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Ideal denoising within a family of tree-structured wavelet estimators

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  • Autin, F.
  • Freyermuth, Jean-Marc
  • von Sachs, Rainer

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  • Autin, F. & Freyermuth, Jean-Marc & von Sachs, Rainer, 2011. "Ideal denoising within a family of tree-structured wavelet estimators," LIDAM Discussion Papers ISBA 2011002, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    • Handle: RePEc:aiz:louvad:2011002
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    References listed on IDEAS

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    1. Antoniadis, Anestis & Bigot, Jeremie & Sapatinas, Theofanis, 2001. "Wavelet Estimators in Nonparametric Regression: A Comparative Simulation Study," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 6(i06).
    2. Florent Autin, 2008. "Maxisets for μ-thresholding rules," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 332-349, August.
    3. Freyermuth, Jean-Marc & Ombao, Hernando & von Sachs, Rainer, 2010. "Tree-Structured Wavelet Estimation in a Mixed Effects Model for Spectra of Replicated Time Series," Journal of the American Statistical Association, American Statistical Association, vol. 105(490), pages 634-646.
    4. Freyermuth, Jean-Marc & Ombao, Hernando & von Sachs, Rainer, 2010. "Tree-structured wavelet estimation in a mixed effects model for Spectra of replicated time series," LIDAM Reprints ISBA 2010020, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    5. Engel, J., 1994. "A Simple Wavelet Approach to Nonparametric Regression from Recursive Partitioning Schemes," Journal of Multivariate Analysis, Elsevier, vol. 49(2), pages 242-254, May.
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    Cited by:

    1. Autin, Florent & Freyermuth, Jean-Marc & von Sachs, Rainer, 2011. "Combining thresholding rules: a new way to improve the performance of wavelet estimators," LIDAM Discussion Papers ISBA 2011021, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    2. F. Autin & J.-M. Freyermuth & R. von Sachs, 2012. "Combining thresholding rules: a new way to improve the performance of wavelet estimators," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 24(4), pages 905-922, December.
    3. Reményi, Norbert & Vidakovic, Brani, 2013. "Λ-neighborhood wavelet shrinkage," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 404-416.
    4. Autin, Florent & Freyermuth, Jean-Marc & von Sachs, Rainer, 2011. "Block-Threshold-Adapted Estimators via a maxiset approach," LIDAM Discussion Papers ISBA 2011017, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

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