文章基本信息

标题：Posterior contraction rates for deconvolution of Dirichlet-Laplace mixtures
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作者：Fengnan Gao ; Aad van der Vaart
期刊名称：Electronic Journal of Statistics
印刷版ISSN：1935-7524
出版年度：2016
卷号：10
期号：1
页码：608-627
DOI：10.1214/16-EJS1119
语种：English
出版社：Institute of Mathematical Statistics
摘要：We study nonparametric Bayesian inference with location mixtures of the Laplace density and a Dirichlet process prior on the mixing distribution. We derive a contraction rate of the corresponding posterior distribution, both for the mixing distribution relative to the Wasserstein metric and for the mixed density relative to the Hellinger and $L_{q}$ metrics.