Tolerance Limits for the Rayleigh (Radial Normal) Distribution with Emphasis on the CEP

Abstract

Problem of estimating the radius of a mean centered circle which will include 50% of the future rounds from a particular weapon under specified conditions. If the fall of shot tends to follow a circular normal distribution with standard deviation sigma, this is usually accomplished by estimating sigma with(sigma hat) from the results of test firings and then forming CEP = 1.7774 (sigma hat). CEP, the parameter estimated, is the radius of a mean centered circle which includes 50% of the bivariate probability which, of course, is taken to mean 50% of the future rounds from this weapon under similar conditions. While CEP is a valid point estimate of the radius of the 50% circle (provided (sigma hat) is a valid estimate of sigma), it does not provide the analyst with any measure of confidence concerning his statement. (Author Modified Abstract)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1973
Accession Number
AD0759989

Entities

People

  • Audrey E. Taub
  • Gary W. Gemmill
  • John R. Crigler
  • Marlin A. Thomas

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Cartesian Coordinates
  • Circular Error Probable
  • Coordinate Systems
  • Data Science
  • Equations
  • Estimators
  • Information Science
  • Miss Distance
  • Normal Distribution
  • Probability
  • Random Variables
  • Standards
  • Statistical Analysis
  • Statistics
  • Weapon Systems
  • Weapons

Fields of Study

  • Mathematics

Readers

  • Marksmanship and Weaponry.
  • Regression Analysis.
  • Statistical inference.