A Model for Aerial Surveillance of Moving Objects When Errors of Observation Are Multi-Variate Normal.

Abstract

This paper presents a general theorem on the invariant behavior of a certain function of a matrix. It then shows the importance of this result principally by using it to derive properties of certain maximum likelihood estimates which arise when considering problems such as the location of a moving object being surveyed from a moving observatory when all data on location are subject to stochastic error. This problem is important in tracking objects either from an observatory satellite or from a transport plane bearing ground seeking radar. Some applications to this situation are made. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA061379

Entities

People

  • Ingram Olkin
  • Sam C. Saunders

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Analytic Geometry
  • Covariance
  • Data Science
  • Equations
  • Errors
  • Information Science
  • Intervals
  • Multivariate Analysis
  • New York
  • Normal Distribution
  • Numerical Analysis
  • Observation
  • Observatories
  • Random Variables
  • Statistics
  • Surveillance
  • United States

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Sensor Fusion and Tracking Systems.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Space Objects