A note on statistical distances for discrete log-concave measures (Q6650749)
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scientific article; zbMATH DE number 7955921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on statistical distances for discrete log-concave measures |
scientific article; zbMATH DE number 7955921 |
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A note on statistical distances for discrete log-concave measures (English)
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9 December 2024
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The distribution of an integer valued random variable \(X\) is said to be log-concave if\N\[\Np(k)^2\ge p(k-1)p(k+1)\,,\N\]\Nwhere \(p(k)=P(X=k)\). The authors consider several possible distances on log-concave distributions (bounded Lipschitz, Lévy-Prokhorov, total variation, Wasserstein, divergence-like) and study their possible equivalence.
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log-concave measures
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total variation distance
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Wasserstein distance
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\(f\)-divergence
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