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Table 3 Descriptive statistics of the IMFs/residue of BRENT, in the period between 06-July-2007 and 25-February-2019

From: A hybrid Bayesian-network proposition for forecasting the crude oil price

Name augmented Dickey–Fuller (ADF)a Kwiatkowski-Phillips-Schmidt-Shin (KPSS) b Jarque–Bera Kurtosis mean Standard Deviation
IMF.1 −14.78 (0.01) 0.204 (0.1) 554.27 (0.000) 5.132 0.0001 0.81
IMF.2 −18.008 (0.01) 0.067 (0.1) 870.12 (0.000) 5.674 0.0263 1.00
IMF.3 −16.059 (0.01) 0.024 (0.1) 1281.5 (0.000) 6.247 −0.0294 1.55
IMF.4 −10.714 (0.01) 0.023 (0.1) 152.74 (0.000) 4.115 0.0302 1.81
IMF.5 −5.140 (0.01) 0.127 (0.1) 511.08 (0.000) 4.914 0.094 5.57
IMF.6 −6.923 (0.01) 0.273 (0.1) 4365.10 (0.000) 8.566 0.0213 7.83
IMF.7 −3.055 (0.13) 2.841 (0.01) 28.49 (0.000) 2.802 0.597 11.88
IMF.8 −2.574 (0.33) 2.841 (0.01) 28.49 (0.000) 2.716 −2.403 7.51
RES −2.896 (0.19) 14.343 (0.01) 186.48 (0.000) 1.861 82.330 20.49
  1. a Alternative hypothesis: Data is stationary
  2. b Null hypothesis: Data is level stationary