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

EPJ Data Science

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

	SVEIN				SVCN
	Degree		Weighted degree		Degree		Weighted degree
	k>0	k>100	k>0	k>100	k>0	k>100	k>0	k>100
Panel A: Fits to the power-law distribution.
α	1.50	3.50	1.50	1.84	1.50	3.50	1.50	1.50
KS	0.19	0.11	0.33	0.26	0.16	0.09	0.42	0.42
p-value	0.00^∗∗∗	0.13	0.00^∗∗∗	0.00^∗∗∗	0.00^∗∗∗	0.00^∗∗∗	0.00^∗∗∗	0.00^∗∗∗
AIC	161,511.77	4693.74	325,265.95	10,568.02	28,130,126.25	580,173.13	49,774,220.93	1,084,909.45
Panel B: Fits to the normal distribution
\(\mu _{N}\)	−1031.56	−93.68	1200.60	18,487.09	12.61	−2292.22	142.47	1422.38
\(\sigma _{N}\)	131.70	107.86	3570.82	10,973.34	23.12	327.80	298.20	881.68
KS	0.26	0.03	0.37	0.15	0.31	0.03	0.32	0.09
p-value	0.00^∗∗∗	0.77	0.00^∗∗∗	0.00^∗∗∗	0.00^∗∗∗	0.40	0.00^∗∗∗	0.00^∗∗∗
AIC	166,010.36	4632.85	418,656.91	10,447.39	38,012,462.68	576,466.02	59,330,827.17	975,316.25
Panel C: Fits to the exponential distribution
α	16.71	42.91	1200.60	18,487.09	12.62	42.23	142.47	1446.69
KS	0.24	0.05	0.41	0.28	0.24	0.02	0.30	0.28
p-value	0.00^∗∗∗	0.46	0.00^∗∗∗	0.00^∗∗∗	0.00^∗∗∗	0.63	0.00^∗∗∗	0.00^∗∗∗
AIC	166,432.62	4637.31	352,848.35	10,540.11	29,472,982.01	576,270.11	49,680,143.77	1005,464.72
Panel D: Fits to the log-normal distribution
\(\mu _{L}\)	1.83	4.65	5.08	9.67	1.61	4.20	3.34	7.24
\(\sigma _{L}\)	1.43	0.39	2.04	0.54	1.30	0.54	2.04	0.45
KS	0.13	0.04	0.06	0.08	0.11	0.02	0.07	0.01
p-value	0.00^∗∗∗	0.71	0.00^∗∗∗	0.00^∗∗	0.00^∗∗∗	0.61	0.00^∗∗∗	0.17
AIC	157,319.09	4634.67	314,478.41	10,208.38	27,447,309.97	575,902.17	45,639,797.91	955,503.08