• Article  

      Minimax goodness-of-fit testing in multivariate nonparametric regression 

      Ingster, Y. I.; Sapatinas, Theofanis (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 ...