Double Pareto Lognormal Distributions in Complex Networks

Zheng Fang (), Jie Wang (), Benyuan Liu () and Weibo Gong ()
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Zheng Fang: University of Massachusetts
Jie Wang: University of Massachusetts
Benyuan Liu: University of Massachusetts
Weibo Gong: University of Massachusetts

Chapter Chapter 3 in Handbook of Optimization in Complex Networks, 2012, pp 55-80 from Springer

Abstract: Abstract This article elaborates the mathematical concept of double Pareto lognormal distribution and provides an overview of complex networks and natural phenomena that exhibit double Pareto lognormal distributions. These include the number of friends in social networks, the number of downloads on the Internet, Internet file sizes, stock market returns, wealth in human societies, human settlement sizes, oil field reserves, and areas burnt from forest wildfire.

Keywords: Lognormal Distribution; Forest Fire; Stochastic Differential Equation; Pareto Distribution; Geometric Brownian Motion (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0754-6_3

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DOI: 10.1007/978-1-4614-0754-6_3

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