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Optimal Convergence Rates and One-Term Edgeworth Expansions for Multidimensional Functionals of Gaussian Fields

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Publication:2871439
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zbMath1283.60034arXiv1305.6523MaRDI QIDQ2871439

Simon Campese

Publication date: 23 January 2014

Full work available at URL: https://arxiv.org/abs/1305.6523


zbMATH Keywords

contractionMalliavin calculusoptimalityStein's methodmultiple integralEdgeworth expansionGaussian approximation


Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Stochastic calculus of variations and the Malliavin calculus (60H07)


Related Items (6)

Stein approximation for multidimensional Poisson random measures by third cumulant expansions ⋮ An Edgeworth expansion for functionals of Gaussian fields and its applications ⋮ Unnamed Item ⋮ Optimal Berry-Esseen bound for statistical estimations and its application to SPDE ⋮ Third cumulant Stein approximation for Poisson stochastic integrals ⋮ The optimal fourth moment theorem







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