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Volumn 5, Issue , 2011, Pages 373-404

On the Bernstein-von Mises phenomenon in the Gaussian white noise model

Author keywords

Nonparametric bernstein von mises theorem

Indexed keywords


EID: 79960986617     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/11-EJS611     Document Type: Article
Times cited : (41)

References (14)
  • 1
    • 84855686993 scopus 로고    scopus 로고
    • A semiparametric Bernstein-von Mises Theorem for Gaussian process priors
    • to appear
    • Castillo, I. A semiparametric Bernstein-von Mises Theorem for Gaussian process priors, Probability Theory and Related Fields (to appear)
    • Probability Theory and Related Fields
    • Castillo, I.1
  • 2
    • 21144475432 scopus 로고
    • An analysis of Bayesian inference for nonparametric regression
    • MR1232525
    • Cox, D. An analysis of Bayesian inference for nonparametric regression, Annals of Statistics 21(2), pp. 903-923, 1993. MR1232525
    • (1993) Annals of Statistics , vol.21 , Issue.2 , pp. 903-923
    • Cox, D.1
  • 3
    • 0033236897 scopus 로고    scopus 로고
    • On the Bernstein-von Mises Theorem with infinite dimensional parameters
    • MR1740119
    • Freedman, D. On the Bernstein-von Mises Theorem with infinite dimensional parameters, Annals of Statistics 27(4), pp. 1119-1140, 1999. MR1740119
    • (1999) Annals of Statistics , vol.27 , Issue.4 , pp. 1119-1140
    • Freedman, D.1
  • 4
    • 84972511497 scopus 로고
    • The topological support of Gauss measure on Hilbert space
    • MR0261332
    • Îto, K. The topological support of Gauss measure on Hilbert space, Nagoya Mathematical Journal, 38, pp. 181-183, 1970. MR0261332
    • (1970) Nagoya Mathematical Journal , vol.38 , pp. 181-183
    • Îto, K.1
  • 5
    • 24344452101 scopus 로고    scopus 로고
    • A Bernstein-von Mises Theorem in the nonparametric right-censoring model
    • MR2089131
    • Kim, Y. and Lee, J. A Bernstein-von Mises Theorem in the nonparametric right-censoring model, Annals of Statistics 32(4), pp. 1492-1512, 2004. MR2089131
    • (2004) Annals of Statistics , vol.32 , Issue.4 , pp. 1492-1512
    • Kim, Y.1    Lee, J.2
  • 6
    • 33845333028 scopus 로고    scopus 로고
    • The Bernstein-von Mises Theorem for the proportional hazard model
    • MR2283713
    • Kim, Y. The Bernstein-von Mises Theorem for the proportional hazard model, Annals of Statistics 34(4), pp. 1678-1700, 2006. MR2283713
    • (2006) Annals of Statistics , vol.34 , Issue.4 , pp. 1678-1700
    • Kim, Y.1
  • 7
    • 0009365976 scopus 로고
    • Gaussian measures on a Banach space
    • MR0260010
    • Kuelbs, J. Gaussian measures on a Banach space, Journal of Functional Analysis 5, pp. 354-367, 1970. MR0260010
    • (1970) Journal of Functional Analysis , vol.5 , pp. 354-367
    • Kuelbs, J.1
  • 8
    • 0003225839 scopus 로고
    • Gaussian Measures in Banach Spaces
    • Springer-Verlag Heidelberg, MR0461643
    • Kuo, H-H. Gaussian Measures in Banach Spaces, Lecture Notes in Math., no. 463, Springer-Verlag Heidelberg, 1975. MR0461643
    • (1975) Lecture Notes In Math , Issue.463
    • Kuo, H.-H.1
  • 11
    • 84872077321 scopus 로고    scopus 로고
    • Bernstein-von Mises Theorem for linear functionals of the density
    • to appear
    • Rivoirard, V. and Rousseau, J. Bernstein-von Mises Theorem for linear functionals of the density, Annals of Statistics (to appear)
    • Annals of Statistics
    • Rivoirard, V.1    Rousseau, J.2
  • 12
    • 0036489060 scopus 로고    scopus 로고
    • Asymptotic normality of semiparametric and nonparametric posterior distributions
    • MR1947282
    • Shen, X. Asymptotic normality of semiparametric and nonparametric posterior distributions, J. of American Stat. Association 97, pp. 222-235, 2002. MR1947282
    • (2002) J. of American Stat. Association , vol.97 , pp. 222-235
    • Shen, X.1
  • 14
    • 0034347381 scopus 로고    scopus 로고
    • Bayesian aspects of some nonparametric problems
    • MR1790008
    • Zhao, L. H. Bayesian aspects of some nonparametric problems, Annals of Statistics 28(2), pp. 532-552, 2000. MR1790008
    • (2000) Annals of Statistics , vol.28 , Issue.2 , pp. 532-552
    • Zhao, L.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.