ArticleAnnals of the Institute of Statistical Mathematics2012
Strong consistency of nonparametric Bayes density estimation on compact metric spaces with applications to specific manifolds.
Article in Annals of the Institute of Statistical Mathematics, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Posterior consistency in conditional distribution estimation.Journal of multivariate analysis · 2013Article
- Classification via Bayesian Nonparametric Learning of Affine Subspaces.Journal of the American Statistical Association · 2013Article
- Nonparametric Bayes Classification and Hypothesis Testing on Manifolds.Journal of multivariate analysis · 2012Article
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Authors and funding
2 authors.
Funding
Abstract
This article considers a broad class of kernel mixture density models on compact metric spaces and manifolds. Following a Bayesian approach with a nonparametric prior on the location mixing distribution, sufficient conditions are obtained on the kernel, prior and the underlying space for strong posterior consistency at any continuous density. The prior is also allowed to depend on the sample size n and sufficient conditions are obtained for weak and strong consistency. These conditions are verified on compact Euclidean spaces using multivariate Gaussian kernels, on the hypersphere using a von Mises-Fisher kernel and on the planar shape space using complex Watson kernels.
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Registered trials
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