Table 6.
n | α (θ or ρ) | Maximum Likelihood Methods | Bayesian Models | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
⊥ model | α model | θ model | ρ model | ⊥ model | α model | θ model | ρ model | BMA* | |||
⊥ model | |||||||||||
5000 | — | 0.0706 | 0.1062 | 0.1415 | 0.0752 | 0.0726 | 0.1060 | 0.1394 | 0.0791 | 0.1204 | |
25000 | — | 0.0309 | 0.0473 | 0.0633 | 0.0329 | 0.0312 | 0.0476 | 0.0629 | 0.0332 | 0.0534 | |
α model | |||||||||||
5000 | 1.25 | 0.0592 | 0.1018 | 0.1333 | 0.0686 | 0.0607 | 0.1018 | 0.1308 | 0.0724 | 0.1149 | |
5000 | 3.00 | 0.0318 | 0.0920 | 0.1061 | 0.0500 | 0.0323 | 0.0923 | 0.1053 | 0.0527 | 0.1736 | |
25000 | 1.25 | 0.0260 | 0.0454 | 0.0596 | 0.0300 | 0.0262 | 0.0456 | 0.0592 | 0.0304 | 0.0604 | |
25000 | 3.00 | 0.0141 | 0.0412 | 0.0474 | 0.0220 | 0.0142 | 0.0414 | 0.0475 | 0.0223 | 0.1454 | |
θ model | |||||||||||
5000 | 1.25 | 0.0485 | 0.0888 | 0.1236 | 0.0569 | 0.0496 | 0.0890 | 0.1210 | 0.0597 | 0.1074 | |
5000 | 3.00 | 0.0141 | 0.0183 | 0.0736 | 0.0150 | 0.0142 | 0.0184 | 0.0729 | 0.0150 | 0.1622 | |
25000 | 1.25 | 0.0215 | 0.0397 | 0.0553 | 0.0251 | 0.0216 | 0.0400 | 0.0550 | 0.0253 | 0.0624 | |
25000 | 3.00 | 0.0063 | 0.0081 | 0.0329 | 0.0067 | 0.0063 | 0.0082 | 0.0326 | 0.0067 | 0.1450 | |
ρ model | |||||||||||
5000 | 0.20 | 0.0369 | 0.1392 | 0.1028 | 0.1121 | 0.0377 | 0.1383 | 0.1024 | 0.1267 | 0.2384 | |
5000 | 0.60 | 0.0163 | 0.2424 | 0.0727 | 0.2152 | 0.0163 | 0.2380 | 0.0721 | 0.2638 | 0.4371 | |
25000 | 0.20 | 0.0163 | 0.0624 | 0.0459 | 0.0475 | 0.0164 | 0.0624 | 0.0461 | 0.0488 | 0.2034 | |
25000 | 0.60 | 0.0073 | 0.1096 | 0.0325 | 0.0829 | 0.0073 | 0.1089 | 0.0324 | 0.0897 | 0.3685 |
BMA = Bayesian model average for the α, θ and ρ dependent models.