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- W2437931470 abstract "The Poincare constant RY of a random variable Y relates the L 2 (Y )-norm of a function g and its derivative g� . Since RY − D(Y ) is positive, with equality if and only if Y is normal, it can be seen as a distance from the normal distribution. In this paper we establish the best possible rate of convergence of this distance in the central limit theorem. Furthermore, we show that RY is finite for discrete mixtures of normals, allowing us to add rates to the proof of the central limit theorem in the sense of relative entropy." @default.
- W2437931470 created "2016-06-24" @default.
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- W2437931470 date "2004-01-01" @default.
- W2437931470 modified "2023-09-26" @default.
- W2437931470 title "CONVERGENCE OF THE POINCAR ´ E CONSTANT ∗" @default.
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