bias correction;
mean-squared prediction error;
random forests;
regression;
simulation;
D O I:
10.1080/02664763.2011.578621
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
It is well known that random forests reduce the variance of the regression predictors compared to a single tree, while leaving the bias unchanged. In many situations, the dominating component in the risk turns out to be the squared bias, which leads to the necessity of bias correction. In this paper, random forests are used to estimate the regression function. Five different methods for estimating bias are proposed and discussed. Simulated and real data are used to study the performance of these methods. Our proposed methods are significantly effective in reducing bias in regression context.
机构:
Univ Paris 06, LSTA, F-75252 Paris 05, France
Univ Paris 06, LPMA, F-75252 Paris 05, France
Ecole Normale Super, DMA, F-75230 Paris 05, FranceUniv Paris 06, LSTA, F-75252 Paris 05, France
Biau, Gerard
Devroye, Luc
论文数: 0引用数: 0
h-index: 0
机构:
McGill Univ, Sch Comp Sci, Montreal, PQ H3A 2K6, CanadaUniv Paris 06, LSTA, F-75252 Paris 05, France
机构:
Univ Paris 06, LSTA, F-75252 Paris 05, France
Univ Paris 06, LPMA, F-75252 Paris 05, France
Ecole Normale Super, DMA, F-75230 Paris 05, FranceUniv Paris 06, LSTA, F-75252 Paris 05, France
Biau, Gerard
Devroye, Luc
论文数: 0引用数: 0
h-index: 0
机构:
McGill Univ, Sch Comp Sci, Montreal, PQ H3A 2K6, CanadaUniv Paris 06, LSTA, F-75252 Paris 05, France