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Objective bayesian analysis of the Yule–Simon distribution with applications

Author

Listed:
  • Fabrizio Leisen

    (University of Kent)

  • Luca Rossini

    (Ca’ Foscari University of Venice
    Free University of Bozen-Bolzano)

  • Cristiano Villa

    (University of Kent)

Abstract

The Yule–Simon distribution is usually employed in the analysis of frequency data. As the Bayesian literature, so far, has ignored this distribution, here we show the derivation of two objective priors for the parameter of the Yule–Simon distribution. In particular, we discuss the Jeffreys prior and a loss-based prior, which has recently appeared in the literature. We illustrate the performance of the derived priors through a simulation study and the analysis of real datasets.

Suggested Citation

  • Fabrizio Leisen & Luca Rossini & Cristiano Villa, 2018. "Objective bayesian analysis of the Yule–Simon distribution with applications," Computational Statistics, Springer, vol. 33(1), pages 99-126, March.
    • Handle: RePEc:spr:compst:v:33:y:2018:i:1:d:10.1007_s00180-017-0735-1
    DOI: 10.1007/s00180-017-0735-1
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    References listed on IDEAS

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    1. Laura Spierdijk & Mark Voorneveld, 2009. "Superstars without Talent? The Yule Distribution Controversy," The Review of Economics and Statistics, MIT Press, vol. 91(3), pages 648-652, August.
    2. C. Villa & S. G. Walker, 2015. "An Objective Approach to Prior Mass Functions for Discrete Parameter Spaces," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(511), pages 1072-1082, September.
    3. Chung, Kee H & Cox, Raymond A K, 1994. "A Stochastic Model of Superstardom: An Application of the Yule Distribution," The Review of Economics and Statistics, MIT Press, vol. 76(4), pages 771-775, November.
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