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Table 2
Performance of density estimators: simulated and MSG datasets.
| Integrated squared error | Generalized Kullback-Leibler divergence | |||||||
| Dataset | MBE | DEDICA | DTFE | kNN | MBE | DEDICA | DTFE | kNN |
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| 1 | 2.23 × 10-7 | 6.44 × 10-6 | 1.54 × 10-5 | 2.82 × 10-5 | 5.61 × 10-2 | 7.62 × 10-2 | 1.83 × 10-1 | 1.59 × 10-1 |
| 2 | 3.04 × 10-6 | 1.75 × 10-6 | 5.85 × 10-5 | 1.19 × 10-4 | 4.53 × 10-2 | 8.34 × 10-2 | 1.90 × 10-1 | 1.62 × 10-1 |
| 3 | 4.74 × 10-6 | 9.10 × 10-6 | 1.99 × 10-4 | 4.28 × 10-4 | 3.90 × 10-2 | 6.77 × 10-2 | 1.62 × 10-1 | 1.54 × 10-1 |
| 4 | 2.35 × 10-6 | 2.91 × 10-4 | 1.12 × 10-5 | 2.02 × 10-5 | 6.22 × 10-2 | 1.33 × 10 + 1 | 2.34 × 10-1 | 1.79 × 10-1 |
| 5 | 5.65 × 10-7 | 5.38 × 10-7 | 1.31 × 10-6 | 2.13 × 10-6 | 1.01 × 10-1 | 9.12 × 10-2 | 2.42 × 10-1 | 2.12 × 10-1 |
| 6 | 7.66 × 10-4 | 7.94 × 10-5 | 1.96 × 10-3 | 3.71 × 10-3 | 3.21 × 10-1 | 6.32 × 10-2 | 1.07 × 10-1 | 1.43 × 10-1 |
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| MSG-DTFE | 1.68 × 10-3 | 4.86 × 10-3 | 1.24 × 10-3 | 1.39 × 10-3 | 6.50 × 10-1 | 2.18 × 10 + 1 | 5.74 × 10-1 | 5.73 × 10-1 |
| MSG-MBE | 6.89 × 10-7 | 5.88 × 10-4 | 1.95 × 10-1 | 1.71 × 10-4 | 3.00 × 10-2 | 2.26 × 10 + 1 | 1.25 × 100 | 3.08 × 10-1 |
Notes. Entries highlighted in boldface represent the smallest ISE or gKLD value and therefore the “best” method for that dataset under that performance metric.
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