| 广州碳市场 | 湖北碳市场 | 北京碳市场 | 上海碳市场 | |||||
模型 参数 | m1 ARMA(1,1) -GARCH | m2 ARMA(1,1) -EGARCH | m3 ARMA(1,0) -GARCH | m4 ARMA(1,0) -EGARCH | m5 ARMA(1,1) -GARCH | m6 ARMA(1,1) -EGARCH | m7 ARMA(1,1) -GARCH | m8 ARMA(1,1)-EGARCH | |
ar1 | 0.08917 (0.3955) | 0.0972 (0.1245) | −0.1985*** (0.0000) | −0.1928*** (0.0000) | 0.5725*** (0.0000) | −0.7633*** (0.0000) | 0.1394 (0.1406) | 0.1931** (0.0034) | |
ma1 | −0.3809*** (0.0001) | −0.3867*** (0.0000) | / | / | −0.7996*** (0.0000) | 0.7240*** (0.0000) | −0.4523***(0.0000) | −0.5100*** (0.0000) | |
omega | 0.2413** (0.0026) | 0.1443*** (0.0007) | 0.4081** (0.0039) | 0.3782*** (0.0000) | 0.1214* (0.0164) | 0.1722* (0.0408) | 1.0570** (0.0010) | 0.4277*** (0.0002) | |
alpha1 | 0.4908*** (0.0000) | 0.6953*** (0.0000) | 1.0000*** (0.0000) | 1.2676*** (0.0000) | 1.0000*** (0.0000) | 0.8365*** (0.0001) | 1.0000*** (0.0000) | 1.4410*** (0.0000) | |
beta1 | 0.6443*** (0.0000) | 0.9191*** (0.0000) | 0.5111*** (0.0000) | 0.8481*** (0.0000) | 0.6223*** (0.0000) | 0.9641*** (0.0000) | 0.4226*** (0.0000) | 0.9010*** (0.0000) | |
gamma1 | / | 0.0356 (0.3517) | / | −0.0991 (0.1257) | / | −0.0507 (0.4265) | / | 0.5377** (0.0012) | |
skew | / | / | / | / | 0.7117*** (0.0000) | 0.8430*** (0.0000) | / | / | |
shape | 3.4777*** (0.0000) | 3.3844*** (0.0000) | 2.6559*** (0.0000) | 2.4192*** (0.0000) | 2.6607*** (0.0000) | 2.5122 (0.0000) | 2.5968*** (0.0000) | 2.1000*** (0.0000) | |
Q (20) | 0.260 | 0.257 | 0.740 | 0.762 | 0.599 | 0.275 | 0.110 | 0.553 | |
Q2 (20) | 0.412 | 0.680 | 0.601 | 0.796 | 0.987 | 0.989 | 0.738 | 0.999 | |
似然值 | −2939.1 | −2940.4 | −2885.8 | −2882.2 | −2594.7 | −2627.5 | −2237.9 | −2267.5 | |
AIC | 4.3089 | 4.3123 | 4.3050 | 4.3011 | 6.6285 | 6.7147 | 5.2245 | 5.2957 | |