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From functional data to smooth functions

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Functional Data Analysis

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3.8 Further reading and notes

  • Chui, C. K. (1992) An Introduction to Wavelets. San Diego: Academic Press.

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  • Daubechies, I. (1992) Ten Lectures on Wavelets. CBMS-NSF Series in Applied Mathematics, 61. Philadelphia: Society for Industrial and Applied Mathematics.

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  • de Boor, C. (2001) A Practical Guide to Splines. Revised Edition. New York: Springer.

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  • 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.

    MathSciNet  Google Scholar 

  • Eubank, R. L. (1999) Spline Smoothing and Nonparametric Regression, Second Edition. New York: Marcel Dekker.

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  • Green, P. J. and Silverman, B. W. (1994) Nonparametric Regression and Generalized Linear Models: A Roughness Penalty Approach. London: Chapman and Hall.

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  • 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.

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  • Nason, G. P. and Silverman, B. W. (1994) The discrete wavelet transform in S. Journal of Computational and Graphical Statistics, 3, 163–191.

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  • Schumaker, L. (1981) Spline Functions: Basic Theory. New York: Wiley.

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  • Silverman, B. W. (1999) Wavelets in statistics: Beyond the standard assumptions. Philosophical Transactions of the Royal Society of London, Series A. 357, 2459–2473.

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  • 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.

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  • Simonoff, J. S. (1996) Smoothing Methods in Statistics. New York: Springer.

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  • Wahba, G. (1990) Spline Models for Observational Data. Philadelphia: Society for Industrial and Applied Mathematics.

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(2005). From functional data to smooth functions. In: Functional Data Analysis. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/0-387-22751-2_3

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