Gach, Florian; Nickl, Richard; Spokoiny, Vladimir - Sonderforschungsbereich 649: Ökonomisches Risiko, … - 2011
Given a random sample from some unknown density f0 : R → [0;∞) we devise Haar wavelet estimators for f0 with variable resolution levels constructed from localised test procedures (as in Lepski, Mammen, and Spokoiny (1997, Ann. Statist.)). We show that these estimators adapt to spatially...