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Volumn , Issue , 2006, Pages 429-443

Convergence and consistency of Newton’s algorithm for estimating mixing distribution

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EID: 84967360281     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9781860948886_0019     Document Type: Chapter
Times cited : (25)

References (12)
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    • Beckett, L.1    Diaconis, P.2
  • 2
    • 0032335655 scopus 로고    scopus 로고
    • Asymptotic behavior of Bayes estimates under possibly incorrect models
    • Bunke, O. and Milhaud, X. (1998). Asymptotic behavior of Bayes estimates under possibly incorrect models. Ann. Statist., 26(2), 617-644.
    • (1998) Ann. Statist. , vol.26 , Issue.2 , pp. 617-644
    • Bunke, O.1    Milhaud, X.2
  • 4
    • 0000867838 scopus 로고
    • On the optimal rates of convergence for nonparametric deconvolution problems
    • Fan, J. (1991). On the optimal rates of convergence for nonparametric deconvolution problems. Ann. Statist. 19(3), 1257-1272.
    • (1991) Ann. Statist. , vol.19 , Issue.3 , pp. 1257-1272
    • Fan, J.1
  • 5
    • 0033074585 scopus 로고    scopus 로고
    • Posterior consistency of Dirichlet Mixtures in density estimation
    • Ghosal, S., Ghosh, J. K. and Ramamoorthi, R. V. (1999). Posterior consistency of Dirichlet Mixtures in density estimation. Ann. Statist. 27, 143-158.
    • (1999) Ann. Statist. , vol.27 , pp. 143-158
    • Ghosal, S.1    Ghosh, J.K.2    Ramamoorthi, R.V.3
  • 8
    • 0003286354 scopus 로고
    • Mixture models: Theory, geometry and applications
    • Hayward, CA
    • Lindsay, B. (1995). Mixture models: Theory, geometry and applications. Institute of Mathematical Statistics, Hayward, CA.
    • (1995) Institute of Mathematical Statistics
    • Lindsay, B.1
  • 9
    • 0030487956 scopus 로고    scopus 로고
    • Nonparametric hierarchical Bayes via sequential imputations
    • Liu, J. S. (1996).Nonparametric hierarchical Bayes via sequential imputations. Ann. Statist., 24, 911-930.
    • (1996) Ann. Statist. , vol.24 , pp. 911-930
    • Liu, J.S.1
  • 11
    • 0009938021 scopus 로고    scopus 로고
    • A recursive algorithm for nonparametric analysis with missing data
    • Newton, M. A. and Zhang, Y. (1999). A recursive algorithm for nonparametric analysis with missing data. Biometrika, 86, 15-26.
    • (1999) Biometrika , vol.86 , pp. 15-26
    • Newton, M.A.1    Zhang, Y.2
  • 12
    • 59349118279 scopus 로고    scopus 로고
    • On a nonparametric recursive estimator of the mixing distribution
    • Newton, M.A. (2002) On a nonparametric recursive estimator of the mixing distribution. Sankhyā, Series A, 64, 306-322.
    • (2002) Sankhyā, Series A , vol.64 , pp. 306-322
    • Newton, M.A.1


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