STATISTICAL DECOMPOSITION OF A MIXTURE OF TWO GAUSSIAN POPULATIONS,

Abstract

The problem of decomposing a population that is a mixture of two Gaussian subpopulations is approached by two statistical methods: the method of moments and the method of maximum likelihood. The density function of such a population is given. The problem of decomposing the original population is equivalent to the problem of determining the values of the parameters by which the Gaussian subpopulations are completely determined. The purpose of this report is to obtain estimates of the parameters and to investigate some statistical properties of these estimates. Computer programs which obtain solutions by the method of moments were written and successfully used on the Naval Research Electronic Computer (NAREC). On the other hand, certain difficulties arise in applying the method of maximum likelihood, but studies are in progress to obtain solutions by this method. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 29, 1965
Accession Number
AD0615314

Entities

People

  • H. Bixhorn

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Decomposition
  • Method Of Moments
  • Military Research

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • Microelectronics