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arxiv: 1709.06848 · v1 · pith:IZWZWN3Dnew · submitted 2017-09-20 · 🧮 math.PR

Berry-Esseen Bounds for typical weighted sums

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keywords boundssumsweightedberry-esseenconditionscorrelation-typedependentderive
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Under correlation-type conditions, we derive upper bounds of order $\frac{1}{\sqrt{n}}$ for the Kolmogorov distance between the distributions of weighted sums of dependent summands and the normal law.

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