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Strong consistency of nonparametric Bayes density estimation on compact metric spaces with applications to specific manifolds

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  • Abhishek Bhattacharya
  • David Dunson

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  • Abhishek Bhattacharya & David Dunson, 2012. "Strong consistency of nonparametric Bayes density estimation on compact metric spaces with applications to specific manifolds," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(4), pages 687-714, August.
  • Handle: RePEc:spr:aistmt:v:64:y:2012:i:4:p:687-714
    DOI: 10.1007/s10463-011-0341-x
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    References listed on IDEAS

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    1. Lennox, Kristin P. & Dahl, David B. & Vannucci, Marina & Tsai, Jerry W., 2009. "Density Estimation for Protein Conformation Angles Using a Bivariate von Mises Distribution and Bayesian Nonparametrics," Journal of the American Statistical Association, American Statistical Association, vol. 104(486), pages 586-596.
    2. Abhishek Bhattacharya & David B. Dunson, 2010. "Nonparametric Bayesian density estimation on manifolds with applications to planar shapes," Biometrika, Biometrika Trust, vol. 97(4), pages 851-865.
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    Cited by:

    1. Persi Diaconis & Christof Seiler & Susan Holmes, 2014. "Connections and Extensions: A Discussion of the Paper by Girolami and Byrne," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(1), pages 3-7, March.
    2. Rabi Bhattacharya & Rachel Oliver, 2019. "Nonparametric Analysis of Non-Euclidean Data on Shapes and Images," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(1), pages 1-36, February.

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