Comparison of CEP (Circular Probable Error) Estimators for Elliptical Normal Errors

Abstract

A common parameter for describing the accuracy of a weapon is the circular probable error, generally refer red to as CEP. CEP is simply the bivariate analog of the probable error of a single variable and measures the radius of a mean centered circle which includes 50% of the bivariate probability mass. In the case of circular normal errors where the error variances are the same in both directions, CEP can be expressed in terms of the common standard deviation, and estimators are easily formulated and compared. In the case of elliptical normal errors, CEP cannot be expressed in closed form, and hence, estimators are less easily formulated. The problem addressed herein is the comparison of CEP estimators for the elliptical case based on some of the commonly used CEP approximations.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1983
Accession Number
ADP001580

Entities

People

  • Audrey E. Taub
  • Marlin A. Thomas

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Computations
  • Confidence Limits
  • Data Science
  • Distribution Functions
  • Eccentricity
  • Errors
  • Estimators
  • Experimental Design
  • Information Science
  • Intervals
  • Military Research
  • Monte Carlo Method
  • Sampling
  • Standards
  • Statistical Algorithms

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Inertial Navigation Systems.
  • Statistical inference.