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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