平滑的
稳健回归
多项式回归
数学
回归
回归分析
多项式的
统计
价值(数学)
最小二乘函数近似
线性回归
算法
应用数学
计算机科学
数学分析
估计员
标识
DOI:10.1080/01621459.1979.10481038
摘要
Abstract The visual information on a scatterplot can be greatly enhanced, with little additional cost, by computing and plotting smoothed points. Robust locally weighted regression is a method for smoothing a scatterplot, (x i , y i ), i = 1, …, n, in which the fitted value at z k is the value of a polynomial fit to the data using weighted least squares, where the weight for (x i , y i ) is large if x i is close to x k and small if it is not. A robust fitting procedure is used that guards against deviant points distorting the smoothed points. Visual, computational, and statistical issues of robust locally weighted regression are discussed. Several examples, including data on lead intoxication, are used to illustrate the methodology.
科研通智能强力驱动
Strongly Powered by AbleSci AI