IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v2y1984i5p285-290.html
   My bibliography  Save this article

Optimal designs for nonparametric kernel regression

Author

Listed:
  • Müller, Hans-Georg

Abstract

We consider the fixed design regression model Yi = g(ti) + [xi]i, I = 1, ..., n, where [xi]i are (not necessarily i.i.d.) no variables, ti constitute the design points where nonrepeatable measurements are to be taken and Yi are the observations from which g and its derivatives are to be estimated. The dependency of the Integrated Mean Squared Error of two different types of kernel estimates on the design {t1, ..., tn} is established. This allows the derivation of asymptotically optimal designs.

Suggested Citation

  • Müller, Hans-Georg, 1984. "Optimal designs for nonparametric kernel regression," Statistics & Probability Letters, Elsevier, vol. 2(5), pages 285-290, October.
    • Handle: RePEc:eee:stapro:v:2:y:1984:i:5:p:285-290
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(84)90066-X
    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.

    Citations

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


    Cited by:

    1. Biedermann, Stefanie & Dette, Holger, 2000. "Minimax optimal designs for nonparametric regression - a further optimality property of the uniform distribution," Technical Reports 2000,43, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. Greenwood, Allen G. & Rees, Loren Paul & Siochi, Fernando C., 1998. "An investigation of the behavior of simulation response surfaces," European Journal of Operational Research, Elsevier, vol. 110(2), pages 282-313, October.

    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:2:y:1984:i:5:p:285-290. 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: 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.