IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v33y1997i4p367-372.html
   My bibliography  Save this article

The structure of generalized domains of semistable attraction

Author

Listed:
  • Meerschaert, Mark M.
  • Scheffler, Hans-Peter

Abstract

If An[mu]kn * [delta](an) => [nu] where [nu] is full and kn+1/kn --> c [greater-or-equal, slanted] 1, we say that [mu] belongs to the generalized domain of semistable attraction (GDOSA) of [nu]. In this paper we describe the structure of GDOSA, and we give concise necessary and sufficient conditions for a probability distribution to belong to some GDOSA.

Suggested Citation

  • Meerschaert, Mark M. & Scheffler, Hans-Peter, 1997. "The structure of generalized domains of semistable attraction," Statistics & Probability Letters, Elsevier, vol. 33(4), pages 367-372, May.
    • Handle: RePEc:eee:stapro:v:33:y:1997:i:4:p:367-372
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(96)00149-6
    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. Scheffler, H. P., 1994. "Domains of Semi-Stable Attraction of Nonnormal Semi-Stable Laws," Journal of Multivariate Analysis, Elsevier, vol. 51(2), pages 432-444, November.
    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.
    1. Scheffler, Hans-Peter, 1995. "Moments of measures attracted to operator semi-stable laws," Statistics & Probability Letters, Elsevier, vol. 24(3), pages 187-192, August.
    2. Mark M. Meerschaert & Hans-Peter Scheffler, 1997. "Spectral Decomposition for Generalized Domains of Semistable Attraction," Journal of Theoretical Probability, Springer, vol. 10(1), pages 51-71, January.

    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:33:y:1997:i:4:p:367-372. 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.