TABLE 1.
Scale free case (a) with M = p/2: summary statistics on the models of Akaike information criterion (AIC)-selected λ1 and λ2
Pd | Method | λ3/n | b | Θ | ||||||
---|---|---|---|---|---|---|---|---|---|---|
Angle | NR | TPR | FPR | ER | TPR | FPR | MCC | |||
0 | JMG | - | - | - | - | - | 1.41 | 0.82 | 0.16 | 0.25 |
- | - | - | - | (0.07) | (0.03) | (0.01) | (0.01) | |||
Proposed | 0 | 5.47 | 1.00 | 1.00 | 0.30 | 0.98 | 0.86 | 0.11 | 0.32 | |
(0.41) | (0.03) | 0.00 | (0.04) | (0.05) | (0.02) | (0.00) | (0.01) | |||
0.01 | 5.36 | 1.00 | 1.00 | 0.30 | 0.67 | 0.86 | 0.08 | 0.36 | ||
(0.38) | (0.03) | 0.00 | (0.05) | (0.06) | (0.03) | (0.01) | (0.03) | |||
0.05 | 4.99 | 1.00 | 1.00 | 0.30 | 0.34 | 0.83 | 0.05 | 0.44 | ||
(0.34) | (0.03) | 0.00 | (0.04) | (0.02) | (0.03) | (0.00) | (0.02) | |||
0.1 | 4.64 | 1.00 | 1.00 | 0.31 | 0.28 | 0.78 | 0.02 | 0.56 | ||
(0.33) | (0.03) | 0.00 | (0.04) | (0.02) | (0.03) | (0.00) | (0.02) | |||
0.1 | JMG | - | - | - | - | - | 1.26 | 0.80 | 0.14 | 0.26 |
- | - | - | - | (0.05) | (0.02) | (0.00) | (0.01) | |||
Proposed | 0 | 5.31 | 0.99 | 1.00 | 0.29 | 0.94 | 0.85 | 0.11 | 0.33 | |
(0.30) | (0.02) | 0.00 | (0.06) | (0.04) | (0.02) | (0.00) | (0.01) | |||
0.01 | 5.21 | 0.99 | 1.00 | 0.28 | 0.64 | 0.84 | 0.08 | 0.37 | ||
(0.30) | (0.02) | 0.00 | (0.06) | (0.03) | (0.02) | (0.00) | (0.01) | |||
0.05 | 4.86 | 0.99 | 1.00 | 0.29 | 0.37 | 0.82 | 0.05 | 0.44 | ||
(0.28) | (0.02) | 0.00 | (0.06) | (0.02) | (0.03) | (0.00) | (0.02) | |||
0.1 | 4.51 | 0.99 | 1.00 | 0.28 | 0.31 | 0.75 | 0.02 | 0.55 | ||
(0.28) | (0.03) | 0.00 | (0.05) | (0.01) | (0.03) | (0.00) | (0.02) | |||
0.3 | JMG | - | - | - | - | - | 1.31 | 0.79 | 0.16 | 0.26 |
- | - | - | - | (0.05) | (0.02) | (0.01) | (0.01) | |||
Proposed | 0 | 5.33 | 0.98 | 1.00 | 0.29 | 0.92 | 0.81 | 0.10 | 0.33 | |
(0.26) | (0.03) | 0.00 | (0.04) | (0.04) | (0.02) | (0.00) | (0.01) | |||
0.01 | 5.23 | 0.98 | 1.00 | 0.29 | 0.74 | 0.82 | 0.10 | 0.35 | ||
(0.27) | (0.03) | 0.00 | (0.04) | (0.07) | (0.02) | (0.01) | (0.02) | |||
0.05 | 4.86 | 0.98 | 1.00 | 0.30 | 0.40 | 0.77 | 0.05 | 0.44 | ||
(0.30) | (0.03) | 0.00 | (0.04) | (0.02) | (0.03) | (0.00) | (0.02) | |||
0.1 | 4.50 | 0.98 | 1.00 | 0.30 | 0.35 | 0.70 | 0.02 | 0.54 | ||
(0.34) | (0.03) | 0.00 | (0.05) | (0.02) | (0.02) | (0.00) | (0.02) | |||
0.5 | JMG | - | - | - | - | - | 1.21 | 0.79 | 0.16 | 0.27 |
- | - | - | - | (0.03) | (0.02) | (0.00) | (0.01) | |||
Proposed | 0 | 5.26 | 0.99 | 1.00 | 0.29 | 0.85 | 0.82 | 0.11 | 0.34 | |
(0.33) | (0.02) | 0.00 | (0.04) | (0.04) | (0.02) | (0.00) | (0.02) | |||
0.01 | 5.16 | 0.99 | 1.00 | 0.29 | 0.64 | 0.81 | 0.09 | 0.37 | ||
(0.32) | (0.02) | 0.00 | (0.04) | (0.10) | (0.03) | (0.02) | (0.03) | |||
0.05 | 4.84 | 0.99 | 1.00 | 0.29 | 0.39 | 0.78 | 0.05 | 0.45 | ||
(0.28) | (0.02) | 0.00 | (0.04) | (0.02) | (0.03) | (0.00) | (0.02) | |||
0.1 | 4.48 | 0.99 | 1.00 | 0.29 | 0.36 | 0.70 | 0.02 | 0.56 | ||
(0.23) | (0.03) | 0.00 | (0.03) | (0.02) | (0.03) | (0.00) | (0.03) |
Abbreviations: ER, estimation error; FPR, false positive rate; MCC, Matthews correlation coefficient; NR, the mean ratio of ); TPR, true positive rate.