Browsing by Subject "minimax testing"

Now showing items 1-2 of 2

    • 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 ...
    • Article  

      Minimax nonparametric testing in a problem related to the radon transform 

      Ingster, Y. I.; Sapatinas, Theofanis; Suslina, I. A. (2011)
      We consider the detection problem of a two-dimensional function from noisy observations of its integrals over lines. We study both rate and sharp asymptotics for the error probabilities in the minimax setup. By construction, ...