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Mixtures of power series distributions: identifiability via uniqueness in problems of moments

Lookup NU author(s): Dr Jordan Stoyanov

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Abstract

We treat the identifiability problem for mixtures involving power series distributions. Applying an idea of Sapatinas (Ann Inst Stat Math 47:447-459, 1995) we prove and elaborate that a mixture distribution is identifiable if a certain Stieltjes problem of moments has a unique solution while a non-uniqueness leads to a non- identifiable mixture. We describe explicitly models of identifiable mixtures and models of non-identifiable mixtures. Illustrative examples and comments on related questions are also given.

Publication metadata

Author(s): Stoyanov J, Lin GD

Publication type: Article

Publication status: Published

Journal: Annals of the Institute of Statistical Mathematics

Year: 2011

Volume: 63

Issue: 2

Pages: 291-303

ISSN (print): 0020-3157

ISSN (electronic): 1572-9052

Publisher: Springer

URL: http://dx.doi.org/10.1007/s10463-009-0221-9

DOI: 10.1007/s10463-009-0221-9

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