How to fit the degree distribution of the air network?

Details How to fit the degree distribution of the air network? How to fit the degree distribution of the air network?

2006-01-12

arxiv.org/abs/physics/0601091v1

Physica A 386 (2006) 262

Physics

Physics and Society

21 pages, 11 eps figures, to be published in Physica A (2006), PACS: 02.60.Ed; 89.40.Dd; 89.75.Da; 89.75.-k; 05.10.-a

Scientific paper

10.1016/j.physa.2005.11.050

We investigate three different approaches for fitting the degree distributions of China-, US- and the composite China+US air network, in order to reveal the nature of such distributions and the potential theoretical background on which they are based. Our first approach is the fitting with q-statistics probability distribution, done separately in two regimes. This yields acceptable outcomes but generates two sets of fitting parameters. The second approach is an entire fitting to all data points with the formula proposed by Tsallis et al. So far, this trial is not able to produce consistent results. In the third approach, we fit the data with two composite distributions which may lack theoretical support for the moment.

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