IDEAS home Printed from https://ideas.repec.org/a/bla/stanee/v50y1996i2p261-280.html
   My bibliography  Save this article

Functional laws of the iterated logarithm for small increments of empirical processes

Author

Listed:
  • P. Deheuvels

Abstract

Let F, denote the uniform empirical distribution based on the first n ≥ 1 observations from an i.i.d. sequence of uniform (0, 1) random variables. We describe the almost sure limiting behavior of the sets of increment functions {Fn(t + hn.) ‐ Fn(t): 0 ≤t ≤ 1 ‐ hn}, when {hn: n ≥ 1) is a nonincreasing sequence of constants such that nhn/log n ← 0.

Suggested Citation

  • P. Deheuvels, 1996. "Functional laws of the iterated logarithm for small increments of empirical processes," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 50(2), pages 261-280, July.
  • Handle: RePEc:bla:stanee:v:50:y:1996:i:2:p:261-280
    DOI: 10.1111/j.1467-9574.1996.tb01493.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9574.1996.tb01493.x
    Download Restriction: no

    File URL: https://libkey.io/10.1111/j.1467-9574.1996.tb01493.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
    ---><---

    Citations

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


    Cited by:

    1. Dindar, Zacharie, 2003. "Some more results on increments of the partially observed empirical process," Statistics & Probability Letters, Elsevier, vol. 64(1), pages 25-37, August.
    2. Djamal Louani & Alain Lucas, 2003. "Fractal Dimensions for Some Increments of the Uniform Empirical Process," Journal of Theoretical Probability, Springer, vol. 16(1), pages 59-86, January.
    3. Einmahl, J.H.J. & Deheuvels, P., 2000. "Functional limit laws for the increments of Kaplan-Meier product-limit processes and applications," Other publications TiSEM ac9bbdc0-62f8-4b48-9a84-1, Tilburg University, School of Economics and Management.

    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:bla:stanee:v:50:y:1996:i:2:p:261-280. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0039-0402 .

    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.