类型II指数化半逻辑奇Burr X-G功率序列类的分布与应用程序
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Neo Dingalo1, Broderick Oluyede1, Fastel Chipepa1
1Botswana International University of Science and Technology P. Bag 16, Palapye, Botswana.
Heliyon
|December 7, 2023
概括
这项研究引入了一种新的统计模型,即II型指数化半逻辑奇Burr X-G功率序列 (TII-EHL-OBX-GPS) 分布. 它为各种领域的数据分析提供了一个灵活的新工具.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
- 数学建模的数学建模
背景情况:
- 开发新的统计分布对于准确建模复杂数据至关重要.
- 现有的分布可能无法捕捉现实世界现象中观察到的全部行为范围.
- 第二种类型的指数式半物流异常伯尔X-G家族为生成新分布提供了灵活的框架.
研究的目的:
- 引入和定义一个新的复合概率分布:II型指数化半逻辑奇偶伯尔X-G功率系列 (TII-EHL-OBX-GPS) 分布.
- 为了研究拟议的TII-EHL-OBX-GPS分布的基本数学特性.
- 通过应用和模拟研究来探索新分布的实际实用性.
主要方法:
- 对TII-EHL-OBX-GPS分布的概率密度函数 (PDF) 和累积分布函数 (CDF) 的推导.
- 使用最大概率估计 (MLE) 方法估计模型参数.
- 进行模拟实验,以评估MLE估计器的性能.
- 使用II型指数化半逻辑奇偶Burr X-Log-Logistic Poisson分布的应用程序的示例.
主要成果:
- 我们得出了TII-EHL-OBX-GPS分布的数学属性.
- 对于分布的参数,获得了最大概率估计 (MLE).
- 模拟实验证明了估计方法的有效性.
- 通过一个具体的案例研究,展示了其实际适用性.
结论:
- TII-EHL-OBX-GPS分布是统计建模工具包的一个可行和灵活的补充.
- 拟议的分布及其估计方法对于分析各种数据集是有效的.
- 该研究强调了这种新分布的进一步研究和应用的潜力.
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