We consider the following classic statistical distributions Poisson distribution,

Exponential distribution and Uniform distribution.

In this paper, we discuss one specific SN which has the feature of node growth time interval follows

exponential distribution. As depicted in Fig.1(a), it shows the social construction for SN.

Table 2 Economic Parameters Parameters Values Definition [alpha] 0.66 Curvature profit function [[sigma].sub.mrn] 0.0324 Measurement error [pi] 0.0015 Payroll tax above n [lambda] 3.6829

Exponential distribution Table 3 Moments Data Model Standard deviation [DELTA]logn 0.1561 0.1561 Power law coefficent 2.2522 2.2522 Density of firms in each bin 40-46 0.0718 0.0666 47-49 0.0790 0.0783 50-52 0.0307 0.0341 53-59 0.0240 0.0281 Table 4 Policy Experiments Experiment Gains (%) Benchmark 0.30 Apply regulation to all firms -2.50 Apply regulation to firms above 75 employees 0.06 NOTE: Gains are relative to the scenario when the regulation is applied to firms with more than 50 employees.

Linear prediction of record values for the two parameter

exponential distribution. Annals of the Institute of Statistical Mathematics, 32(1), 363-368.

The gamma exponentiated

exponential distribution. Journal of Statistical Computation and Simulation, 82(8), 1191-1206.

When [beta] = 1 and a = 0, Eq.(2) is reduced to Eq.(11), which is the

exponential distribution. When [beta] = 2 and a = 0, Eq.

This distribution comprises the Rayleigh and the

exponential distributions as superior cases.

Rastogi, "Statistical properties and applications of a new lindley

exponential distribution," Gazi University Journal of Science, vol.

A large number of CT and SEM experiments show that the number of pores satisfies an approximate uniform distribution along the circumference, and the pore space and pore size are in normal distribution and

exponential distribution [18-20].

Figure 3 plots the normalized betweenness centrality distribution and its probability density function of

exponential distribution approximation with the same scenarios as node degree.

Moreover, we also assume that the jump size follows an

Exponential distribution in order to make some comparisons and analyze the role of the jump size distribution.

A simple case is the double exponential jump diffusion process whose first-passage time problem has been solved by Kou and Wang (2003) [26] by means of the conditional memory less of

exponential distribution. The property keeping the double exponential jump diffusion form unchanged under the measure transform will be proved below.