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Block-threshold-adapted Estimators via a Maxiset Approach

Bibliographic reference Autin, Florent ; Freyermuth, Jean-Marc ; von Sachs, Rainer. Block-threshold-adapted Estimators via a Maxiset Approach. In: Scandinavian Journal of Statistics : theory and applications, Vol. 41, no.1, p. 240-258 (2014)
Permanent URL http://hdl.handle.net/2078.1/141145
  1. Abramovich Felix, Benjamini Yoav, Donoho David L., Johnstone Iain M., Adapting to unknown sparsity by controlling the false discovery rate, 10.1214/009053606000000074
  2. Antoniadis Anestis, Bigot Jérémie, Sapatinas Theofanis, Wavelet Estimators in Nonparametric Regression: A Comparative Simulation Study, 10.18637/jss.v006.i06
  3. Autin , F. 2004 Maxiset point of view in nonparametric estimation
  4. Autin Florent, Maxisets for μ-thresholding rules, 10.1007/s11749-006-0035-5
  5. Autin Florent, Freyermuth Jean-Marc, von Sachs Rainer, Ideal denoising within a family of tree-structured wavelet estimators, 10.1214/11-ejs628
  6. Autin F., Freyermuth J.-M., von Sachs R., Combining thresholding rules: a new way to improve the performance of wavelet estimators, 10.1080/10485252.2012.709854
  7. Autin, Math. Methods Statist., 15, 349 (2006)
  8. Cai , T. 1997 On adaptivity of Blockshrink wavelet estimator over Besov spaces http://www.stat.purdue.edu/research/technical_reports/pdfs/1997/tr97-05.pdf
  9. Cai T. Tony, inequality approach, 10.1214/aos/1018031262
  10. Cai, Statist. Sinica, 12, 1241 (2002)
  11. Cai T. Tony, On information pooling, adaptability and superefficiency in nonparametric function estimation, 10.1016/j.jmva.2006.11.010
  12. Cai, Sankhya, 63, 127 (2001)
  13. Chesneau Christophe, On the maxiset comparison between hard and block thresholding methods, 10.1016/j.spl.2007.09.030
  14. Cohen Albert, DeVore Ronald, Kerkyacharian Gerard, Picard Dominique, Maximal Spaces with Given Rate of Convergence for Thresholding Algorithms, 10.1006/acha.2000.0333
  15. Daubechies Ingrid, Ten Lectures on Wavelets, ISBN:9780898712742, 10.1137/1.9781611970104
  16. DONOHO DAVID L., JOHNSTONE JAIN M., Ideal spatial adaptation by wavelet shrinkage, 10.1093/biomet/81.3.425
  17. Donoho, J. Roy. Statist. Soc., Ser. B, 57, 301 (1995)
  18. Evers L., Heaton T. J., Locally Adaptive Tree-Based Thresholding, 10.1198/jcgs.2009.07109
  19. Hall Peter, Kerkyacharian Gérard, Picard Dominique, Block threshold rules for curve estimation using kernel and wavelet methods, 10.1214/aos/1024691082
  20. Hall, Statist. Sinica, 9, 33 (1999)
  21. Härdle Wolfgang, Kerkyacharian Gerard, Picard Dominique, Tsybakov Alexander, Wavelets, Approximation, and Statistical Applications, ISBN:9780387984537, 10.1007/978-1-4612-2222-4
  22. Heaton T. J., Adaptive thresholding of sequences with locally variable strength, 10.1007/s11222-008-9071-1
  23. Kerkycharian, Bernoulli, 8, 219 (2002)
  24. Statistical Modeling by Wavelets, ISBN:9780470317020, 10.1002/9780470317020