IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v122y2017icp157-161.html
   My bibliography  Save this article

Computation of an exact confidence set for a maximum point of a univariate polynomial function in a given interval

Author

Listed:
  • Zhou, Sanyu
  • Wan, Fang
  • Liu, Wei
  • Bretz, Frank

Abstract

Construction of a confidence set for a maximum point of a function is an important statistical problem. Wan et al. (2015) provided an exact 1−α confidence set for a maximum point of a univariate polynomial function in a given interval. In this paper, we give an efficient computational method for computing the confidence set of Wan et al. (2015). We demonstrate with two examples that the new method is substantially more efficient than the proposals by Wan et al. (2015). Matlab programs have been written which make the implementation of the new method straightforward.

Suggested Citation

  • Zhou, Sanyu & Wan, Fang & Liu, Wei & Bretz, Frank, 2017. "Computation of an exact confidence set for a maximum point of a univariate polynomial function in a given interval," Statistics & Probability Letters, Elsevier, vol. 122(C), pages 157-161.
    • Handle: RePEc:eee:stapro:v:122:y:2017:i:c:p:157-161
    DOI: 10.1016/j.spl.2016.10.032
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715216302395
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2016.10.032?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.

    References listed on IDEAS

    as
    1. Wei Liu & Pascal Ah-Kine & Sanyu Zhou, 2012. "Simultaneous Confidence Bands for Linear Regression with Covariates Constrained in Intervals," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 39(3), pages 543-553, September.
    2. Fang Wan & Wei Liu & Frank Bretz & Yang Han, 2016. "Confidence sets for optimal factor levels of a response surface," Biometrics, The International Biometric Society, vol. 72(4), pages 1285-1293, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wei Liu & Frank Bretz & Natchalee Srimaneekarn & Jianan Peng & Anthony J. Hayter, 2019. "Confidence Sets for Statistical Classification," Stats, MDPI, vol. 2(3), pages 1-15, June.
    2. Gianluca Trotta & Stefania Cacace & Quirico Semeraro, 2022. "Process optimization via confidence region: a case study from micro-injection molding," Journal of Intelligent Manufacturing, Springer, vol. 33(7), pages 2045-2057, 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:122:y:2017:i:c:p:157-161. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc 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 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.