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- W4287689364 abstract "Suppose that the (normalised) partial sum of a stationary sequence converges to a standard normal random variable. Given sufficiently moments, when do we have a rate of convergence of $n^{-1/2}$ in the uniform metric, in other words, when do we have the optimal Berry-Esseen bound? We study this question in a quite general framework and find the (almost) sharp dependence conditions. The result applies to many different processes and dynamical systems. As specific, prominent examples, we study functions of the doubling map 2x mod 1 and the left random walk on the general linear group." @default.
- W4287689364 created "2022-07-26" @default.
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- W4287689364 date "2020-08-13" @default.
- W4287689364 modified "2023-09-25" @default.
- W4287689364 title "A Berry-Esseen bound with (almost) sharp dependence conditions" @default.
- W4287689364 doi "https://doi.org/10.48550/arxiv.2008.07332" @default.
- W4287689364 hasPublicationYear "2020" @default.
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