In this paper, we study the use of the mean empirical likelihood (MEL) method in a first-order random coefficient integer-valued autoregressive model. The MEL ratio statistic is established, its limiting properties are discussed, and the confidence regions for the parameter of interest are derived. Furthermore, a simulation study is presented to demonstrate the performance of the proposed method. Finally, a real data analysis of dengue fever is performed.

中文翻译：

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基于均值经验似然法的随机系数整数自回归模型的区间估计

在本文中，我们研究了平均经验似然法（MEL）在一阶随机系数整数值自回归模型中的使用。建立了MEL比率统计量，讨论了其极限性质，并得出了感兴趣参数的置信区域。此外，进行了仿真研究，以证明所提出方法的性能。最后，对登革热进行了真实的数据分析。