IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v28y1989i2p204-210.html
   My bibliography  Save this article

Limit theorems arising from sequences of multinomial random vectors

Author

Listed:
  • Panganiban, Rosana L.

Abstract

Given a sequence of i.i.d. multinomial random vectors, each of the coordinates of the sum of the random vectors, multiplied by their respective indices in the sequence, is centered and normed by its conditional mean and conditional standard deviation, conditioned on the sum of the random vectors. Multivariate normal and [chi]2 limit distributions are then obtained. Further, limit distributions are determined for sequences of sums of certain diagonal affine transformations of triangular arrays of multinomial random vectors. These distributions involve those of the multivariate normal and the compound Poisson. Necessary and sufficient conditions are obtained for convergence to the multivariate normal distribution.

Suggested Citation

  • Panganiban, Rosana L., 1989. "Limit theorems arising from sequences of multinomial random vectors," Journal of Multivariate Analysis, Elsevier, vol. 28(2), pages 204-210, February.
    • Handle: RePEc:eee:jmvana:v:28:y:1989:i:2:p:204-210
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0047-259X(89)90105-X
    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.

    More about this item

    Keywords

    60F05;

    JEL classification:

    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:jmvana:v:28:y:1989:i:2:p:204-210. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.