标题： 关于贝叶斯小波阈值的后验分布 显示英文标题

标题： On posterior distribution of Bayesian wavelet thresholding

摘要： 我们研究了利用贝叶斯方法在一般 Besov 空间中使用小波收缩的后验收敛速度。我们没有研究与特定损失函数相关的贝叶斯估计量，而是从非参数贝叶斯渐近的角度关注后验分布本身，并研究其收敛速度。我们得到了与\citet{abramovich04}中相同的速率，在那里作者研究了几种贝叶斯估计量的收敛性。 显示英文摘要

摘要： We investigate the posterior rate of convergence for wavelet shrinkage using a Bayesian approach in general Besov spaces. Instead of studying the Bayesian estimator related to a particular loss function, we focus on the posterior distribution itself from a nonparametric Bayesian asymptotics point of view and study its rate of convergence. We obtain the same rate as in \citet{abramovich04} where the authors studied the convergence of several Bayesian estimators.