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A multiplicative process for generating a beta-like survival function with application to the UK 2016 EU referendum results

Author

Listed:
  • Trevor Fenner

    (Department of Computer Science and Information Systems Birkbeck, University of London, London, UK)

  • Eric Kaufmann

    (Department of Politics Birkbeck, University of London, London, UK)

  • Mark Levene

    (Department of Computer Science and Information Systems Birkbeck, University of London, London, UK)

  • George Loizou

    (Department of Computer Science and Information Systems Birkbeck, University of London, London, UK)

Abstract

Human dynamics and sociophysics suggest statistical models that may explain and provide us with better insight into social phenomena. Contextual and selection effects tend to produce extreme values in the tails of rank-ordered distributions of both census data and district-level election outcomes. Models that account for this nonlinearity generally outperform linear models. Fitting nonlinear functions based on rank-ordering census and election data therefore improves the fit of aggregate voting models. This may help improve ecological inference, as well as election forecasting in majoritarian systems. We propose a generative multiplicative decrease model that gives rise to a rank-order distribution and facilitates the analysis of the recent UK EU referendum results. We supply empirical evidence that the beta-like survival function, which can be generated directly from our model, is a close fit to the referendum results, and also may have predictive value when covariate data are available.

Suggested Citation

  • Trevor Fenner & Eric Kaufmann & Mark Levene & George Loizou, 2017. "A multiplicative process for generating a beta-like survival function with application to the UK 2016 EU referendum results," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(11), pages 1-14, November.
  • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:11:n:s0129183117501327
    DOI: 10.1142/S0129183117501327
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    References listed on IDEAS

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    1. Damián H. Zanette, 2008. "Multiplicative Processes and City Sizes," Springer Books, in: Sergio Albeverio & Denise Andrey & Paolo Giordano & Alberto Vancheri (ed.), The Dynamics of Complex Urban Systems, pages 457-472, Springer.
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    Cited by:

    1. Rytis Kazakeviv{c}ius & Aleksejus Kononovicius, 2023. "Anomalous diffusion and long-range memory in the scaled voter model," Papers 2301.08088, arXiv.org, revised Feb 2023.
    2. Rytis Kazakevicius & Aleksejus Kononovicius & Bronislovas Kaulakys & Vygintas Gontis, 2021. "Understanding the nature of the long-range memory phenomenon in socioeconomic systems," Papers 2108.02506, arXiv.org, revised Aug 2021.

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    1. Trevor Fenner & Mark Levene & George Loizou, 2018. "A multiplicative process for generating the rank-order distribution of UK election results," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(3), pages 1069-1079, May.

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