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An application of classical invariant theory to identifiability in nonparametric mixtures. (English) Zbl 1137.62035
Summary: It is known that the identifiability of multivariate mixtures reduces to a question in algebraic geometry. We solve the question by studying certain generators in the ring of polynomials in vector variables, invariant under the action of the symmetric group.

MSC:
62H12 Estimation in multivariate analysis
62G07 Density estimation
13A50 Actions of groups on commutative rings; invariant theory
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