一个新的离散分布的双参数家族
Allaeddine Haddari1, Halim Zeghdoudi2, Reza Pakyari3
1Mathematics Department, Faculty of Mathematics and Computer Science, Batna 2 University, Batna, Algeria.
Heliyon
|February 13, 2025
概括
本研究介绍了通用两参数离散分布 (GTPDD),一种新的灵活的概率分布. 它的属性和参数估计是详细的,显示其实用在现实世界的数据建模.
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:
- 离散分布是统计建模的基础.
- 现有的分布可能无法捕捉所有现实数据的复杂性.
- 需要具有可调节参数的灵活离散分布.
研究的目的:
- 介绍一个新的通用双参数离散分布 (GTPDD).
- 导出GTPDD的关键统计属性和时刻.
- 使用现实世界的数据集来证明GTPDD的适用性.
主要方法:
- 导出第 r 的因数时刻.
- 计算原始和中心时刻.
- 应用最大概率估计 (MLE) 进行参数估计.
- 分析产生动量的函数,变化系数,斜率,曲率,分散指数和危险函数.
主要成果:
- 这篇论文成功地推导出了GTPDD的时刻和其他统计特征.
- 导出最大概率估计器,并确认它们的独特性.
- 证明GTPDD可以应用于工程和生存分析的真实数据.
结论:
- 拟议的GTPDD为统计分析提供了一个灵活的新工具.
- 导出的特性和估计方法为其使用提供了坚实的基础.
- 分布在真实数据上的性能验证了它的实际实用性.
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