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A Power-Law Growth and Decay Model with Autocorrelation for Posting Data to Social Networking Services

PLoS One. 2016 Aug 9;11(8):e0160592. doi: 10.1371/journal.pone.0160592. eCollection 2016.

Abstract

We propose a power-law growth and decay model for posting data to social networking services before and after social events. We model the time series structure of deviations from the power-law growth and decay with a conditional Poisson autoregressive (AR) model. Online postings related to social events are described by five parameters in the power-law growth and decay model, each of which characterizes different aspects of interest in the event. We assess the validity of parameter estimates in terms of confidence intervals, and compare various submodels based on likelihoods and information criteria.

MeSH terms

  • Models, Statistical*
  • Poisson Distribution
  • Social Networking*
  • Statistics as Topic / methods*

Grants and funding

This work was supported by JSPS Grant-in-Aid No. 15K20939 and JSPS Grant-in-Aid No. 25220001.