研究文章

混合方法集成多个ICEEMDANs, WOA RVFL网络经济和金融时间序列预测

表6

结果Diebold-Mariano (DM)测试。

数据集 地平线 测试模型 ICEEMDAN-LSSVR ICEEMDAN-BPNN ICEEMDAN-RW LSSVR 摘要利用 RW

西德克萨斯中质原油 1 MICEEMDAN-WOA-RVFL −4.9081 (≤0.0001) −7.0030 (≤0.0001) −6.1452 (≤0.0001) −10.7240 (≤0.0001) −10.3980 (≤0.0001) −10.6210 (≤0.0001)
ICEEMDAN-LSSVR −3.5925 (0.0003) −6.0620 (≤0.0001) −10.5640 (≤0.0001) −10.3680 (≤0.0001) −10.4660 (≤0.0001)
ICEEMDAN-BPNN −5.9718 (≤0.0001) −10.2070 (≤0.0001) −9.9529 (≤0.0001) −10.0960 (≤0.0001)
ICEEMDAN-RW 3.0776 (0.0021) 2.7682 (0.0057) 3.0951 (0.0020)
LSSVR −1.8480 (0.0648) 1.0058 (0.3147)
摘要利用 1.9928 (0.0464)
3 MICEEMDAN-WOA-RVFL −4.9136 (≤0.0001) −3.6146 (0.0003) −10.8660 (≤0.0001) −16.5990 (≤0.0001) −15.6260 (≤0.0001) −16.6720 (≤0.0001)
ICEEMDAN-LSSVR −2.1143 (0.0346) −10.7560 (≤0.0001) −16.7020 (≤0.0001) −15.6780 (≤0.0001) −16.7760 (≤0.0001)
ICEEMDAN-BPNN −10.5250 (≤0.0001) −16.2160 (≤0.0001) −15.3500 (≤0.0001) −16.2430 (≤0.0001)
ICEEMDAN-RW 3.0818 (0.0021) 2.0869 (0.0370) 3.2155 (0.0012)
LSSVR −2.7750 (0.0056) 2.3836 (0.0173)
摘要利用 3.0743 (0.0021)
6 MICEEMDAN-WOA-RVFL −3.9302 (≤0.0001) −5.1332 (≤0.0001) −18.9130 (≤0.0001) −19.0620 (≤0.0001) −21.9930 (≤0.0001) −19.5080 (≤0.0001)
ICEEMDAN-LSSVR −3.4653 (0.0005) −18.9170 (≤0.0001) −19.1680 (≤0.0001) −22.0120 (≤0.0001) −19.5420 (≤0.0001)
ICEEMDAN-BPNN −18.8380 (≤0.0001) −19.1650 (≤0.0001) −21.9930 (≤0.0001) −19.5200 (≤0.0001)
ICEEMDAN-RW 2.6360 (0.0085) 0.5129 (0.6081) 4.1421 (≤0.0001)
LSSVR −2.2124 (0.0271) 3.9198 (≤0.0001)
摘要利用 4.3545 (≤0.0001)

