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math.PR2021★ 9 cited
A combinatorial proof of the Gaussian product inequality beyond the MTP case
Christian Genest, Frédéric Ouimet
A combinatorial proof of the Gaussian product inequality (GPI) is given under the assumption that each component of a centered Gaussian random vector $\boldsymbol{X} = (X_1, \ldots…
math.PR2021★ 12 cited
General formulas for the central and non-central moments of the multinomial distribution
Frédéric Ouimet
We present the first general formulas for the central and non-central moments of the multinomial distribution, using a combinatorial argument and the factorial moments previously o…