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Mixture Distributions: Course Outline

In probability and statistics, a mixture distribution is the probability distribution of a random variable that is derived from a collection of other random variables as follows: first, a random variable is selected by chance from the collection according


Course Outline

  • Statistical Applications. 
  • Mathematical aspects.
  • Identifiability.
  • Multimodality.
  • Negative mixing weights. 
  • General properties.
  • Estimating mixing parameters. 
  • Graphical methods.
  • Method of moments. 
  • Maximum likelihood. 
  • Bayesian.
  • Minimum distance of distribution functions. 
  • Minimum distance of transforms and numerical decomposition of mixtures.
  • Modality: structure and assessment.
  • Sequential problems and procedures: unsupervised learning problems.
  • Approximate solutions for: mixing parameters.
  • Component distribution parameters.