IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v5y1957i1p75-89.html
   My bibliography  Save this article

Bombing Problems---A Statistical Approach

Author

Listed:
  • Andre G. Laurent

    (Department of Statistics, Michigan State University, East Lansing, Michigan)

Abstract

Bombing problems are studied from the viewpoint of statistical inference and from the viewpoints of the bomber and its opponent. The probability of a hit inside a circle centered at the target is given. A method is proposed to obtain the “best” estimate of the probability of a hit in a given area, with a known or unknown target, on the basis of the information given by the points of impact during a flight. The method is applied to the cases of a rectangle and of a circle centered at the (known) target. Methods of approximation for any area are given. The problem of “dangerous” and “safe” regions is discussed. A method to obtain “distribution free” safe regions is proposed and conditions to obtain “safe” regions with a given confidence level are stated. Two examples of “safe confidence regions” are given.

Suggested Citation

  • Andre G. Laurent, 1957. "Bombing Problems---A Statistical Approach," Operations Research, INFORMS, vol. 5(1), pages 75-89, February.
    • Handle: RePEc:inm:oropre:v:5:y:1957:i:1:p:75-89
    DOI: 10.1287/opre.5.1.75
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.5.1.75
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.5.1.75?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. M. Evans & Z. Govindarajulu & J. Barthoulot, 1987. "Estimates of circular error probabilities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(1), pages 87-100, 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:inm:oropre:v:5:y:1957:i:1:p:75-89. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.