Härdle, Wolfgang K.; Song, Song - In: Econometric Theory 26 (2010) 04, pp. 1180-1200
Let (<italic>X</italic><sub>1</sub>, <italic>Y</italic><sub>1</sub>), …, (<italic>X</italic>, <italic>Y</italic>) be independent and identically distributed random variables and let <italic>l</italic>(<italic>x</italic>) be the unknown <italic>p</italic>-quantile regression curve of <italic>Y</italic> conditional on <italic>X</italic>. A quantile smoother <italic>l</italic>(<italic>x</italic>) is a localized, nonlinear estimator of <italic>l</italic>(<italic>x</italic>). The strong uniform consistency rate is established under...