From functional data to smooth functions

Chapter
Part of the Springer Series in Statistics book series (SSS)

Keywords

Basis Function Fourier Series Discrete Wavelet Transform Basis System Functional Data 
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3.8 Further reading and notes

  1. Chui, C. K. (1992) An Introduction to Wavelets. San Diego: Academic Press.Google Scholar
  2. Daubechies, I. (1992) Ten Lectures on Wavelets. CBMS-NSF Series in Applied Mathematics, 61. Philadelphia: Society for Industrial and Applied Mathematics.Google Scholar
  3. de Boor, C. (2001) A Practical Guide to Splines. Revised Edition. New York: Springer.Google Scholar
  4. Donoho, D. L., Johnstone, I. M., Kerkyacharian, G. and Picard, D. (1995) Wavelet shrinkage: asymptopia? (with discussion). Journal of the Royal Statistical Society, Series B, 57, 301–369.MathSciNetGoogle Scholar
  5. Eubank, R. L. (1999) Spline Smoothing and Nonparametric Regression, Second Edition. New York: Marcel Dekker.Google Scholar
  6. Green, P. J. and Silverman, B. W. (1994) Nonparametric Regression and Generalized Linear Models: A Roughness Penalty Approach. London: Chapman and Hall.Google Scholar
  7. Johnstone, I. M. and Silverman, B. W. (1997) Wavelet threshold estimators for data with correlated noise. Journal of the Royal Statistical Society, Series B, 59, 319–351.MathSciNetCrossRefGoogle Scholar
  8. Nason, G. P. and Silverman, B. W. (1994) The discrete wavelet transform in S. Journal of Computational and Graphical Statistics, 3, 163–191.CrossRefGoogle Scholar
  9. Schumaker, L. (1981) Spline Functions: Basic Theory. New York: Wiley.Google Scholar
  10. Silverman, B. W. (1999) Wavelets in statistics: Beyond the standard assumptions. Philosophical Transactions of the Royal Society of London, Series A. 357, 2459–2473.MATHCrossRefGoogle Scholar
  11. Silverman, B. W. and Vassilicos, J. C. (1999) Wavelets: The key to intermittent information? Philosophical Transactions of the Royal Society of London, Series A. 357, 2393–2395.CrossRefGoogle Scholar
  12. Simonoff, J. S. (1996) Smoothing Methods in Statistics. New York: Springer.Google Scholar
  13. Wahba, G. (1990) Spline Models for Observational Data. Philadelphia: Society for Industrial and Applied Mathematics.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

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