IDEAS home Printed from https://ideas.repec.org/a/wly/navlog/v33y1986i3p423-429.html
   My bibliography  Save this article

A note on circular error probabilities

Author

Listed:
  • Z. Govindarajulu

Abstract

An approximation for P(X2 + Y2 ≤ K2σ21) based on an unpublished result of Kleinecke is derived, where X and Y are independent normal variables having zero means and variances σ21 and σ22 and σ1 ≥ σ2. Also, we provide asymptotic expressions for the probabilities for large values of β = K2(1 ‐ c2)/4c2 where c = σ2/σ1. These are illustrated by comparing with values tabulated by Harter [6]. Solution of K for specified P and c is also considered. The main point of this note is that simple and easily calculable approximations for P and K can be developed and there is no need for numerical evaluation of integrals.

Suggested Citation

  • Z. Govindarajulu, 1986. "A note on circular error probabilities," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(3), pages 423-429, August.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:3:p:423-429
    DOI: 10.1002/nav.3800330308
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800330308
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800330308?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
    ---><---

    Citations

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


    Cited by:

    1. Y. S. Sathe & S. M. Joshi & S. P. Nabar, 1991. "Bounds for circular error probabilities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(1), pages 33-40, February.

    More about this item

    Statistics

    Access and download statistics

    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:wly:navlog:v:33:y:1986:i:3:p:423-429. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1931-9193 .

    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.