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Lognormal Infection Times of Online Information Spread

Author

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  • Christian Doerr
  • Norbert Blenn
  • Piet Van Mieghem

Abstract

The infection times of individuals in online information spread such as the inter-arrival time of Twitter messages or the propagation time of news stories on a social media site can be explained through a convolution of lognormally distributed observation and reaction times of the individual participants. Experimental measurements support the lognormal shape of the individual contributing processes, and have resemblance to previously reported lognormal distributions of human behavior and contagious processes.

Suggested Citation

  • Christian Doerr & Norbert Blenn & Piet Van Mieghem, 2013. "Lognormal Infection Times of Online Information Spread," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-6, May.
    • Handle: RePEc:plo:pone00:0064349
    DOI: 10.1371/journal.pone.0064349
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    Cited by:

    1. Zdravko I. Botev & Robert Salomone & Daniel Mackinlay, 2019. "Fast and accurate computation of the distribution of sums of dependent log-normals," Annals of Operations Research, Springer, vol. 280(1), pages 19-46, September.
    2. Xiao, Yunpeng & Wang, Zheng & Li, Qian & Li, Tun, 2019. "Dynamic model of information diffusion based on multidimensional complex network space and social game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 578-590.
    3. Pan, Junshan & Hu, Hanping & Liu, Ying, 2014. "Human behavior during Flash Crowd in web surfing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 212-219.
    4. Pan, Junshan & Liu, Ying & Liu, Xiang & Hu, Hanping, 2016. "Discriminating bot accounts based solely on temporal features of microblog behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 193-204.
    5. Xiao, Yunpeng & Xie, Xiaoqiu & Li, Qian & Li, Tun, 2019. "Nonlinear dynamics model for social popularity prediction based on multivariate chaotic time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1259-1275.

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