THE NORMAL BIVARIATE DENSITY FUNCTION AND ITS APPLICATIONS TO WEAPON SYSTEMS ANALYSIS, A REVIEW

Abstract

The normal bivariate density function is derived from a priori considerations. It is discussed in terms of probability area in a plane, and as a correlation surface. Several numerical methods of solving the normal bivariate distribution double integral are presented, and a curve is included for converting elliptical error distributions to circular probable errors. Regression and correlation coefficients are discussed. Re lative to weapons systems analysis, examples are given of uses in studying impact and location errors. Analyses of search and detection for stationary and moving objects are given specific mathematical treatment. An Appendix examines the elliptical properties of normally correlated distributions. The investigation has resulted in a reference paper for the normal bivariate density function.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 10, 1962
Accession Number
AD0412332

Entities

People

  • H. C. Sebring

Organizations

  • General Electric

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Bivariate Density Functions
  • Data Science
  • Detection
  • Differential Equations
  • Equations
  • Geometry
  • Information Science
  • Integrals
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Space Systems
  • Standards
  • Systems Analysis
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Theoretical Analysis.