伯尔-哈特克指数分布的新扩展,具有工程和生物医学应用
Kizito E Anyiam1, Fatimah M Alghamdi2, Chrysogonus C Nwaigwe1
1Department of Statistics, Federal University of Technology, Owerri, Nigeria.
Heliyon
|December 17, 2024
概括
一个新的Topp-Leone修改的Burr Hatke指数分布 (TL-BHE) 为复杂的工程和健康数据提供了改进的建模. 这种强大的分布显示出卓越的适合性和估计准确性,超过现有模型的性能.
科学领域:
- 统计学和概率学 统计和概率学
- 数学建模的数学建模
- 数据分析 数据分析
背景情况:
- 现有的Burr Hatke指数分布难以充分适应复杂的工程和健康数据集.
- 需要更强大,更灵活的统计分布来建模具有不同特征的当代数据.
研究的目的:
- 通过使用Topp-Leone分布家族引入一个修改的Burr Hatke指数分布.
- 为了提高Burr Hatke指数分布对复杂数据的稳定性和灵活性.
- 评估新分布及其回归模型在参数估计和数据拟合方面的性能.
主要方法:
- 使用Topp-Leone方法修改伯尔哈特克指数分布.
- 数学属性的推导和讨论,包括量子函数,时刻和.
- 使用非贝叶斯式 (ML,MPSE,LS,WLS,CVM,AD,RTAD) 和贝叶斯式方法估计模型参数.
- 基于拟议分布的回归模型的构建和评估.
主要成果:
- 拟议的托普-莱昂伯尔哈特克指数分布 (TL-BHE) 为工程和健康数据提供了更好的适合性.
- 模拟研究显示参数的偏差小,根平均平方误差,随着样本大小的增加而减少.
- TL-BHE回归模型在参数估计方面表现出效率,并且在HIV/AIDS患者的审查的CD4计数数据上表现良好.
- 在应用数据集中,TL-BHE分布的表现优于基线和其他经典分布.
结论:
- TL-BHE分布是复杂生命周期数据建模的强大而灵活的替代方案.
- 拟议的模型及其估计方法在实际场景中提供了更好的准确性和适用性.
- TL-BHE分布显示了在生物医学工程和健康科学等领域的大量使用潜力.
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