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Modelling using an extended Yule distribution

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  • Martínez-Rodríguez, A.M.
  • Sáez-Castillo, A.J.
  • Conde-Sánchez, A.
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    Abstract

    A biparametric discrete distribution that extends the Yule distribution is presented. It belongs to the family of distributions generated by the Gaussian hypergeometric function and it can be expressed as a generalized beta mixture of a geometric distribution. The introduction of a new parameter makes the model very suitable to fit the empiric distribution tails and the effect of infinite variance is not possible. Several examples show more accurate fits when the extended distribution is used and the results are compared with other biparametric extensions of the Yule distribution.

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    File URL: http://www.sciencedirect.com/science/article/B6V8V-50KC6H0-1/2/407d8876d2252d6c07b07e2bfcf578d2
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    Bibliographic Info

    Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

    Volume (Year): 55 (2011)
    Issue (Month): 1 (January)
    Pages: 863-873

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    Handle: RePEc:eee:csdana:v:55:y:2011:i:1:p:863-873

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    Web page: http://www.elsevier.com/locate/csda

    Related research

    Keywords: Yule distribution Gaussian hypergeometric distributions Statistical modelling;

    References

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    1. David E. Giles, 2005. "Superstardom in the U.S. Popular Music Industry Revisited," Econometrics Working Papers 0511, Department of Economics, University of Victoria.
    2. 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.
    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 771-75, November.
    4. Ginebra, Josep & Puig, Xavier, 2010. "On the measure and the estimation of evenness and diversity," Computational Statistics & Data Analysis, Elsevier, vol. 54(9), pages 2187-2201, September.
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