English

How to fit the degree distribution of the air network?

Physics and Society 2016-08-16 v1 Statistical Mechanics

Abstract

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.

Keywords

Cite

@article{arxiv.physics/0601091,
  title  = {How to fit the degree distribution of the air network?},
  author = {Wei Li and Qiuping A. Wang and Laurent Nivanen and Alain Le Méhauté},
  journal= {arXiv preprint arXiv:physics/0601091},
  year   = {2016}
}

Comments

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