A Comparison of Minimum Distance and Maximum Likelihood Techniques for Proportion Estimation.

Abstract

The estimation of mixing proportions in the mixture density is often encountered in agricultural remote sensing problems in which case the mixing proportions usually represent crop proportions. In these remote sensing applications, component densities have typically been assumed to be normally distributed, and parameter estimation has been accomplished using maximum likelihood (ML) techniques. In this paper we examine minimum distance (MD) estimation as an alternative to ML where, in this investigation, both procedures are based upon normal components. Results indicate that ML techniques are superior to MD when component distributions actually are normal, while MD estimation provides better estimates than ML under symmetric departures from normality. When component distributions are not symmetric, however, it is seen that neither of these normal based techniques provides satisfactory results.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA125052

Entities

People

  • H. L. Gray
  • Hildegard Lindsey
  • Wayne A. Woodward
  • William R. Schucany

Organizations

  • Southern Methodist University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Contracts
  • Data Science
  • Distribution Functions
  • Equations
  • Estimators
  • Information Science
  • Military Research
  • Normal Distribution
  • Normality
  • Observation
  • Random Variables
  • Remote Sensing
  • Simulations
  • Statistical Analysis
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.