Browsing by Subject "nonparametric regression"
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Article
Minimax goodness-of-fit testing in multivariate nonparametric regression
(2009)We consider an unknown response function f defined on Δ = [0, 1] d, 1 ≤ d ≤ ∞, taken at n random uniform design points and observed with Gaussian noise of known variance. Given a positive sequence r n → 0 as n → ∞ and a ...
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Article
Testing for additivity and joint effects in multivariate nonparametric regression using Fourier and wavelet methods
(2004)We consider the problem of testing for additivity and joint effects in multivariate nonparametric regression when the data are modelled as observations of an unknown response function observed on a d-dimensional (d ≥ 2) ...