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. 2023 Feb 10;81:103342. doi: 10.1016/j.resourpol.2023.103342

Table 3.

Summary outcomes of best ARIMA models.

Appropriate model Coefficient estimate
Fitting model
Ljung Box-test
AR1 AR2 AR3 AR4 MA1 MA2 MA3 AIC BIC Q p-value
Pre COVID-19
Oil-ARIMA −0.440** 0.373** 0.114 −0.373** 0.775*** 369.1 381.57 4.4721 0.4836
Coal-ARIMA −0.801*** 1.400*** 0.1709 −0.427 382.56 392.95 8.197 0.224
Natural gas-ARIMA −0.624*** 0.941*** 361.85 368.08 4.842 0.774
Post COVID-19
Oil-ARIMA 0.251* 354.79 358.53 7.175 0.618
Coal-ARIMA −0.167** −0.038* 0.338** 335.44 342.92 9.063 0.248
Natural gas-ARIMA 0.326* 297.24 300.98 12.402 0.192

Asterisks *, **, and *** refer to the significance level at 10, 5, and 1%. Also, the Ljung-Box analysis was employed to evaluate the residuals of the best appropriate methods.

Source: Author's calculation.