In this paper, we study the zero-inflated Conway-Maxwell Poisson (ZICMP) distribution and develop a regression model. Score and likelihood ratio tests are also implemented for testing the inflation/deflation parameter. Simulation studies are carried out to examine the performance of these tests. A data example is presented to illustrate the concepts. In this example, the proposed model is compared to the well-known zero-inflated Poisson (ZIP) and the zero- inflated generalized Poisson (ZIGP) regression models. It is shown that the fit by ZICMP is comparable or better than these models.

中文翻译：

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用于分析离散数据的零膨胀康威-麦克斯韦泊松分布。

在本文中，我们研究了零膨胀康威-麦克斯韦泊松 (ZICMP) 分布并开发了一个回归模型。分数和似然比测试也用于测试通货膨胀/通货紧缩参数。进行模拟研究以检查这些测试的性能。提供了一个数据示例来说明这些概念。在此示例中，将所提出的模型与众所周知的零膨胀泊松 (ZIP) 和零膨胀广义泊松 (ZIGP) 回归模型进行了比较。结果表明，ZICMP 的拟合与这些模型相当或更好。