IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v147y1987i1p19-32.html
   My bibliography  Save this article

Negative binomial multiplicity distributions in continuous domains

Author

Listed:
  • Van Hove, L.

Abstract

Prompted by experimental evidence on multiplicity distributions of particles produced in high energy collisions, we study the class of distributions of points in a continuous domain D0, characterized by the property that the multiplicity of points in D0 and in any subdomain D of D0 has a negative binomial distribution. We show that a distribution of this class is completely determined by the two parameters Q1(y) = dn/dy and k(y) of the multiplicity distribution in infinitesimal neighbourhoods of all points y of D0. We prove that the distribution can be constructed by N-fold convolution of identical uncorrelated “clan” distributions, the number N of clans being itself Poisson-distributed. The clan distribution, which involves all correlations of the original distribution, is found to be very simply expressed in terms of Q1(y) and k(y).

Suggested Citation

  • Van Hove, L., 1987. "Negative binomial multiplicity distributions in continuous domains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 19-32.
    • Handle: RePEc:eee:phsmap:v:147:y:1987:i:1:p:19-32
    DOI: 10.1016/0378-4371(87)90094-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843718790094X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(87)90094-X?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Yataka Shimizu, 1964. "Appendix I-E: Wealth Surveys in Japan," NBER Chapters, in: Measuring the Nation's Wealth, pages 277-290, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    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.

      More about this item

      Statistics

      Access and download statistics

      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:phsmap:v:147:y:1987:i:1:p:19-32. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

      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.