美元/欧元 1 MICEEMDAN-WOA-RVFL −8.8860 (≤0.0001) −8.6031 (≤0.0001) −4.4893 (≤0.0001) −15.4300 (≤0.0001) −15.4100 (≤0.0001) −15.3440 (≤0.0001)
ICEEMDAN-LSSVR −0.8819 (0.3780) −4.4230 (≤0.0001) −14.7210 (≤0.0001) −14.7320 (≤0.0001) −14.6280 (≤0.0001)
ICEEMDAN-BPNN −4.4158 (≤0.0001) −14.6310 (≤0.0001) −14.6440 (≤0.0001) −14.5310 (≤0.0001)
ICEEMDAN-RW 3.3089 (0.0010) 3.2912 (0.0010) 3.3244 (0.0009)
LSSVR −1.8732 (0.06132) 2.9472 (0.0033)
摘要利用 3.4378 (0.0006)
3 MICEEMDAN-WOA-RVFL −10.1370 (≤0.0001) −7.9933 (≤0.0001) −5.7359 (≤0.0001) −18.3380 (≤0.0001) −18.6460 (≤0.0001) −18.2090 (≤0.0001)
ICEEMDAN-LSSVR −1.4797 (0.1392) −5.5972 (≤0.0001) −17.9030 (≤0.0001) −18.1920 (≤0.0001) −17.7730 (≤0.0001)
ICEEMDAN-BPNN −5.6039 (≤0.0001) −17.8370 (≤0.0001) −18.1350 (≤0.0001) −17.6910 (≤0.0001)
ICEEMDAN-RW 3.0048 (0.0027) 2.9552 (0.0032) 3.0206 (0.0026)
LSSVR −1.4077 (0.1595) 1.5242 (0.1278)
摘要利用 2.1240 (0.0339)
6 MICEEMDAN-WOA-RVFL −11.1070 (≤0.0001) −10.0570 (≤0.0001) −7.4594 (≤0.0001) −18.3010 (≤0.0001) −18.4640 (≤0.0001) −18.4940 (≤0.0001)
ICEEMDAN-LSSVR 1.9379 (0.0529) −7.0858 (≤0.0001) −17.4490 (≤0.0001) −17.5970 (≤0.0001) −17.6370 (≤0.0001)
ICEEMDAN-BPNN −7.1244 (≤0.0001) −17.5850 (≤0.0001) −17.7340 (≤0.0001) −17.7690 (≤0.0001)
ICEEMDAN-RW 2.5399 (0.0112) 2.6203 (0.0089) 2.6207 (0.0089)
LSSVR 2.2946 (0.0220) 2.5913 (0.0097)
摘要利用 −0.2090 (0.8345)
知识产权 1 MICEEMDAN-WOA-RVFL −3.4304 (0.0007) −2.4253 (0.0098) −3.4369 (0.0007) −3.5180 (0.0005) −4.1486 (≤0.0001) −3.3215 (0.0015)
ICEEMDAN-LSSVR −0.6714 (0.5026) −3.2572 (0.0013) −3.3188 (0.0010) −4.0082 (≤0.0001) −2.9573 (0.0034)
ICEEMDAN-BPNN −3.6265 (0.0004) −3.7455 (0.0002) −4.6662 (≤0.0001) −3.3790 (0.0008)
ICEEMDAN-RW −0.7438 (0.4577) −0.0502 (0.9600) 2.6089 (0.0096)
LSSVR 0.4094 (0.6826) 3.4803 (0.0006)
摘要利用 1.6021 (0.1104)
3 MICEEMDAN-WOA-RVFL −4.5687 (≤0.0001) −3.7062 (0.0003) −5.9993 (≤0.0001) −6.8919 (≤0.0001) −5.5008 (≤0.0001) −5.8037 (≤0.0001)
ICEEMDAN-LSSVR 1.1969 (0.2325) −5.5286 (≤0.0001) −6.6325 (≤0.0001) −5.2260 (≤0.0001) −5.3260 (≤0.0001)
ICEEMDAN-BPNN −5.7199 (≤0.0001) −6.7722 (≤0.0001) −5.2955 (≤0.0001) −5.5099 (≤0.0001)
ICEEMDAN-RW −5.6536 (≤0.0001) −3.6721 (0.0003) 1.7609 (0.0795)
LSSVR 0.2479 (0.8044) 6.3126 (≤0.0001)
摘要利用 3.9699 (≤0.0001)
6 MICEEMDAN-WOA-RVFL −5.9152 (≤0.0001) −3.5717 (0.0004) −5.9430 (≤0.0001) −7.5672 (≤0.0001) −10.8900 (≤0.0001) −5.8450 (≤0.0001)
ICEEMDAN-LSSVR −2.5163 (0.0125) −5.8465 (≤0.0001) −7.5185 (≤0.0001) −10.7140 (≤0.0001) −5.7483 (≤0.0001)
ICEEMDAN-BPNN −5.6135 (≤0.0001) −7.4370 (≤0.0001) −10.3470 (≤0.0001) −5.5254 (≤0.0001)
ICEEMDAN-RW −7.6719 (≤0.0001) −2.2903 (0.02287) 0.8079 (0.4200)
LSSVR 3.8137 (0.0002) 7.7861 (≤0.0001)
摘要利用 2.3351 (0.0204)

SSEC 1 MICEEMDAN-WOA-RVFL −4.0255 (≤0.0001) −3.748 (0.0004) −7.9407 (≤0.0001) −10.8090 (≤0.0001) −10.3070 (≤0.0001) −10.7330 (≤0.0001)
ICEEMDAN-LSSVR −1.5083 (0.1317) −7.8406 (≤0.0001) −10.5410 (≤0.0001) −10.0710 (≤0.0001) −10.5020 (≤0.0001)
ICEEMDAN-BPNN −7.7986 (≤0.0001) −10.5470 (≤0.0001) −10.0580 (≤0.0001) −10.5030 (≤0.0001)
ICEEMDAN-RW 3.5571 (0.0004) 3.2632 (0.0011) 3.5150 (0.0005)
LSSVR −1.0197 (0.3081) −0.6740 (0.5004)
摘要利用 0.8078 (0.4193)
3 MICEEMDAN-WOA-RVFL −3.8915 (0.0001) −3.7312 (0.0002) −10.5890 (≤0.0001) −10.5480 (≤0.0001) −10.7470 (≤0.0001) −10.1260 (≤0.0001)
ICEEMDAN-LSSVR −2.4145 (0.0159) −10.5830 (≤0.0001) −10.5240 (≤0.0001) −10.7760 (≤0.0001) −10.1110 (≤0.0001)
ICEEMDAN-BPNN −10.2420 (≤0.0001) −10.1860 (≤0.0001) −10.4400 (≤0.0001) −9.7595 (≤0.0001)
ICEEMDAN-RW 3.4031 (0.0007) 2.3198 (0.0205) 3.1912 (0.0014)
LSSVR −0.5931 (0.5532) −1.2284 (0.2194)
摘要利用 −0.0042 (0.9966)
6 MICEEMDAN-WOA-RVFL −2.9349 (0.0034) −3.7544 (0.0002) −10.2390 (≤0.0001) −10.1970 (≤0.0001) −11.0150 (≤0.0001) −10.1630 (≤0.0001)
ICEEMDAN-LSSVR −2.5830 (0.0099) −10.1390 (≤0.0001) −10.0940 (≤0.0001) −10.9630 (≤0.0001) −10.0690 (≤0.0001)
ICEEMDAN-BPNN −9.6418 (≤0.0001) −9.5562 (≤0.0001) −10.4090 (≤0.0001) −9.5122 (≤0.0001)
ICEEMDAN-RW 2.3167 (0.0207) 1.3656 (0.1723) 2.2227 (0.02639)
LSSVR −1.9027 (0.05728) −0.5814 (0.5611)
摘要利用 1.5707 (0.1165)