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Table 2 Results of fitting the (weighted) degrees to the power-law, normal, exponential, and log-normal distribution for the SVEIN and SVCN and statistically testing on whether the (weighted) degrees are drawn from the four distributions. The symbols , , and indicate the significant levels of 5%, 1%, and 0.1%, respectively

From: Comparative analysis of layered structures in empirical investor networks and cellphone communication networks

 SVEINSVCN
 DegreeWeighted degreeDegreeWeighted degree
 k>0k>100k>0k>100k>0k>100k>0k>100
Panel A: Fits to the power-law distribution.
α1.503.501.501.841.503.501.501.50
KS0.190.110.330.260.160.090.420.42
p-value0.000.130.000.000.000.000.000.00
AIC161,511.774693.74325,265.9510,568.0228,130,126.25580,173.1349,774,220.931,084,909.45
Panel B: Fits to the normal distribution
\(\mu _{N}\)−1031.56−93.681200.6018,487.0912.61−2292.22142.471422.38
\(\sigma _{N}\)131.70107.863570.8210,973.3423.12327.80298.20881.68
KS0.260.030.370.150.310.030.320.09
p-value0.000.770.000.000.000.400.000.00
AIC166,010.364632.85418,656.9110,447.3938,012,462.68576,466.0259,330,827.17975,316.25
Panel C: Fits to the exponential distribution
α16.7142.911200.6018,487.0912.6242.23142.471446.69
KS0.240.050.410.280.240.020.300.28
p-value0.000.460.000.000.000.630.000.00
AIC166,432.624637.31352,848.3510,540.1129,472,982.01576,270.1149,680,143.771005,464.72
Panel D: Fits to the log-normal distribution
\(\mu _{L}\)1.834.655.089.671.614.203.347.24
\(\sigma _{L}\)1.430.392.040.541.300.542.040.45
KS0.130.040.060.080.110.020.070.01
p-value0.000.710.000.000.000.610.000.17
AIC157,319.094634.67314,478.4110,208.3827,447,309.97575,902.1745,639,797.91955,503.08