一个新的灵活的指数级分布家族与生物医学数据分析
Zubir Shah1, Dost Muhammad Khan1, Sundus Hussain2
1Departmet of Statistics, Abdul Wali Khan University, Mardan, KP, 23200, Pakistan.
Heliyon
|July 8, 2024
概括
研究人员开发了一种新的灵活指数功率 (NFEP) 分布家族,用于扭曲的生物医学数据. 与现有的分布相比,NFEP-Weibull模型在适应现实世界健康数据集方面表现出卓越的性能.
科学领域:
- 生物统计学 生物统计学
- 可靠性工程可靠性工程
- 生物医学数据分析
背景情况:
- 概率分布在应用科学中至关重要,特别是在模拟偏斜的生物医学数据时.
- 现有的分布可能缺乏灵活性,无法准确地捕捉这些数据的特征.
研究的目的:
- 介绍一个新的新型灵活指数功率 (NFEP) 分布家族.
- 开发和评估一个特定的NFEP子模型,NFEP-Weibull (NFEP-Wei) 分布.
- 评估NFEP-Wei生物医学应用分配的灵活性和性能.
主要方法:
- 通过向现有分布添加一个新的参数,提出了NFEP家族.
- 导出了NFEP-Weibull分布作为一个特殊案例.
- 使用的最大概率估计 (MLE) 用于参数估计.
- 进行模拟研究以评估估计者的行为.
- 通过使用四个生物医学数据集,将NFEP-Wei与几个已建立的韦布尔变体进行了比较.
主要成果:
- NFEP-Wei分布在适应分析的生物医学数据集方面表现出卓越的表现.
- 模拟研究证实了参数估计器的可靠性.
- 拟议的NFEP家族为模拟倾斜的生命周期数据提供了更大的灵活性.
结论:
- NFEP-Wei分布是一种高效和灵活的替代方案,用于建模偏斜的生物医学数据.
- 这种新型分布家族在推进健康科学中的统计建模方面具有重大潜力.
- 这些发现表明,基于NFEP的模型可以更准确地了解生物医学现象.
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