Table 5.
Simulation summary of the estimated numbers of types
| SNR | 2 | 5 | 10 | ||||
|---|---|---|---|---|---|---|---|
| Mean | sd | Mean | sd | Mean | sd | ||
| +∞ | 3 | 2/3.4 | 0/1.0 | 5/3.1 | 0.3/0.3 | 8.9/3.5 | 1.9/1.3 |
| 4 | 2/3.8 | 0/1.5 | 5/3.3 | 0.3/1.2 | 8.9/3.7 | 2.2/2.0 | |
| 2 | 2/3.7 | 0/1.4 | 5/3.1 | 0.3/0.3 | 8.9/3.7 | 2.2/2.0 | |
| 1 | 2/3.6 | 0/1.4 | 5.1/3.0 | 0.5/0.2 | 8.5/3.8 | 1.9/2.0 | |
| +∞ | 6 | 2/6.4 | 0/0.8 | 5/6.4 | 0.5/0.7 | 9.8/6.6 | 1.2/1.2 |
| 4 | 2/6.4 | 0/0.6 | 5.2/6.6 | 0.8/0.9 | 9.5/6.4 | 1.3/0.6 | |
| 2 | 2/6.4 | 0/0.6 | 5.2/6.6 | 0.5/0.8 | 9.4/6.3 | 1.5/0.5 | |
| 1 | 2/6.3 | 0/0.6 | 5.0/6.6 | 0.5/0.8 | 9.4/6.2 | 1.1/0.5 | |
| +∞ | 9 | 2.4/8.4 | 1.5/1.5 | 5.1/8.9 | 1.7/0.8 | 8.7/9.2 | 1.8/0.8 |
| 4 | 2/8.2 | 0/1.7 | 5/9.8 | 0.4/1.1 | 8.8/9.2 | 1.8/0.6 | |
| 2 | 2.4/9.1 | 1.5/0.7 | 7.0/9.3 | 1.5/0.8 | 11.0/10.9 | 1.2/1.4 | |
| 1 | 2.5/9.0 | 1.1/1.1 | 6.9/8.7 | 1.8/0.9 | 9.7/10.8 | 1.7/1.8 | |
For example, the first entry 2/3.4 means when the true number of types is 2 for class 1, 3 for class 2 and SNR=+∞, the mean numbers of types our method chooses are 2 for class 1 and 3.4 for class 2