Modifications to Simple Statistical Theory---Non-Gaussian Statistics

4 MODIFICATIONS TO SIMPLE STATISTICAL THEORY— NON-GAUSSIAN STATISTICS 

In this section some general considerations of interest regarding non-Gaussian statistical theory are made with the aim of bringing the simple network model discussed in Section 3,2 closer to a real network (2,4). 

The expression of the probability density function, P r), in logarithmic form corresponding to non-Gaussian statistics furnished by Kuhn and Griin in 1942 for a chain with n links of length / is given by 

It is worthwhile to note that the equations describing the behavior of a Gaussian network [Eqs. (3.33) and (3.36)] depend on the structure of the network via a single parameter N, while the descriptions of non-Gaussian networks [Eq. (3.44)] include a second structural parameter, n. Therefore the number of chains, iV, of the network determines the behavior observed in 

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