Research Article
Bootstrap Order Determination for ARMA Models: A Comparison between Different Model Selection Criteria
Table 2
Frequency of selection of the true model in the nonbootstrap (
) and bootstrap (
) world for
.
| Model | Test | AIC | FPE | BIC | HQC | | | | | | | | |
| ARMA () (SET ) | | 42.3 | 52.4 | 41.5 | 50.2 | 52.4 | 62.7 | 47.7 | 60.2 | | 37.9 | 44.7 | 36.3 | 42.5 | 42.1 | 50.3 | 44.2 | 52.7 | | 36.3 | 42.4 | 32.7 | 38.1 | 38.4 | 45.4 | 42.0 | 49.3 | | 23.1 | 20.3 | 21.9 | 18.5 | 29.8 | 26.7 | 25.8 | 24.5 | | 31.2 | 38.3 | 26.1 | 32.5 | 39.9 | 48.8 | 43.1 | 52.3 |
| ARMA () (SET ) | | 49.0 | 59.6 | 47.1 | 55.5 | 59.2 | 71.3 | 52.4 | 65.5 | | 47.5 | 53.4 | 41.0 | 46.6 | 51.8 | 59.4 | 53.5 | 62.7 | | 42.0 | 47.2 | 39.2 | 43.6 | 46.0 | 53.5 | 47.6 | 55.6 | | 28.2 | 26.3 | 24.2 | 21.5 | 27.6 | 30.2 | 31.5 | 33.4 | | 38.3 | 44.1 | 34.3 | 39.4 | 43.5 | 51.8 | 45.9 | 57.0 |
| ARMA () (SET ) | | 47.5 | 57.9 | 43.6 | 53.2 | 55.4 | 67.0 | 48.5 | 61.3 | | 32.4 | 38.4 | 29.3 | 34.6 | 45.3 | 52.8 | 48.1 | 56.3 | | 31.6 | 36.7 | 28.1 | 32.4 | 34.7 | 41.3 | 38.5 | 45.7 | | 25.8 | 23.3 | 19.6 | 16.5 | 24.6 | 23.7 | 29.4 | 28.3 | | 35.1 | 41.4 | 32.2 | 37.6 | 46.4 | 54.2 | 44.7 | 54.4 |
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