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Table 4 Descriptive statistics of the IMFs/residue of ORB, 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

−15.60 (0.01)

0.134 (0.1)

1185.2 (0.000)

6.11

0.0057

0.59

IMF.2

−18.54 (0.01)

0.035 (0.1)

1400.9 (0.000)

6.38

0.0201

0.85

IMF.3

−15.65 (0.01)

0.017 (0.1)

402.6 (0.000)

4.81

−0.0100

1.22

IMF.4

−7.751 (0.01)

0.212 (0.1)

1283.4 (0.000)

6.21

−0.0380

2.53

IMF.5

−7.084 (0.01)

1.806 (0.1)

3266.4 (0.000)

8.05

−1.1880

8.85

IMF.6

−2.993 (0.15)

2.168 (0.01)

1347.2 (0.000)

5.34

1.1660

7.97

IMF.7

−1.914 (0.61)

0.506 (0.04)

86.03 (0.951)

2.42

−0.426

4.50

IMF.8

−3.090 (0.11)

1.694 (0.01)

195.00 (0.000)

1.97

−1.026

8.96

RES

−2.871 (0.20)

14.435 (0.01)

191.58 (0.000)

1.75

79.810

19.36

  1. a Alternative hypothesis: Data is stationary
  2. b Null hypothesis: Data is level stationary