3 papers
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…
math.ST2022
Choice of mixture Poisson models based on Extreme value theory
Samuel Valiquette, Frédéric Mortier, Jean Peyhardi +1
Count data are omnipresent in many applied fields, often with overdispersion due to an excess of zeroes or extreme values. With mixtures of Poisson distributions representing an el…