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Ordered and unordered random partitions of an integer and the GEM distribution


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  • Sibuya, Masaaki
  • Yamato, Hajime
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    The joint distribution of ordered (or unordered) frequencies of a sample from random proportions is the Donnelly-Tavaré-Griffiths formula (or the Ewens sampling formula) if and only if the size-biased permutation of the random proportions has the GEM distribution.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 25 (1995)
    Issue (Month): 2 (November)
    Pages: 177-183

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    Handle: RePEc:eee:stapro:v:25:y:1995:i:2:p:177-183

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    Keywords: Donnelly-Tavare-Griffiths formula Ewens sampling formula Hoppe's urn Poisson-Dirichlet distribution Size-biased permutation;


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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Hajime Yamato, 1993. "A pólya urn model with a continuum of colors," Annals of the Institute of Statistical Mathematics, Springer, vol. 45(3), pages 453-458, September.
    2. Masaaki Sibuya, 1993. "A random clustering process," Annals of the Institute of Statistical Mathematics, Springer, vol. 45(3), pages 459-465, September.
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    Cited by:
    1. Yamato, Hajime & Sibuya, Masaaki & Nomachi, Toshifumi, 2001. "Ordered sample from two-parameter GEM distribution," Statistics & Probability Letters, Elsevier, vol. 55(1), pages 19-27, November.
    2. Barrera, Javiera & Huillet, Thierry, 2004. "On random splitting of the interval," Statistics & Probability Letters, Elsevier, vol. 66(3), pages 237-250, February.
    3. Thierry Huillet, 2005. "Unordered and ordered sample from dirichlet distribution," Annals of the Institute of Statistical Mathematics, Springer, vol. 57(3), pages 597-616, September.


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