Smoothing Splines
Smoothing Splines
复制标题
平滑样条线
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
G. Wahba
中科院分区：
文献类型：
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作者：
G. Wahba
·考虑的最常见情况是k = 3，即，三次样条函数这些是连续的分段三次函数，并且具有连续的一阶和二阶导数。注意，所有低阶导数的连续性使得样条非常光滑。一点统计学上的民间传说：据说三次样条是如此光滑，以至于人们无法用眼睛检测到它的节点的位置！
• The most common case considered is k = 3, i.e., that of cubic splines. These are piecewise cubic functions that are continuous, and have continuous first, and second derivatives. Note that the continuity in all of their lower order derivatives makes splines very smooth. A bit of statistical folklore: it is said that a cubic spline is so smooth, that one cannot detect the locations of its knots by eye!