Strong density for higher order Sobolev spaces into compact manifolds
نویسندگان
چکیده
منابع مشابه
Strong consistency of nonparametric Bayes density estimation on compact metric spaces with applications to specific manifolds.
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 si...
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2015
ISSN: 1435-9855
DOI: 10.4171/jems/518