Bayesian Wavelet Regression on Curves With Application to a Spectroscopic Calibration Problem

@inproceedings{Brown2001BayesianWR,
  title={Bayesian Wavelet Regression on Curves With Application to a Spectroscopic Calibration Problem},
  author={Philip. J. Brown},
  year={2001}
}
Motivated by calibration problems in near-infrared (NIR) spectroscopy, we consider the linear regression setting in which the many predictor variables arise from sampling an essentially continuous curve at equally spaced points and there may be multiple predictands. We tackle this regression problem by calculating the wavelet transforms of the discretized curves, then applying a Bayesian variable selection method using mixture priors to the multivariate regression of predictands on wavelet coef… CONTINUE READING
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Measurement, Regression, and Calibration, Oxford, U.K.

  • P. J. Brown
  • 1993
Highly Influential
8 Excerpts

Covariance Structure of Wavelet CoefŽ cients: Theory and Models in a Bayesian Perspective,

  • M. Vannucci, F. Corradi
  • Journal of the Royal Statistical Society, Ser. B,
  • 1999
Highly Influential
2 Excerpts

Wavbox 4: A Software Toolbox for Wavelet Transforms and Adaptive Wavelet Packet Decompositions,

  • C. Taswell
  • Wavelets and Statistics,
  • 1995
Highly Influential
1 Excerpt

Some Matrix-Variate Distribution Theory: Notational Considerations and a Bayesian Application,

  • A. P. Dawid
  • Biometrika
  • 1981
Highly Influential
3 Excerpts

The Estimation of Probabilities

  • I. J. Good
  • An Essay on Modern Bayesian Methods,
  • 1965
Highly Influential
3 Excerpts

PLS Regression on Wavelet-Compressed NIR Spectra,

  • J. Trygg, S. Wold
  • Chemometrics and Intelligent Laboratory Systems,
  • 1998
2 Excerpts

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