Optimal convergence rates of Bayesian wavelet estimation with a novel empirical prior in nonparametric regression model-Reference-Cited by-同舟云学术

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Optimal convergence rates of Bayesian wavelet estimation with a novel empirical prior in nonparametric regression model

Published:2022-05-04 Issue:3 Volume:56 Page:565-577
ISSN:0233-1888
Container-title:Statistics
language:en
Short-container-title:Statistics

Author:

Yu Yuncai¹²,Liu Ling³,Wu Peng⁴,Liu Xinsheng²^ORCID

Affiliation:

1. School of Economics and Statistics, Guangzhou University, Guangzhou, People's Republic of China

2. State Key Laboratory of Mechanics and Control of Mechanical Structures, Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China

3. School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, People's Republic of China

4. School of Data Science, Zhejiang University of Finance and Economics, Hangzhou, People's Republic of China

Funder

Natural Science Foundation of China

Postdoctoral Research Fund project of Guangzhou

Postgraduate Research & Practice Innovation Program of Jiangsu Province

Publisher

Informa UK Limited

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Link

https://www.tandfonline.com/doi/pdf/10.1080/02331888.2022.2075363

Reference33 articles.

1. Wavelet thresholding via a Bayesian approach

2. On Optimality of Bayesian Wavelet Estimators

3. Frequentist optimality of Bayesian wavelet shrinkage rules for Gaussian and non-Gaussian noise

4. On posterior distribution of Bayesian wavelet thresholding

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