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math.PR2012★ 4 cited
Fine Gaussian fluctuations on the Poisson space II: rescaled kernels, marked processes and geometric U-statistics
Raphael Lachieze-Rey, Giovanni Peccati
Continuing the analysis initiated in Lachiéze-Rey and Peccati (2011), we use contraction operators to study the normal approximation of random variables having the form of a U-stat…
math.PR2012
Exchangeable Hoeffding decompositions over finite sets: a characterization and counterexamples
Omar El-Dakkak, Giovanni Peccati, Igor Prünster
We study Hoeffding decomposable exchangeable sequences with values in a finite set D. We provide a new combinatorial characterization of Hoeffding decomposability and use this resu…