A Characterization of Identifiability of Mixtures of Distributions

A. Bach, D. Plachky and W. Thomsen
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A. Bach: Institut für Theoretische Physik I
D. Plachky: Institut für Mathematische Statistik
W. Thomsen: Institut für Mathematische Statistik

A chapter in Mathematical Statistics and Probability Theory, 1987, pp 15-21 from Springer

Abstract: Abstract A necessary and sufficient (denseness) condition is given for the identifiability of mixtures of distributions. Some examples (e.g. the identifiability of mixtures of distributions of i.i.d. random variables, of exponential family distributions, and of power series distributions) are investigated as an application.

Keywords: Probability Measure; Exponential Family; Borel Subset; Type Argument; Linear Hull (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3963-9_2

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DOI: 10.1007/978-94-009-3963-9_2

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