Browsing by Subject "Block thresholding"

Now showing items 1-4 of 4

    • Article  

      Empirical Bayes approach to block wavelet function estimation 

      Abramovich, F.; Besbeas, P.; Sapatinas, Theofanis (2002)
      Wavelet methods have demonstrated considerable success in function estimation through term-by-term thresholding of the empirical wavelet coefficients. However, it has been shown that grouping the empirical wavelet coefficients ...
    • Article  

      Functional deconvolution in a periodic setting: Uniform case 

      Pensky, M.; Sapatinas, Theofanis (2009)
      We extend deconvolution in a periodic setting to deal with functional data. The resulting functional deconvolution model can be viewed as a generalization of a multitude of inverse problems in mathematical physics where ...
    • Article  

      Multichannel deconvolution with long-range dependence: A minimax study 

      Benhaddou, R.; Kulik, R.; Pensky, M.; Sapatinas, Theofanis (2014)
      We consider the problem of estimating the unknown response function in the multichannel deconvolution model with long-range dependent Gaussian or sub-Gaussian errors. We do not limit our consideration to a specific type ...
    • Article  

      On convergence rates equivalency and sampling strategies in functional deconvolution models 

      Pensky, M.; Sapatinas, Theofanis (2010)
      Using the asymptotical minimax framework, we examine convergence rates equivalency between a continuous functional deconvolution model and its real-life discrete counterpart over a wide range of Besov balls and for the ...