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  • Identifiability of mixtures

  • Part of
  • G. M. Tallis, P. Chesson
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 32 / Issue 3 / June 1982
    Published online by Cambridge University Press:
    09 April 2009, pp. 339-348
    Print publication:
    June 1982
    • Article
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  • Let F(x, θ) be a family of distribution functions indexed by θ ∈ Ω. If G(θ) is a distribution function on Ω H(x) = ƒohm; F(x, θ) dG(θ) is a mixture with respect to G. If there is a unique G yielding H, the mixtures is said to be identifiable.This paper summarises some known results related to identifiability of special types of mixtures and then discusses the general problem of identifiability in terms of mappings. Some new results follow for mappings with special features.