Heavy-Tailed Distributions Generated by Randomly Sampled Gaussian, Exponential and Power-Law FunctionsReportar como inadecuado




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A simple stochastic mechanism that produces exact and approximatepower-law distributions is presented. The model considers radially symmetricGaussian, exponential and power-law functions inn= 1, 2, 3 dimensions. Randomly sampling these functions with aradially uniform sampling scheme produces heavy-tailed distributions. Fortwo-dimensional Gaussians and one-dimensional exponential functions, exactpower-laws with exponent –α, random sampling leads to densitiesthat also follow an exact power-law, with exponent -n-a



Autor: Frederic von Wegner

Fuente: http://www.scirp.org/



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