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math.PR2017★ 22 cited
Fourth moment theorems on the Poisson space in any dimension
Christian Döbler, Anna Vidotto, Guangqu Zheng
We extend to any dimension the quantitative fourth moment theorem on the Poisson setting, recently proved by C. Döbler and G. Peccati (2017). In particular, by adapting the exchang…
math.PR2017
An Improved Second Order Poincaré Inequality for Functionals of Gaussian Fields
Anna Vidotto
We present an improved version of the second order Gaussian Poincaré inequality, firstly introduced in Chatterjee (2009) and Nourdin, Peccati and Reinert (2009). These novel estima…