Heavy-Tailed Distributions Generated by Randomly Sampled Gaussian, Exponential and Power-Law Functions
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47930#.VFbtmWfHRK0 Author(s) Frederic von Wegner Affiliation(s) Medical Biophysics Group, Institute of Physiology and Pathophysiology, University of Heidelberg, Heidelberg, Germany . ABSTRACT A simple stochastic mechanism that produces exact and approximate power-law distributions is presented. The model considers radially symmetric Gaussian, exponential and power-law functions inn= 1, 2, 3 dimensions. Randomly sampling these functions with a radially uniform sampling scheme produces heavy-tailed distributions. For two-dimensional Gaussians and one-dimensional exponential functions, exact power-laws with exponent – 1 are obtained. In ...