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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★ 2 cited
The fourth moment theorem on the Poisson space
Christian Döbler, Giovanni Peccati
We prove an exact fourth moment bound for the normal approximation of random variables belonging to the Wiener chaos of a general Poisson random measure. Such a result -- that has…