IDEAS home Printed from https://ideas.repec.org/a/spr/aistmt/v66y2014i2p369-382.html
   My bibliography  Save this article

Asymptotics of the Empirical Cross-over Function

Author

Listed:
  • Karthik Bharath
  • Vladimir Pozdnyakov
  • Dipak Dey

Abstract

We consider a combination of heavily trimmed sums and sample quantiles which arises when examining properties of clustering criteria and prove limit theorems. The object of interest, which we call the Empirical Cross-over Function, is an L-statistic whose weights do not comply with the requisite regularity conditions for usage of existing limit results. The law of large numbers, CLT and a functional CLT are proven. Copyright The Institute of Statistical Mathematics, Tokyo 2014

Suggested Citation

  • Karthik Bharath & Vladimir Pozdnyakov & Dipak Dey, 2014. "Asymptotics of the Empirical Cross-over Function," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 66(2), pages 369-382, April.
    • Handle: RePEc:spr:aistmt:v:66:y:2014:i:2:p:369-382
    DOI: 10.1007/s10463-013-0423-z
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10463-013-0423-z
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10463-013-0423-z?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.

    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:spr:aistmt:v:66:y:2014:i:2:p:369-382. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.