Population Mixture Models and Clustering Algorithms

Abstract

The problem of clustering individuals is considered within the context of a mixture of distributions. A modification of the usual approach to population mixtures is employed. As usual, a parametric family of distributions is considered, a set of parameter values being associated with each population. In addition, with each observation is associated an identification parameter, indicating from which population the observation arose. The resulting likelihood function is interpreted in terms of the conditional probability density of a sample from a mixture of populations, given the identification parameter of each observation. Clustering algorithms are obtained by applying a method of iterated maximum likelihood to this likelihood function.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1973
Accession Number
AD0758654

Entities

People

  • Stanley L. Sclove

Organizations

  • Stanford University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Clustering
  • Contracts
  • Data Science
  • Distribution Functions
  • Factor Analysis
  • Identification
  • Information Science
  • Military Research
  • Observation
  • Probability
  • Probability Density Functions
  • Random Variables
  • Security
  • Statistical Algorithms
  • Statistical Sampling

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.
  • Molecular Photonics/Laser Physics