IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v25y1995i2p177-183.html
   My bibliography  Save this article

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

Author

Listed:
  • Sibuya, Masaaki
  • Yamato, Hajime

Abstract

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.

Suggested Citation

  • Sibuya, Masaaki & Yamato, Hajime, 1995. "Ordered and unordered random partitions of an integer and the GEM distribution," Statistics & Probability Letters, Elsevier, vol. 25(2), pages 177-183, November.
    • Handle: RePEc:eee:stapro:v:25:y:1995:i:2:p:177-183
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(94)00220-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Masaaki Sibuya, 1993. "A random clustering process," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(3), pages 459-465, September.
    2. Hajime Yamato, 1993. "A pólya urn model with a continuum of colors," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(3), pages 453-458, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Charalambos A. Charalambides, 2007. "Distributions of Random Partitions and Their Applications," Methodology and Computing in Applied Probability, Springer, vol. 9(2), pages 163-193, June.
    2. Thierry Huillet, 2005. "Unordered and ordered sample from dirichlet distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(3), pages 597-616, September.
    3. 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.
    4. Barrera, Javiera & Huillet, Thierry, 2004. "On random splitting of the interval," Statistics & Probability Letters, Elsevier, vol. 66(3), pages 237-250, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Charalambos A. Charalambides, 2007. "Distributions of Random Partitions and Their Applications," Methodology and Computing in Applied Probability, Springer, vol. 9(2), pages 163-193, June.
    2. Davidson, Allison & D. Ward, Mark, 2018. "The characterization of tenable Pólya urns," Statistics & Probability Letters, Elsevier, vol. 135(C), pages 38-43.
    3. Nobuaki Hoshino, 2005. "On a limiting quasi-multinomial distribution," CIRJE F-Series CIRJE-F-361, CIRJE, Faculty of Economics, University of Tokyo.
    4. Masaaki Sibuya, 2014. "Prediction in Ewens–Pitman sampling formula and random samples from number partitions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 66(5), pages 833-864, October.
    5. Satoshi Chida & Naoto Miyoshi, 2011. "Limiting size index distributions for ball-bin models with Zipf-type frequencies," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 63(4), pages 745-768, August.
    6. Nobuaki Hoshino, 2012. "Random partitioning over a sparse contingency table," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(3), pages 457-474, June.
    7. Nobuaki Hoshino, 2005. "Engen's extended negative binomial model revisited," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(2), pages 369-387, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:25:y:1995:i:2:p:177-183. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.