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arxiv: 1104.3994 · v2 · pith:5X76Y6QInew · submitted 2011-04-20 · 🧮 math.PR

Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem

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keywords edgeworth-typeexpansioncentralclassconditionsconvergencedistancedistributions
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An Edgeworth-type expansion is established for the entropy distance to the class of normal distributions of sums of i.i.d. random variables or vectors, satisfying minimal moment conditions.

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