Complete and symmetrically complete families of distributions (Q1102644)
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scientific article; zbMATH DE number 4050736
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete and symmetrically complete families of distributions |
scientific article; zbMATH DE number 4050736 |
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Complete and symmetrically complete families of distributions (English)
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1987
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The paper presents a variety of results of the type ``completeness implies symmetric completeness''. Symmetric completeness of order k of a family of probability measures means that the family of k th powers of the probability measures is complete for the family of symmetric functions. The key tool is a polarization lemma which is proved in the appendix of the paper.
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completeness of generalized order statistics
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unbiased estimation
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tensor products of Hilbert spaces
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completeness implies symmetric completeness
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symmetric functions
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polarization
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