Institute of Engineering, Science and Technology, Federal University of the Jequitinhonha and Mucuri Valleys, Cidade Universitária, Janaúba, Brazil.
Department of Applied Mathematics and Statistics, Institute of Mathematics and Computer Science, University of São Paulo, São Carlos, SP, Brazil.
Biom J. 2022 Mar;64(3):481-505. doi: 10.1002/bimj.202000249. Epub 2021 Nov 10.
In this paper, we present the Type I multivariate zero-inflated Conway-Maxwell-Poisson distribution, whose development is based on the extension of the Type I multivariate zero-inflated Poisson distribution. We developed important properties of the distribution and present a regression model. The AIC and BIC criteria are used to select the best fitted model. Two real data sets have been used to illustrate the proposed model. Moreover, we conclude by stating that the Type I multivariate zero-inflated Conway-Maxwell-Poisson distribution produces a better fitted model for multivariate count data with excess of zeros.
在本文中，我们提出了一类多元零膨胀 Conway-Maxwell-Poisson 分布，其发展基于对一类多元零膨胀泊松分布的扩展。我们开发了该分布的重要性质并提出了一个回归模型。AIC 和 BIC 准则用于选择最佳拟合模型。使用两个真实数据集来说明所提出的模型。此外，我们得出结论，对于多元计数数据中存在过多零的情况，一类多元零膨胀 Conway-Maxwell-Poisson 分布产生了更好的拟合模型。
