Research Article
Bootstrap Order Determination for ARMA Models: A Comparison between Different Model Selection Criteria
Table 4
Frequency of selection of the true model in the nonbootstrap (
) and bootstrap (
) world, for different sample sizes.
| DGP | | SC | | | | | | | | | | | | |
| | | AIC | 59.2 | 72.0 | 71.5 | 80.5 | 79.1 | 84.3 | 81.8 | 85.5 | FPE | 56.2 | 65.6 | 68.5 | 76.1 | 75.4 | 80.2 | 78.5 | 82.3 | BIC | 65.5 | 79.7 | 78.7 | 89.8 | 87.3 | 93.8 | 92.6 | 95.5 | HQC | 63.3 | 77.2 | 76.4 | 85.3 | 86.6 | 91.2 | 91.5 | 93.4 |
| | | AIC | 52.5 | 61.2 | 65.7 | 73.6 | 74.3 | 80.3 | 79.6 | 82.8 | FPE | 51.4 | 59.1 | 66.0 | 71.5 | 72.9 | 78.7 | 75.5 | 80.4 | BIC | 57.3 | 67.5 | 72.4 | 79.7 | 80.7 | 84.6 | 85.2 | 87.1 | HQC | 50.8 | 63.5 | 67.4 | 74.2 | 76.3 | 79.4 | 81.5 | 83.7 |
| | | AIC | 45.3 | 55.7 | 60.5 | 69.3 | 70.2 | 75.6 | 73.7 | 77.2 | FPE | 42.5 | 54.1 | 57.0 | 64.9 | 64.4 | 70.1 | 67.6 | 71.7 | BIC | 53.1 | 65.8 | 67.3 | 77.6 | 76.5 | 83.1 | 82.7 | 84.9 | HQC | 50.7 | 65.4 | 67.5 | 75.6 | 76.0 | 80.6 | 81.3 | 83.1 |
| | | AIC | 47.8 | 58.1 | 61.2 | 68.4 | 68.3 | 72.6 | 69.7 | 73.7 | FPE | 44.2 | 53.8 | 56.5 | 62.7 | 64.7 | 68.6 | 66.6 | 70.8 | BIC | 51.9 | 64.2 | 65.3 | 71.8 | 72.5 | 76.6 | 74.7 | 77.5 | HQC | 49.7 | 62.3 | 66.4 | 75.0 | 73.3 | 79.4 | 78.0 | 80.6 |
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