Abstract
Consider the fixed-design nonparametric median regression model $Y_i=g(x_i)+e_i,\,i\geq 1$. For estimating the regression function $g(x)$ and its derivative, the nearest neighbor median estimators $\tilde{g}_{n,h}(x)$ are employed, where $h$ is the number of the nearest neighbors. Under mild regularity conditions, rates of convergence for the estimators are obtained.
Citation
Ying Yang. "NEAREST NEIGHBOR MEDIAN ESTIMATION OF REGRESSION FUNCTION AND ITS DERIVATIVES." Taiwanese J. Math. 2 (3) 313 - 319, 1998. https://doi.org/10.11650/twjm/1500406971
Information