Optimal Berry-Esseen rates on the Wiener space: the barrier of third and fourth cumulants

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Submitted on : Friday, February 10, 2017 - 8:51:29 AM
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Hermine Biermé, Aline Bonami, Ivan Nourdin, Giovanni Peccati. Optimal Berry-Esseen rates on the Wiener space: the barrier of third and fourth cumulants. ALEA : Latin American Journal of Probability and Mathematical Statistics, Instituto Nacional de Matemática Pura e Aplicada, 2012, 9 (2), pp.473-500. ⟨http://alea.impa.br/articles/v9/09-20.pdf⟩. ⟨hal-01464146⟩

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