Methodology and Convergence Rates for Functional Linear Regression

  title={Methodology and Convergence Rates for Functional Linear Regression},
  author={Peter W. Hall and Joel L. Horowitz},
In functional linear regression, the slope “parameter” is a function. Therefore, in a nonparametric context, it is determined by an infinite number of unknowns. Its estimation involves solving an illposed problem and has points of contact with a range of methodologies, including statistical smoothing and deconvolution. The standard approach to estimating the slope function is based explicitly on functional principal components analysis and, consequently, on spectral decomposition in terms of… CONTINUE READING
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