Norm Thresholding Method in Wavelet Regression

References

• Abramovich , F. , Sapatinas , T. and Silverman , B. W. 1998 . Wavelet thresholding via a Bayesian approach. Journal of Royal Statistical Society . Series B , 60 : 725 – 749 .
   Google Scholar
• Brace , A. and Gao , H. 1996a . Applied Wavelet Analysis with. S-Plus , Springer .
   Google Scholar
• Brace , A. and Gao , H. 1996b . Understanding waveshrink: Variance and bias estimation . Biometrika , 83 : 727 – 745 .
   Web of Science ®Google Scholar
• Cai , T. 1999 . Adaptive wavelet estimation: A block thresholding and oracle inequality approach . Annals of Statistics , 27 : 898 – 924 .
   Web of Science ®Google Scholar
• Chipman , H. , Kolaczyk , E. and McCulloch , R. 1997 . Adaptive Bayesian wavelet shrinkage . JASA , 91 : 1413 – 1421 .
   Google Scholar
• Chung , K. L. 1974 . A Course in Probability Theory. , 2nd ed. , New York , NY : Academic Press .
   Google Scholar
• Clyde , M. , Parmigiani , G. and Vidakovic , B. 1998 . Multiple shrinkage and subset selection in wavelets . Biometrika , 85 : 391 – 401 .
   Web of Science ®Google Scholar
• Daubechies , I. 1992 . Ten Lectures on Wavelets , Philadelphia : Society for Industrial and Applied Mathematics .
   Google Scholar
• Daubechies , I. 1994 . Different Perspectives on Wavelets . Applied Mathematics Society ,
   Google Scholar
• DonU+022Fho , D. L. and Johnstone , I. M. 1995 . Adapting to unknown smoothness via wavelet shrinkage . Journal of the American Statistical Association , 90 (432) : 1200 – 1224 .
   Web of Science ®Google Scholar
• Donoho , D. L. and Johnstone , I. M. 1998 . Minimax estimation via wavelet shrinkage . The Amah of Statistics , 26 : 879 – 921 .
   Web of Science ®Google Scholar
• Gao , H. 1998 . Wavelet shrinkage denoising using the non-negative garrote . Journal of Computational and Graphical Statistics , 7 : 469 – 488 .
   Web of Science ®Google Scholar
• Johnstone , I. M. and Sitverman , B. W. 1997 . Wavelet threshold estimators for data with correlated noise . Journal of Royal Statistical Society, Series B , 59 : 319 – 351 .
   Google Scholar
• Mallat , S. G. 1989 . A theory for multiresolution signal decomposition: The wavelet representation . IEEE Transactions on Pattern Analysis and Machine Intelligence , 11 (7) : 674 – 693 .
   Web of Science ®Google Scholar
• Nason , G. R and Silverman , B. W. 1994 . The discrete wavelet transform in S . Journal of Computational and Graphical statistics , 3 : 163 – 191 .
   Google Scholar
• Nason , G. P. 1994 . Wavelet regression by cross-validation , Techinical Report 447
   Google Scholar
• Nason , G. R . 1995 . “ Choice of the threshold parameter in wavelet function estimation ” . In Wavelets and Statistics, Lecture Notes in Statistics , Vol. VoI. 103 , 261 – 280 . New York : Springer-Verlag .
   Google Scholar
• Strang , G. 1993 . Wavelet transforms versus Fourier transforms . Bulletin (New Series) of the American Mathematical Society , 28 (2) : 288 – 305 .
   Web of Science ®Google Scholar