的阿尔法动力洛马克斯分布:属性,模拟和应用程序来建模COVID-19死亡率
Ahlam H Tolba1, Abdisalam Hassan Muse2, Aisha Fayomi3
1Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt.
PloS one
|September 7, 2023
概括
我们介绍了Gull Alpha Power Lomax (GAPL) 分布,这是一个新的统计模型. 在可靠性和生存分析中,GAPL有效地模拟复杂的危险率,在医疗数据应用中显示出前景.
科学领域:
- 统计 统计 统计 统计
- 可靠性工程可靠性工程
- 生存分析的分析.
背景情况:
- 洛马克斯分布是统计分析的一个基本模型.
- 现有的分布可能无法充分捕捉复杂的危险率行为.
- 模拟单调和非单调的危险率对于可靠性和生存分析至关重要.
研究的目的:
- 为了引入一个新的统计分布,Gull Alpha Power Lomax (GAPL) 分布.
- 为了确定GAPL分布的统计属性.
- 用真实世界和模拟数据证明GAPL分布的适用性.
主要方法:
- 发展了Gull Alpha Power Lomax (GAPL) 分配的发展.
- 导出GAPL分布的关键统计特征.
- 使用最大概率方法进行参数估计.
- 对COVID-19死亡数据和模拟数据集的应用.
主要成果:
- 拟议的GAPL分布成功地模拟了单调和非单调的危险率函数.
- 确定了GAPL分布的统计特征和特殊情况.
- 最大概率估计方法提供了可靠的参数估计.
- 该分布在分析COVID-19患者死亡率数据方面表现出实用性.
结论:
- 的阿尔法动力洛马克斯 (GAPL) 分配提供了一个灵活和有效的工具,可用于可靠性工程和生存分析.
- 拟议的模型适用于分析复杂的危险率数据,包括医疗应用.
- 模拟研究表明,GAPL分布的最大概率估计器表现良好.
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