powerlawlog_project
The following code and procedure have been developed to provide an easy and complete tool for automatization of fitting frequency data of objects according to both log normal and powerlaw distributions, starting from xls tabular data. The procedure uses external resources for the fitting code on the power-law distribution, of which we will give the references. The lognormal distribution is often not sufficient to interpret data distributions that have low frequencies and high intensities in the tail, although this events could be more relevant than those characterized by high frequencies. The populations of cities, the intensities of earthquakes, the sizes of power outages, for example, are all thought to follow power-law distributions. In food science, the bubble size in bread dough, or crackings in the surface of cookies, follow this pattern in the tail of the distribution. Quantities such as these are not well characterized by their typical or average values. Estimations on discrete parametric power law which better fits on the empirical data, is done as explained by Clauset et al. (2009). The 𝑥≥𝑚𝑖𝑛 value estimated is chosen in way that the estimated power law model gets a best fit of the empirical probability distribution for 𝑥 ≥ 𝑥𝑚𝑖𝑛 Clauset et al. (2009. To estimate the distance between the two model distributions, the empirical and theoretical power-law uses the Kolmogorov – Smirnov statistic D. Estimation for 𝑥 ≥ 𝑥𝑚𝑖𝑛 is defined by the value which minimizes D. the supposition that our data follows a power law for 𝑥 ≥ 𝑥𝑚𝑖𝑛, the α parameter is estimated by a numeric optimization of the log–likelihood.
Citation pour cette source
Antonio Demarcus (2024). powerlawlog_project (https://github.com/AntonioDEM/powerlawlog_project), GitHub. Récupéré le .
Compatibilité avec les versions de MATLAB
Plateformes compatibles
Windows macOS LinuxTags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Découvrir Live Editor
Créez des scripts avec du code, des résultats et du texte formaté dans un même document exécutable.
code
code/external
code/external/export_fig
code/external/powerlaws
code/plotsol
code/setting_file
Les versions qui utilisent la branche GitHub par défaut ne peuvent pas être téléchargées
Version | Publié le | Notes de version | |
---|---|---|---|
1.0.0 |
|