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- W2808084227 abstract "We prove, using the Brascamp-Lieb inequality, that the Gaussian measure is the only strong log-concave measure having a strong log-concavity parameter equal to its covariance matrix. We also give a similar characterization of the Poisson measure in the discrete case, using Chebyshev's other inequality. We briefly discuss how these results relate to Stein and Stein-Chen methods for Gaussian and Poisson approximation, and to the Bakry-Emery calculus." @default.
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- W2808084227 date "2019-02-01" @default.
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- W2808084227 title "An extremal property of the normal distribution, with a discrete analog" @default.
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- W2808084227 doi "https://doi.org/10.1016/j.spl.2018.08.018" @default.
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