In this paper, a finite mixture of m-Erlang distributions is proposed. Different moments, shape characteristics and parameter estimates of the proposed model are also provided. The proposed mixture has the property that it has a bounded hazard function. A special case of the mixed Erlang distribution is introduced and discussed. In addition, a predictive technique is introduced to estimate the needed number of mixture components to fit a certain data. A real data concerning the confirmed COVID-19 cases in Egypt is introduced to utilize the predictive estimation technique. Two more real datasets are used to examine the flexibility of the proposed model.

中文翻译：

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Erlang 混合分布及其在埃及 COVID-19 病例中的应用

在本文中，有限混合米-二郎建议分配。还提供了所提出模型的不同矩、形状特征和参数估计。所提出的混合物具有具有有限危险函数的特性。混合的特殊情况二郎分布进行了介绍和讨论。此外，引入了一种预测技术来估计所需的混合成分数量以拟合特定数据。介绍了有关埃及确诊的 COVID-19 病例的真实数据，以利用预测估计技术。另外两个真实数据集用于检查所提出模型的灵活性。