SFB 303 Discussion Paper No. A - 112

Author: Härdle, Wolfgang
Title: Sequential Kernel Smoothing for Estimation of Zeros and Location of Extrema of Regression Functions
Abstract: An enumeration of zeros and of locations of extrema often suffices to describe the approximate shape of regression functions. The estimation of these quantities is not only quantifying the shape of the functions but also offers the possibility of comparing shapes in a group of similar shaped functions. An illustrating example is the human height growth curve, where location and size of a peak in the second derivative of this regression curve serve to describe the so-called midgrowth spurt, see Müller (1985). Such "longitudinal parameters", as they have been called by Gasser et al. (1984), can be used for group comparisons.
Creation-Date: May 1987
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