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Model selection and estimation of a component in additive regression

Xavier Gendre — 2014

ESAIM: Probability and Statistics

Let  ∈ ℝ be a random vector with mean and covariance matrix where is some known  × -matrix. We construct a statistical procedure to estimate as well as under moment condition on or Gaussian hypothesis. Both cases are developed for known or unknown . Our approach is free from any prior assumption on and is based on non-asymptotic model selection methods. Given some...

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