The Birth-Death-Mutation Process: A New Paradigm for Fat Tailed Distributions

摘要: Fat tailed statistics and power-laws are ubiquitous in many complex systems. Usually the appearance of a few anomalously successful individuals (bio-species, investors, websites) is interpreted as reflecting some inherent “quality” (fitness, talent, giftedness) Darwin's theory natural selection. Here we adopt opposite, “neutral”, outlook, suggesting that main factor explaining success merely luck. The emerging from neutral birth-death-mutation (BDM) process shown to fit marvelously empirical distributions. While previous theories have focused on power-law tail, our economically accurately explains entire distribution. We thus suggest BDM distribution standard model: effects fitness selection be identified by substantial deviations it.