Statistical Analysis of Radial Error in Two Dimensions

Abstract

This is an expository report on the statistics used in an analysis of two-dimensional radial error (or radial miss-distance). The Rayleigh distribution is the basis of many of the estimators or formulas. The Circular Probable Error (CPE), because of its frequent use in estimating impact accuracy of weapon systems, is given prominence in the following areas: (1) Estimators for the CPE under various conditions, (2) Confidence intervals and hypothesis testing on the CPE, (3) The OC curve for the CPE, (4) Sample size problems associated with the CPE, and (5) Proportion of hits within a specified CPE circle when a bias exists. An estimator for the CPE using the Type I Asymptotic Distribution of Minimum Values (Gumbel distribution) is derived. Several numerical examples are given for various types of problems.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1978
Accession Number
ADA059117

Entities

People

  • Gideon A. Culpepper

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Artillery
  • Computations
  • Confidence Limits
  • Data Science
  • Estimators
  • Impact Point
  • Information Science
  • Miss Distance
  • Order Statistics
  • Plane Geometry
  • Probability
  • Random Variables
  • Standards
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Marksmanship and Weaponry.
  • Statistical inference.
  • Virology (or Medical Virology).