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Table 3.

Fitted parameters and p-value of the goodness-of-fit for power law (PL), power law with cutoff (PLwC), and Yule-Simon (Y-S) distributions, for the nine journals with reduced time span. We see that the only data that are well-approximated by the PL are for NAT when reduced to the first 3,374 entries of WoS. The PLwC, however, seems to be a good fit for the reduced data of six journals (NAT, PNA, SCI, LAN, TAC, and ENE). ENE is particularly well-fitted by the PLwC. Finally, the Yule-Simon distribution seems to correctly fit the distribution of PAN, PLC, and ACS. For the other journals, none of the distributions seem to fit the data appropriately. Remark that the reduced data of NAT and PNA are correctly fitted for two distributions, indicating that the amount of data is probably not sufficient for a good fit.

 PLPLwCY-S
αp (%)βγp (%)ρp (%)
NAT 2.32 29.4 2.23 0.016 6.0 2.98 0.0 
PNA 2.10 0.1 1.96 0.02 15.0 2.55 6.3 
SCI 2.44 0.0 2.13 0.09 72.0 3.37 4.7 
LAN 2.25 0.0 1.81 0.11 30.2 2.91 2.5 
NEM 2.27 0.9 2.06 0.04 4.4 2.91 0.0 
PLC 2.59 0.0 2.12 0.16 0.3 3.82 54.7 
ACS 2.06 0.0 1.89 0.02 0.1 2.46 64.0 
TAC 2.32 0.0 2.06 0.06 23.7 3.04 0.1 
ENE 2.69 0.8 2.50 0.06 94.5 4.06 0.0 
 PLPLwCY-S
αp (%)βγp (%)ρp (%)
NAT 2.32 29.4 2.23 0.016 6.0 2.98 0.0 
PNA 2.10 0.1 1.96 0.02 15.0 2.55 6.3 
SCI 2.44 0.0 2.13 0.09 72.0 3.37 4.7 
LAN 2.25 0.0 1.81 0.11 30.2 2.91 2.5 
NEM 2.27 0.9 2.06 0.04 4.4 2.91 0.0 
PLC 2.59 0.0 2.12 0.16 0.3 3.82 54.7 
ACS 2.06 0.0 1.89 0.02 0.1 2.46 64.0 
TAC 2.32 0.0 2.06 0.06 23.7 3.04 0.1 
ENE 2.69 0.8 2.50 0.06 94.5 4.06 0.0 
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