81 citations · 137 across the 20 of their papers we have counts for
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A generalized Isserlis theorem for location mixtures of Gaussian random vectors
C. Vignat
In a recent paper, Michalowicz et al. provide an extension of Isserlis theorem to the case of a Bernoulli location mixture of a Gaussian vector. We extend here this result to the c…
About sum rules for Gould-Hopper polynomials
O. Lévêque, C. Vignat
We show that various identities from [1] and [3] involving Gould-Hopper polynomials can be deduced from the real but also complex orthogonal invariance of multivariate Gaussian dis…
Lower bounds on Information Divergence
Peter Harremoës, Christophe Vignat
In this paper we establish lower bounds on information divergence from a distribution to certain important classes of distributions as Gaussian, exponential, Gamma, Poisson, geomet…
Some nonlinear functions of Bernoulli and Euler umbrae
C. Vignat
In a recent paper, Yi-Ping Yu has given some interesting nonlinear moments of the Bernoulli umbra; the aim of this paper is to show the probabilistic counterpart of these results a…