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A Berry--Esseen Bound of Order $(1+\log n)/\sqrt n$ for Peng's Central Limit Theorem

Song, Yongsheng
arXiv (All) · Papers
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60f0560g50probability
We derive a quantitative central limit theorem under sublinear expectations from a spatial endpoint regularity estimate for the one-dimensional \(G\)-heat equation. For bounded Lipschitz initial data, the second spatial derivative and the time derivative of its solution are Lipschitz in space and \(
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