Strong consistency of nonparametric Bayes density estimation on compact metric spaces with applications to specific manifolds-Reference-Cited by-同舟云学术

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

Published:2011-11-18 Issue:4 Volume:64 Page:687-714
ISSN:0020-3157
Container-title:Annals of the Institute of Statistical Mathematics
language:en
Short-container-title:Ann Inst Stat Math

Author:

Bhattacharya Abhishek,Dunson David B.

Publisher

Springer Science and Business Media LLC

Subject

Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s10463-011-0341-x.pdf

Reference21 articles.

1. Barron A. R. (1989) Uniformly powerful goodness of fit tests. Annals of Statistics 17: 107–124

2. Bhattacharya A., Dunson D. (2010a) Nonparametric Bayesian density estimation on manifolds with applications to planar shapes. Biometrika 97(4): 851–865

3. Bhattacharya, A., Dunson, D. (2010b). Nonparametric Bayes classification and hypothesis testing on manifolds. Discussion Paper, Department of Statistical Science, Duke University.

4. Bhattacharya R. N., Patrangenaru V. (2003) Large sample theory of intrinsic and extrinsic sample means on manifolds. Annals of Statistics 31: 1–29

5. Dryden I. L., Mardia K. V. (1998) Statistical Shape Analysis. Wiley, New York

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