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math.PR2022★ 2 cited
Moments of the negative multinomial distribution
Frédéric Ouimet
The negative multinomial distribution appears in many areas of applications such as polarimetric image processing and the analysis of longitudinal count data. In previous studies,…
math.PR2022★ 3 cited
The Gaussian product inequality conjecture for multinomial covariances
Frédéric Ouimet
In this short note, we find an equivalent combinatorial condition only involving finite sums under which a centered Gaussian random vector with multinomial covariance matrix satisf…
math.PR2022★ 10 cited
Miscellaneous results related to the Gaussian product inequality conjecture for the joint distribution of traces of Wishart matrices
Christian Genest, Frédéric Ouimet
This note reports partial results related to the Gaussian product inequality (GPI) conjecture for the joint distribution of traces of Wishart matrices. In particular, several GPI-r…