Ahmadini Abdullah Ali H, Ahsan-Ul-Haq Muhammad, Hussain Muhammad Nasir Saddam
Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia.
College of Statistical Sciences, University of the Punjab, Lahore, Pakistan.
Heliyon. 2024 Aug 23;10(17):e36764. doi: 10.1016/j.heliyon.2024.e36764. eCollection 2024 Sep 15.
This paper focuses on the derivation of a new two-parameter discrete probability distribution. The new model is derived by mixing Poisson and Loai distributions and is named "Poisson Loai Distribution". The paper explores various mathematical properties of the new model, introducing a count-regression model based on this distribution. The parameters of the model are estimated using the maximum likelihood estimation method. A comprehensive simulation study is utilized to assess the behavior of derived estimators. The importance of the proposed distribution is confirmed through the analysis of three real datasets. It is found that the suggested distribution has the greatest match when compared to all rival distributions, and it may be a viable alternative for assessing dispersed count data.
本文着重于推导一种新的双参数离散概率分布。新模型通过混合泊松分布和洛艾分布推导得出，被命名为“泊松 - 洛艾分布”。本文探究了新模型的各种数学性质，引入了基于此分布的计数回归模型。使用最大似然估计方法估计模型参数。利用全面的模拟研究来评估推导估计量的性能。通过对三个真实数据集的分析证实了所提出分布的重要性。结果发现，与所有竞争分布相比，所建议的分布具有最佳匹配度，它可能是评估离散计数数据的一个可行替代方案。
