统计学的新分支——样条函数方法

A NEW BRANCH OF STATISTICS——SMOOTHING SPLINE METHOD

样条函数是拟合曲线的良好工具,在统计学中应用极广。回归函数、密度函数等的样条估计具有优良的统计性质。本文以回归分析为重点,介绍了统计学中样条函数方法的主要内容和发展现状,并结合自己的研究,谈了一点体会和看法。

Spline function is a good tool for fitting curves. It has found its great applications in statistics. The spline estimates of regressive function, density function and so on have very good statistical properties. This artiele introduces the main results and ourrent situation of the smoothing spline method, which takes regressive analysis as a sample The authors also put forwards some suggestions and new ideas arising from applications in this field.