• Article  

      Stochastic expansions in an overcomplete wavelet dictionary 

      Abramovich, F.; Sapatinas, Theofanis; Silverman, B. W. (2000)
      We consider random functions defined in terms of members of an overcomplete wavelet dictionary. The function is modelled as a sum of wavelet components at arbitrary positions and scales where the locations of the wavelet ...
    • Article  

      Wavelet thresholding via a Bayesian approach 

      Abramovich, F.; Sapatinas, Theofanis; Silverman, B. W. (1998)
      We discuss a Bayesian formalism which gives rise to a type of wavelet threshold estimation in nonparametric regression. A prior distribution is imposed on the wavelet coefficients of the unknown response function, designed ...