An Inverse of the Generalized Circular Error Function

Abstract

This report describes an algorithm, INGCE, to evaluate an inverse of the generalized circular error function, GCE, also known as the elliptical normal function. Given a two-dimensional normal distribution function with mean zero and standard deviations u, v with a circular target T centered at the mean; R, the radius of T, is determined for a specified probability, P, of a shot falling in T. A Fortran 77 subroutine, INVGCE, is available that is based on INGCE, which produces K (R=Ku) to eight significant digits for 10(exp -8) less than or equal to P less than or equal to 1 - 10(exp -8) and 0 less than or equal to c = v/u less than or equal to 1. A table of K versus P and c is included. The appendix contains a 22-page table that shows the tabulation of K as a function of P and c.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2004
Accession Number
ADA468233

Entities

People

  • Armido Didonato

Organizations

  • Naval Surface Warfare Center

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Science
  • Computer Programs
  • Computer Science
  • Data Science
  • Distribution Functions
  • Information Science
  • Mathematics
  • Normal Distribution
  • Numerical Analysis
  • Operations Research
  • Probability
  • Procedures (Computers)
  • Standards
  • Statistical Functions
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Computer Programming and Software Development.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering