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math.ST2024
Tree Pólya Splitting distributions for multivariate count data
Samuel Valiquette, Jean Peyhardi, Éric Marchand +2
In this article, we develop a new class of multivariate distributions adapted for count data, called Tree Pólya Splitting. This class results from the combination of a univariate d…
math.ST2023
Asymptotic tail properties of Poisson mixture distributions
Samuel Valiquette, Gwladys Toulemonde, Jean Peyhardi +2
Count data are omnipresent in many applied fields, often with overdispersion. With mixtures of Poisson distributions representing an elegant and appealing modelling strategy, we fo…