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. Author manuscript; available in PMC: 2014 Feb 1.
Published in final edited form as: Ann Inst Stat Math. 2013 Jun 16;66(1):1–31. doi: 10.1007/s10463-013-0415-z

Table 3.

Simulation results under heteroscedastic residuals (Case (v))

n=40 MSPE cov(y) MISE cov(η) L
P1 0.6666 0.9800 0.5856 1 0.0033
P2a 0.5233 0.9770 0.3980 0.9812 0.0025
P2b 0.5231 0.9854 0.3745 0.9765 0.0019
P2c 0.5875 0.9850 0.4452 1 0.0029
P2d 0.5788 0.9859 0.4223 1 0.0028
M-Estimation 0.5531 0.3671
BART 0.4956 0.8980
Treed GP 0.7224 0.8123 0.6132

n=60 MSPE cov(y) MISE cov(η) L

P1 0.3828 1 0.2911 0.9985 0.0031
P2a 0.3745 0.9832 0.2617 0.9840 0.0022
P2b 0.3767 0.9812 0.2601 0.9867 0.0020
P2c 0.3810 0.9900 0.2800 0.9998 0.0027
P2d 0.3800 0.9906 0.2798 0.9998 0.0026
M-Estimation 0.3939 0.2824
BART 0.3930 0.9313 0.2668
Treed GP 0.4225 0.9023 0.3217

n=80 MSPE cov(y) MISE cov(η) L

P1 0.3599 0.9901 0.2759 0.9998 0.0029
P2a 0.3503 0.9762 0.2582 0.9765 0.0022
P2b 0.3519 0.9712 0.2545 0.9715 0.0019
P2c 0.3560 0.9856 0.2656 0.9885 0.0025
P2d 0.3557 0.9800 0.2677 0.9881 0.0024
M-Estimation 0.3905 0.2887
BART 0.3594 0.9442 0.2867
Treed GP 0.4489 0.9125 0.3509