • Kruijer, W.1    Rousseau, J.2    Van Der Vaart, A.3
  • 16
    • 0001876649 scopus 로고
    • On a class of Bayesian nonparametric estimates: I Density estimates
    • Lo, A. Y. (1984). On a class of Bayesian nonparametric estimates: I. Density estimates. Ann. Statist. 12, 351-7
    • (1984) Ann. Statist , vol.12 , pp. 351-357
    • Lo, A.Y.1
  • 17
    • 0002881872 scopus 로고    scopus 로고
    • Bayesian curve fitting using multivariate normal mixtures
    • Müller, P., ERKANLI, A. & West, M. (1996). Bayesian curve fitting using multivariate normal mixtures. Biometrika 83, 67-79
    • (1996) Biometrika , vol.83 , pp. 67-79
    • Müller, P.1    Erkanli, A.2    West, M.3
  • 18
    • 4043092820 scopus 로고    scopus 로고
    • Nonparametric Bayesian data analysis
    • Müller, P. & Quintana, F. A. (2004). Nonparametric Bayesian data analysis. Statist. Sci. 19, 95-111
    • (2004) Statist. Sci , vol.19 , pp. 95-111
    • Müller, P.1    Quintana, F.A.2
  • 19
    • 73949090480 scopus 로고    scopus 로고
    • Rates of convergence for the posterior distributions of mixtures of betas and adaptive nonparametric estimation of the density
    • Rousseau, J. (2010). Rates of convergence for the posterior distributions of mixtures of betas and adaptive nonparametric estimation of the density. Ann. Statist. 38, 146-80
    • (2010) Ann. Statist , vol.38 , pp. 146-180
    • Rousseau, J.1
  • 21
    • 33751551247 scopus 로고    scopus 로고
    • Posterior consistency of dirichlet location-scale mixture of normals in density estimation and regression
    • TOKDAR, S. T. (2006). Posterior consistency of Dirichlet location-scale mixture of normals in density estimation and regression. Sankhȳa 68, 90-110 (Pubitemid 44830382)
    • (2006) Sankhya: The Indian Journal of Statistics , vol.68 , Issue.1 , pp. 90-110
    • Tokdar, S.T.1
  • 22
    • 69049092744 scopus 로고    scopus 로고
    • Adaptive Bayesian estimation using a Gaussian random field with inverse gamma bandwidth
    • Van Der VAART, A. & van zanten, H. (2009). Adaptive Bayesian estimation using a Gaussian random field with inverse gamma bandwidth. Ann. Statist. 37, 2655-75
    • (2009) Ann. Statist , vol.37 , pp. 2655-2675
    • Van Der Vaart, A.1    Van Zanten, H.2
  • 23
    • 77956773597 scopus 로고    scopus 로고
    • The L1-consistency of Dirichlet mixtures in multivariate Bayesian density estimation
    • Wu, Y. & Ghosal, S. (2010). The L1-consistency of Dirichlet mixtures in multivariate Bayesian density estimation. J. Mult. Anal. 101, 2411-9
    • (2010) J. Mult. Anal , vol.101 , pp. 2411-2419
    • Wu, Y.1    Ghosal, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.