论文标题
一个自动程序来确定非参数回归曲线组
An automatic procedure to determine groups of nonparametric regression curves
论文作者
论文摘要
在许多情况下，确定是否可以分组非参数回归曲线可能很有趣，尤其是在面对相当数量的曲线时。提出的测试程序允许通过自动选择其数字来确定组。与现有替代程序相比，提出了一项仿真研究，以研究所提出方法的有限样本特性。最后，通过分析一组横截面来研究隧道的几何形状的程序的适用性。获得的结果表明，隧道几何形状中存在一些异质性。
In many situations it could be interesting to ascertain whether nonparametric regression curves can be grouped, especially when confronted with a considerable number of curves. The proposed testing procedure allows to determine groups with an automatic selection of their number. A simulation study is presented in order to investigate the finite sample properties of the proposed methods when compared to existing alternative procedures. Finally, the applicability of the procedure to study the geometry of a tunnel by analysing a set of cross-sections is demonstrated. The results obtained show the existence of some heterogeneity in the tunnel geometry.
