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Approximate probability distributions for the extreme spread

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  • Malcolm S. Taylor
  • Frank E. Grubbs

Abstract

The extreme spread, or greatest distance between all pairs of impact points on a target, is often used as a rapid measure of dispersion or precision of shot groups on a target. It is therefore desirable to know its statistical properties. Since the exact theoretical distribution has not yet been worked out, this paper examines the accuracy of several approximations which are checked against large sample monte carlo values. We find in particular that for the sample sizes considered the extreme spread can be approximated well by a Chi variate.

Suggested Citation

  • Malcolm S. Taylor & Frank E. Grubbs, 1975. "Approximate probability distributions for the extreme spread," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(4), pages 713-719, December.
    • Handle: RePEc:wly:navlog:v:22:y:1975:i:4:p:713-719
    DOI: 10.1002/nav.3800220407
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