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