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Table 2 Descriptive statistics of the IMFs/residue of WTI, 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

−15.24 (0.01)

0.22 (0.1)

3781.20 (0.000)

8.567

0.0035

0.92

IMF.2

−16.79 (0.01)

0.03 (0.1)

3917.50 (0.000)

8.66

0.0008

0.97

IMF.3

−13.84 (0.01)

0.022 (0.1)

901.49 (0.000)

5.711

−0.0066

1.567

IMF.4

−8.63

(0.01)

0.062 (0.1)

81.49 (0.184)

3.622

−0.1983

2.266

IMF.5

−7.82

(0.02)

0.180 (0.1)

564.44 (0.000)

5.139

−0.1187

6.445

IMF.6

−3.70

(0.01)

0.276 (0.1)

878.23 (0.000)

5.682

0.2289

7.557

IMF.7

−2.30 (0.45)

1.519 (0.01)

244.24 (0.000)

2.127

−1.2018

10.844

RES

−1.83 (0.64)

20.624 (0.01)

366.29 (0.000)

1.755

76.7498

16.129

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