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Effect of the finite size of population on the distribution of family names

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Abstract

We examine the effect of finite size of population on the distribution of family names. As the result we observe that the power-law behavior of size-frequency distribution in Reed-Hughes ([15]) model collapses to show the convex shape on the logarithmic graph. We can approximately calculate the average distribution of size-frequency distribution of family names obtained by the similar method for Ewens sampling formula.

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Authors and Affiliations

  1. Shizuoka University, 432-8561, Hamamatsu, Japan

    Kazunori Sato & Atsushi Oguri

Authors
  1. Kazunori Sato
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  2. Atsushi Oguri
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Correspondence to Kazunori Sato.

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Sato, K., Oguri, A. Effect of the finite size of population on the distribution of family names. Japan J. Indust. Appl. Math. 24, 119–130 (2007). https://doi.org/10.1007/BF03167511

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  • DOI: https://doi.org/10.1007/BF03167511

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