ERROR ANALYSIS BY THE COVARIANCE METHOD

Abstract

The analysis of dependent errors makes use of the concept of distribution moments and the moment matrix (covariance matrix). This paper presents an analysis of the normal bivariate and trivariate error distributions along with their relationships to the moment matrix, and the application of this concept to least squares and adjustments. It is shown that a suitable transformation of the covariance matrix yields independent errors which may be substituted for the dependent errors in further error analysis. A brief introduction to matrix properties is also included for background information.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0296892

Entities

People

  • Donald A. Richardson
  • Melvin E. Shultz

Organizations

  • Aeronautical Chart and Information Center

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computational Science
  • Coordinate Systems
  • Covariance
  • Data Science
  • Distribution Functions
  • Equations
  • Government Procurement
  • Information Science
  • Linear Algebra
  • Normal Distribution
  • Notation
  • Numbers
  • Polynomials
  • Probability
  • Square Roots
  • Statistics

Readers

  • Approximation Theory.
  • Systems Analysis and Design