Compact probabilistic metrics on bounded closed intervals of distribution functions (Q705511)
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scientific article; zbMATH DE number 2131582
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact probabilistic metrics on bounded closed intervals of distribution functions |
scientific article; zbMATH DE number 2131582 |
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Compact probabilistic metrics on bounded closed intervals of distribution functions (English)
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31 January 2005
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The author considers the set of distribution functions and the subsets of bounded closed intervals where a structure of Menger space is defined in terms of a t-norm \(T\) which is a copula. By means of this it is shown that the associated strong uniformities are induced by the modified Lévy metric introduced by Sybley. Relations with other probabilistic metrics are studied and detailed examples are given.
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probabilistic metric space
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Menger space
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strong uniformity
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copula
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compactness
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