IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v82y2012i7p1367-1373.html
   My bibliography  Save this article

Some new lower bounds to centered and wrap-round L2-discrepancies

Author

Listed:
  • Chatterjee, Kashinath
  • Li, Zhaohai
  • Qin, Hong

Abstract

We study the uniformity of two-level U-type designs based on the centered and wrap-around L2-discrepancies. Based on the known formulation of the measures of uniformity, we present some new lower bounds to centered and wrap-around L2-discrepancies, which can be used as benchmarks in searching uniform U-type designs or helping to proof that a good design is in fact uniform. Using the efficient algorithm proposed in Fang et al. (2003), some two-level uniform designs are obtained.

Suggested Citation

  • Chatterjee, Kashinath & Li, Zhaohai & Qin, Hong, 2012. "Some new lower bounds to centered and wrap-round L2-discrepancies," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1367-1373.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:7:p:1367-1373
    DOI: 10.1016/j.spl.2012.03.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715212000831
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2012.03.011?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. Kashinath Chatterjee & Kai-Tai Fang & Hong Qin, 2006. "A Lower Bound for the Centered L 2 -Discrepancy on Asymmetric Factorials and its Application," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 63(2), pages 243-255, April.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Elsawah, A.M. & Qin, Hong, 2014. "New lower bound for centered L2-discrepancy of four-level U-type designs," Statistics & Probability Letters, Elsevier, vol. 93(C), pages 65-71.
    2. Elsawah, A.M. & Qin, Hong, 2015. "A new strategy for optimal foldover two-level designs," Statistics & Probability Letters, Elsevier, vol. 103(C), pages 116-126.
    3. Elsawah, A.M. & Qin, Hong, 2015. "Lee discrepancy on symmetric three-level combined designs," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 273-280.
    4. A. M. Elsawah & Kai-Tai Fang & Ping He & Hong Qin, 2021. "Sharp lower bounds of various uniformity criteria for constructing uniform designs," Statistical Papers, Springer, vol. 62(3), pages 1461-1482, June.
    5. Siyu Pan & Jie Li & Zujun Ou & Peng Zhu, 2023. "Projection uniformity of nearly balanced designs," Statistical Papers, Springer, vol. 64(5), pages 1699-1720, October.
    6. Li, Hongyi & Chatterjee, Kashinath & Li, Bo & Qin, Hong, 2016. "Construction of Sudoku-based uniform designs with mixed levels," Statistics & Probability Letters, Elsevier, vol. 114(C), pages 111-118.
    7. Zhang, Qionghui & Wang, Zhenghong & Hu, Jianwei & Qin, Hong, 2015. "A new lower bound for wrap-around L2-discrepancy on two and three mixed level factorials," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 133-140.

    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. Yang, Xue & Yang, Gui-Jun & Su, Ya-Juan, 2018. "Uniform minimum moment aberration designs," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 26-33.
    2. Zujun Ou & Hong Qin, 2019. "Optimal foldover plans of asymmetric factorials with minimum wrap-around $$L_2$$ L 2 -discrepancy," Statistical Papers, Springer, vol. 60(5), pages 1699-1716, 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:82:y:2012:i:7:p:1367-1373. 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.