Advanced Search
MyIDEAS: Login

Bernstein-type approximations of smooth functions

Contents:

Author Info

  • Andrea Pallini

    (Dipartimento di Statistica e Matematica Applicata all’Economia - Università di Pisa)

Registered author(s):

    Abstract

    The Bernstein-type approximation for smooth functions is proposed and studied. We propose the Bernstein-type approximation with definitions that directly apply the binomial distribution and the multivariate binomial distribution. The Bernstein-type approximations generalize the corresponding Bernstein polynomials, by considering definitions that depend on a convenient approximation coefficient in linear kernels. In the Bernstein-type approximations, we study the uniform convergence and the degree of approximation. The Bernstein-type estimators of smooth functions of population means are also proposed and studied.

    Download Info

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below under "Related research" whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Bibliographic Info

    Article provided by Department of Statistics, University of Bologna in its journal STATISTICA.

    Volume (Year): 65 (2005)
    Issue (Month): 2 ()
    Pages: 169-191

    as in new window
    Handle: RePEc:bot:rivsta:v:65:y:2005:i:2:p:169-191

    Contact details of provider:
    Postal: Via Belle Arti, 41 - Bologna
    Phone: +39 0 51 209.82.01
    Fax: +39 0 51 23.21.53
    Email:
    Web page: http://www.stat.unibo.it/
    More information through EDIRC

    Related research

    Keywords:

    References

    No references listed on IDEAS
    You can help add them by filling out this form.

    Citations

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:bot:rivsta:v:65:y:2005:i:2:p:169-191. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Michele Costa).

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.