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Complete and symmetrically complete families of distributions

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Publication:1102644
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DOI10.1214/aos/1176350502zbMath0644.62011OpenAlexW2017994831MaRDI QIDQ1102644

Ludger Rüschendorf, Avishai Mandelbaum

Publication date: 1987

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176350502

zbMATH Keywords

unbiased estimationpolarizationsymmetric functionscompleteness implies symmetric completenesscompleteness of generalized order statisticstensor products of Hilbert spaces


Mathematics Subject Classification ID

Nonparametric estimation (62G05) Characterization and structure theory of statistical distributions (62E10) Complete class results in statistical decision theory (62C07)


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Partially Complete Sufficient Statistics Are Jointly Complete, Sequences of regressions and their independences, Probability distributions with summary graph structure, SEMIPARAMETRIC ESTIMATION OF RANDOM COEFFICIENTS IN STRUCTURAL ECONOMIC MODELS, Minimal sufficiency of order statistics in convex models, Completeness of location families, translated moments, and uniqueness of charges, Complete order statistics in parametric models, Inference for random sampling processes



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