IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this article

A general result on the uniform in bandwidth consistency of kernel-type function estimators

Author Info

Listed author(s):
  • David Mason

    ()

  • Jan Swanepoel
Registered author(s):

    Abstract

    We develop a general theorem to prove the uniform in bandwidth consistency of kernel-type function estimators. This method unifies the approaches in some other recent papers. We show how to apply our results to kernel distribution function estimators and the smoothed empirical process. The results are applicable to establish strong uniform consistency of data-driven bandwidth kernel-type function estimators. Copyright Sociedad de Estadística e Investigación Operativa 2011

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL: http://hdl.handle.net/10.1007/s11749-010-0188-0
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

    Article provided by Springer & Sociedad de Estadística e Investigación Operativa in its journal TEST.

    Volume (Year): 20 (2011)
    Issue (Month): 1 (May)
    Pages: 72-94

    as
    in new window

    Handle: RePEc:spr:testjl:v:20:y:2011:i:1:p:72-94
    DOI: 10.1007/s11749-010-0188-0
    Contact details of provider: Web page: http://www.springer.com

    Web page: http://www.seio.es/

    Order Information: Web: http://www.springer.com/statistics/journal/11749/PS2

    Keywords: Kernel estimation; Distribution function; Uniform in bandwidth; 60F15; 62G07; 62G08;

    Find related papers by JEL classification:

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

    as
    in new window


    1. D. Boos, 1986. "Rates of convergence for the distance between distribution function estimators," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 33(1), pages 197-202, December.
    2. Jan W. H. Swanepoel & Francois C. Van Graan, 2005. "A New Kernel Distribution Function Estimator Based on a Non-parametric Transformation of the Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 32(4), pages 551-562.
    Full references (including those not matched with items on IDEAS)

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

    as
    in new window


    Cited by:

    1. David Mason, 2012. "Proving consistency of non-standard kernel estimators," Statistical Inference for Stochastic Processes, Springer, vol. 15(2), pages 151-176, July.
    2. Paul Janssen & Jan Swanepoel & Noël Veraverbeke, 2016. "Bernstein estimation for a copula derivative with application to conditional distribution and regression functionals," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(2), pages 351-374, June.

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

    Access and download statistics

    When requesting a correction, please mention this item's handle: RePEc:spr:testjl:v:20:y:2011:i:1:p:72-94. 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: (Sonal Shukla)

    or (Rebekah McClure)

    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.

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.