Type I multivariate Pólya-Aeppli distributions with applications

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Hauptverfasser: Geldenhuys, Claire, Ehlers, Rene, Bekker, Andriette
Format: Preprint
Veröffentlicht: 2024
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author Geldenhuys, Claire
Ehlers, Rene
Bekker, Andriette
author_facet Geldenhuys, Claire
Ehlers, Rene
Bekker, Andriette
contents An extensive body of literature exists that specifically addresses the univariate case of zero-inflated count models. In contrast, research pertaining to multivariate models is notably less developed. We proposed two new parsimonious multivariate models which can be used to model correlated multivariate overdispersed count data. Furthermore, for different parameter settings and sample sizes, various simulations are performed. In conclusion, we demonstrated the performance of the newly proposed multivariate candidates on two benchmark datasets, which surpasses that of several alternative approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2401_07221
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Type I multivariate Pólya-Aeppli distributions with applications
Geldenhuys, Claire
Ehlers, Rene
Bekker, Andriette
Methodology
Applications
An extensive body of literature exists that specifically addresses the univariate case of zero-inflated count models. In contrast, research pertaining to multivariate models is notably less developed. We proposed two new parsimonious multivariate models which can be used to model correlated multivariate overdispersed count data. Furthermore, for different parameter settings and sample sizes, various simulations are performed. In conclusion, we demonstrated the performance of the newly proposed multivariate candidates on two benchmark datasets, which surpasses that of several alternative approaches.
title Type I multivariate Pólya-Aeppli distributions with applications
topic Methodology
Applications
url https://arxiv.org/abs/2401.07221