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Table 7 Results of power law fit of the degree and strength distribution for all the months obtained by using the algorithm described in [47]. The α parameter is the fitted exponent and the \(k_{\mathrm{min}}\) and \(w_{\mathrm{min}}\) parameter is the estimated minimum value after which the behaviour of the distribution is consistent with a power law tail. Since the volume of payments are scaled, the values of \(w_{\mathrm{min}}\text{ s}\) are not much informative, so for the strength \(F(w_{\mathrm{min}})=1-ECDF(w_{\mathrm{min}})\) is reported instead

From: Corporate payments networks and credit risk rating

Month

Degree

Strength

\(\alpha ^{\mathrm{in}}\)

\(k_{\mathrm{min}}^{\mathrm{in}}\)

\(\alpha ^{\mathrm{out}}\)

\(k_{\mathrm{min}}^{\mathrm{out}}\)

\(\alpha ^{\mathrm{in}}\)

\(F(w_{\mathrm{min}}^{\mathrm{in}})\)

\(\alpha ^{\mathrm{out}}\)

\(F(w_{\mathrm{min}}^{\mathrm{out}})\)

Jan

2.55

159

2.85

24

1.89

0.03

1.89

0.01

Feb

2.56

148

2.80

19

2.10

0.03

1.99

0.01

Mar

2.53

125

2.70

44

2.11

0.03

1.97

0.01

Apr

2.67

257

2.82

22

2.14

0.03

2.01

0.01

May

2.66

227

2.83

23

2.12

0.03

2.07

0.01

Jun

2.58

135

2.83

23

2.07

0.03

1.96

0.01

Jul

2.52

124

2.80

21

2.07

0.03

2.02

0.01

Aug

2.62

236

2.74

14

2.07

0.03

1.94

0.01

Sep

2.64

187

2.83

32

2.09

0.04

2.03

0.01

Oct

2.53

129

2.75

25

2.05

0.03

1.95

0.01

Nov

2.59

134

2.83

19

2.06

0.03

2.04

0.01

Dec

2.55

180

2.62

41

2.06

0.03

1.98

0.01