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Bombing Problems---A Statistical Approach II

Author

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  • Andre C. Laurent

    (Department of Mathematics, Wayne State University, Detroit)

Abstract

A continuation of “Bombing Problems, A Statistical Approach,” Opns Res , 5, 75--89 (1957), this paper studies the probability of a hit within a circle centered at a moving target (kill probability) from the viewpoint of statistical inference. The best estimate of such a probability based on results obtained in past experiments, is given when the precision of the bombing apparel is unknown and bombing is performed under already observed experimental conditions. A “predictive” probability is derived in case bombing is performed under new experimental conditions. “Dangerous” regions around the target are discussed. A method is proposed to obtain the best estimate of a hit within a fixed area when the apparent target differs from the unknown true target. Generalizations to three dimensions are outlined.

Suggested Citation

  • Andre C. Laurent, 1962. "Bombing Problems---A Statistical Approach II," Operations Research, INFORMS, vol. 10(3), pages 380-387, June.
  • Handle: RePEc:inm:oropre:v:10:y:1962:i:3:p:380-387
    DOI: 10.1287/opre.10.3.380
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    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.

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