MOMENT ESTIMATORS FOR MIXTURES OF BINOMIAL DISTRIBUTIONS

Abstract

Two aspects to the problem of estimation in dealing with mixtures of distributions are considered. The first is the question of identifiability. A distribution function F which is a probability mixture of distribution functions belonging to some family D is identifiable if F can be written in only one way as a probability mixture of elements of D. The second aspect of the estimation problem is concerned with the construction for identifiable mixtures of estimators of the parameters of the component distributions and of the mixing measure. These problems are considered for mixtures of a known finite number. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0263243

Entities

People

  • Wallace R. Blischke

Tags

DTIC Thesaurus Topics

  • Binomials
  • Construction
  • Distribution Functions
  • Estimators
  • Mathematics
  • Probability

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Combustion science or combustion engineering.
  • Regression Analysis.