Modelization and Calibration of the Power-Law Distribution in Stock Market by Maximization of Varma Entropy

Table 5

Power-law distribution of return distribution of Shanghai Composite index.

Variable	R^2	q
Δt = 10 min	0.7706	4.2815	0.34	35.36	−0.40	−192.09
Δt = 20 min	0.9905	5.3601	0.44	24.29	−0.32	−117.99
Δt = 30 min	0.9944	5.0466	0.44	21.24	−0.42	−48.94
Δt = 40 min	0.9942	4.1136	0.39	20.74	−0.49	−112.10
Δt = 50 min	0.9972	4.0104	0.39	19.21	−0.54	−106.29
Δt = 60 min	0.9984	3.0620	0.32	20.76	−0.78	−128.03
Δt = 70 min	0.9942	2.4848	0.28	23.46	−1.30	−173.84
Δt = 80 min	0.9983	2.1926	0.32	29.76	1.46	182.78

¹Note. The data used are the Shanghai Composite index of 2018 obtained from Wind.