研究文章

比较先进的预测性能统计和机器学习技术使用巨大的大数据:证据来自蒙特卡洛实验

表1

比较受到蒙特卡罗模拟的多重共线性预测(方案1)。

模型 ρ= 0.25, = 50 ρ= 0.25, = 70

n= 100/200/400 RMSE RMSE
MCP 1.123 / 1.055/1.027 0.908 / 0.848/0.821 1.205 /1.069/1.031 0.971 /0.858/0.825
E-SCAD 1.135 / 1.066/1.034 0.917 / 0.856/0.827 1.195 /1.086/1.040 0.961/ 0.872/0.831
Autometrics 1.316 / 1.091/1.027 1.065 / 0.874/0.822 1.316 / 1.091/1.042 1.065 / 0.874/0.834
FM_PCA 3.517 / 3.210/2.829 2.839 / 2.576/2.260 4.493 / 4.305/3.966 3.623 / 3.458/3.173
FM_PLS 1.528 / 1.200/1.090 1.235 / 0.963/0.871 1.921 / 1.321/1.126 1.551 / 1.059/0.901

n= 100/200/400 ρ= 0.5, = 50 ρ= 0.5, = 70
MCP 1.145 /1.056/1.027 0.925 /0.848/0.821 1.318 /1.069/1.032 1.062 /0.858/0.825
E-SCAD 1.112/ 1.058/1.030 0.898/ 0.849/0.824 1.168/ 1.074/1.035 0.940/ 0.862/0.827
Autometrics 1.156 / 1.062/1.027 0.931 / 0.853/0.821 1.473 / 1.091/1.041 1.191 / 0.874/0.833
FM_PCA 2.583 / 2.053/1.705 2.088 / 1.644/1.365 3.933 / 3.334/2.700 3.174 / 2.677/2.164
FM_PLS 1.368 / 1.161/1.080 1.105 / 0.932/0.864 1.595 / 1.248/1.108 1.287 / 1.001/0.886

n= 100/200/400 ρ= 0.9, = 50 ρ= 0.9, = 70
MCP 1.484 / 1.157/1.042 1.198 / 0.930/0.832 1.764 / 1.261/1.058 1.424 / 1.013/0.846
E-SCAD 1.201 /1.060/1.019 0.968 /0.851/0.814 1.291 /1.080/1.021 1.040 /0.867/0.817
Autometrics 4.363 / 1.795/1.031 3.528 / 1.443/0.825 6.589 / 2.501/1.053 5.333 / 2.006/0.843
FM_PCA 1.169 / 1.099/1.075 0.943 / 0.883/0.859 1.318 / 1.212/1.165 1.065 / 0.974/0.932
FM_PLS 1.138/ 1.078/1.043 0.919/ 0.865/0.834 1.184/ 1.095/1.053 0.959/ 0.880/0.842

请注意。大胆的值表示一个更好的预测。