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arxiv: 0808.3048 · v1 · submitted 2008-08-22 · 🧮 math.PR

On mean central limit theorems for stationary sequences

classification 🧮 math.PR
keywords distributionsequencesstationarycentralconditionscriteriadependencedistance
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In this paper, we give estimates of the minimal ${\mathbb{L}}^1$ distance between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions.

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