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Double Pareto Lognormal Distributions in Complex Networks

In: Handbook of Optimization in Complex Networks

Author

Listed:
  • Zheng Fang

    (University of Massachusetts)

  • Jie Wang

    (University of Massachusetts)

  • Benyuan Liu

    (University of Massachusetts)

  • Weibo Gong

    (University of Massachusetts)

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.

Suggested Citation

  • Zheng Fang & Jie Wang & Benyuan Liu & Weibo Gong, 2012. "Double Pareto Lognormal Distributions in Complex Networks," Springer Optimization and Its Applications, in: My T. Thai & Panos M. Pardalos (ed.), Handbook of Optimization in Complex Networks, edition 1, chapter 0, pages 55-80, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-0754-6_3
    DOI: 10.1007/978-1-4614-0754-6_3
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    Cited by:

    1. Michael P Cameron, 2022. "Zipf's Law across social media," Working Papers in Economics 22/07, University of Waikato.

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