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. 2014 Apr 11;9(4):e94237. doi: 10.1371/journal.pone.0094237

Table 2. Estimates of the parameters of the modified PRG model of the SB system for the period 2005–2012 based on the FG2000 list of firms.

Year Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
2005 0.12 0.20 0.89 0.10 0.1 18
2006 0.10 0.24 0.87 0.09 0.1 15
2007 0.15 0.22 0.86 0.13 0.1 20
2008 0.11 0.28 0.90 0.10 0.1 12
2009 0.04 0.21 0.89 0.04 0.1 6
2010 0.11 0.23 0.90 0.10 0.1 14
2011 0.10 0.17 0.91 0.09 0.1 13
2012 0.09 0.17 0.90 0.08 0.1 12

Inline graphic and Inline graphic are calculated by yearly variations of the firms' asset size between consecutive years, except for 2005 we use data of 2003, instead of 2004 which is missing. Using these values, Inline graphic is computed from the estimate of the Pareto index Inline graphic, inverting Eq. (3). The reported value of Inline graphic is the one that minimizes the distance between the observed and the simulated firm size distributions. Specifically, i) we compute Inline graphic with Inline graphic being the Inline graphic-th largest firm in the simulation, Inline graphic the Inline graphic-th largest firm in the FG2000 list and Inline graphic is the average over 100 simulations. ii) We find Inline graphic that minimizes the mean square deviation Inline graphic, with Inline graphic.