Pop-SAMC SAMC RJMCMC
k prob(%) SD prob(%) SD porb(%) SD
1 0.2792 0.1049 0.1991 0.0948 0.1810 0.0907
2 16.0970 1.9719 14.6317 4.8154 13.6790 2.5625
3 20.2100 3.2758 18.2059 4.2074 18.0265 3.3172
4 35.5714 4.0382 36.0330 8.9530 39.0120 5.0084
5 16.9414 1.1698 17.0727 2.1761 17.8005 1.7256
6 6.7641 0.8092 7.0985 1.9672 6.5390 0.9450
7 2.5384 0.4956 3.3053 1.9966 2.5420 1.4040
8 0.9915 0.2542 1.9386 2.0487 1.3045 2.6034
9 0.4478 0.1443 1.1381 1.4715 0.7115 2.1479
10 0.1591 0.0853 0.3770 0.4761 0.2045 0.7313
Table 4: Comparison of the estimated posterior distribution P(χk| y ) for the real large linear regression example. The number in the parentheses is the estimates of standard deviation (SD).