Complete and Symmetrically Complete Families of Distributions

Avi Mandelbaum; Ludger Ruschendorf

doi:10.1214/aos/1176350502

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Home > Journals > Ann. Statist. > Volume 15 > Issue 3 > Article

September, 1987 Complete and Symmetrically Complete Families of Distributions

Avi Mandelbaum, Ludger Ruschendorf

Ann. Statist. 15(3): 1229-1244 (September, 1987). DOI: 10.1214/aos/1176350502

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Abstract

Polarization is used to unify and extend classical results concerning the completeness of generalized order statistics with dominated and nondominated distributions.

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Avi Mandelbaum. Ludger Ruschendorf. "Complete and Symmetrically Complete Families of Distributions." Ann. Statist. 15 (3) 1229 - 1244, September, 1987. https://doi.org/10.1214/aos/1176350502

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Published: September, 1987

First available in Project Euclid: 12 April 2007

MathSciNet: MR902255

zbMATH: 0644.62011

Digital Object Identifier: 10.1214/aos/1176350502

Subjects:

Primary: 62G05

Secondary: 62E10

Keywords: completeness , polarization , symmetric completeness , tensor products of Hilbert spaces , unbiased estimation

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Ann. Statist.

Vol.15 • No. 3 • September, 1987

Institute of Mathematical Statistics

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Avi Mandelbaum, Ludger Ruschendorf "Complete and Symmetrically Complete Families of Distributions," The Annals of Statistics, Ann. Statist. 15(3), 1229-1244, (September, 1987)

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