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Optimal transportation-entropy inequalities for several usual distributions on \(\mathbb R\) (Q1942159)

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scientific article; zbMATH DE number 6145661
Language Label Description Also known as
English
Optimal transportation-entropy inequalities for several usual distributions on \(\mathbb R\)
scientific article; zbMATH DE number 6145661

    Statements

    title
    Optimal transportation-entropy inequalities for several usual distributions on \(\mathbb R\) (English)
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    author
    Wei Liu
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    publication date
    18 March 2013
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    review text
    \textit{N. Gozlan} and \textit{C. Léonard} [Probab. Theory Relat. Fields 139, No. 1--2, 235--283 (2007; Zbl 1126.60022)] studied transportation-entropy inequalities using the large deviation approach. The author applies a similar method to give optimal transportation-entropy inequalities for the Bernoulli, Binomial, Poisson and Gamma distributions and for infinitely divisible distributions with positive or negative jumps.
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    zbMATH Keywords
    transportation-entropy inequalities
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    transportation function
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    infinitely divisible distributions
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    Identifiers

    zbMATH DE Number
    6145661
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    OpenAlex ID
    W2124027448
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