新修改的通用倒数指数分布及其应用
Zakeia A Al-Saiary1, Hana H Al-Jammaz1,2
1Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 22254, Saudi Arabia.
Entropy (Basel, Switzerland)
|February 27, 2026
概括
引入了一种新的统计模型,即新修改的通用倒数指数分布 (MGIE). 这种分布提供了有价值的统计特征和参数估计方法,用现实数据证明了这一点.
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:
- 在数据分析中需要灵活的统计分布.
- 现有分布在捕获复杂数据模式方面的局限性.
研究的目的:
- 引入和定义一种新的三参数统计模型:新修改的通用倒数指数 (MGIE) 分布.
- 推导出MGIE分布的关键统计性质,包括其量子函数,中位数,时刻,模式,平均偏差,中值,可靠性,危险和赔率函数,以及雷尼.
- 用最大概率估计方法研究MGIE分布的参数估计.
主要方法:
- 对拟议的MGIE分布的统计特征的理论推导.
- 应用最大概率估计 (MLE) 技术进行参数估计.
- 蒙特卡洛模拟研究,以评估MGIE分布参数的性能和行为.
- 使用三个真实世界的数据集进行验证.
主要成果:
- 这篇论文成功地定义了新修改的通用倒数指数 (MGIE) 分布,并得出了其全面的统计属性.
- 获得了MGIE分布参数的最大概率估计.
- 模拟结果表明了MGIE分布参数的实际行为.
- 对真实数据集的应用证实了拟议的MGIE分布的实用性和重要性.
结论:
- 新修改的通用倒数指数分布 (MGIE) 是一个统计学上健全和灵活的模型.
- 拟议的分布及其相关的估计方法对于分析现实数据是有效的.
- MGIE分布为应用研究人员的统计分布提供了一个有价值的补充.
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