Block thresholding for density estimation: local and global adaptivity
We consider wavelet block thresholding method for density estimation. A block-thresholded density estimator is proposed and is shown to achieve optimal global rate of convergence over Besov spaces and simultaneously attain the optimal adaptive pointwise convergence rate as well. These results are obtained in part through the determination of an optimal block length.
Year of publication: |
2005
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Authors: | Chicken, Eric ; Cai, T. Tony |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 95.2005, 1, p. 76-106
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Publisher: |
Elsevier |
Keywords: | Adaptive estimation Besov space Block thresholding Density estimation Hölder space |
Saved in:
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