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.

翻译：针对单变量零膨胀计数模型的文献已有大量研究，而关于多元模型的探讨则明显不足。本文提出了两种新的简约多元模型，可用于对相关多元过度分散计数数据进行建模。此外，针对不同参数设置与样本量进行了多种模拟实验。最后，我们在两个基准数据集上验证了所提多元模型的性能，结果表明其优于多种替代方法。