对癌症数据应用奇数罗马克斯逻辑分布的应用
Benson Benedicto Kailembo1, Srinivasa Rao Gadde1, Peter Josephat Kirigiti1
1Department of Mathematics and Statistics, University of Dodoma, Dodoma, Tanzania.
Heliyon
|March 22, 2024
概括
一种新的灵活分布,即异常罗马克斯逻辑逻辑分布 (OLLLD),增强了对真实世界数据的统计建模. 这种通用分布准确地捕获了复杂的数据特征,并且在生存分析中显示出前景.
科学领域:
- 统计 统计 统计 统计
- 可能性分布的概率分布.
- 生存分析的分析.
背景情况:
- 传统的统计分布往往缺乏灵活性来捕捉复杂的现实世界数据特征.
- 将现有分布概括为提高统计建模准确性和适用性至关重要.
- 生存数据,特别是在医学研究中,往往表现出独特的模式,需要专门的分布.
研究的目的:
- 介绍和定义一种新的,灵活的通用家长分布:异常罗马克斯逻辑逻辑分布 (OLLLD).
- 导出和表达OLLLD的基本统计属性.
- 用模拟和现实世界的生存数据来评估OLLLD的参数估计和安装能力.
主要方法:
- 使用T-X分布家族对父分布的概括.
- 对新提出的OLLLD.的统计属性的明确导出.
- 使用最大概率估计 (MLE) 方法对OLLLD进行参数估计.
- 模拟研究,以评估MLE方法对OLLLD参数估计的性能.
- 在真实乳腺癌生存时间数据集上应用和评估OLLLD.
主要成果:
- 成功定义了奇数罗马克斯逻辑分布 (OLLLD),并得出了其关键的统计性质.
- 最大概率估计方法在估计OLLLD参数方面被证明是有效的,模拟研究证实了这一点.
- OLLLD在与现实世界乳腺癌存活时间数据集相配合时表现良好,表明其实际实用性.
结论:
- 拟议的Odd Lomax逻辑逻辑分布 (OLLLD) 为模拟各种数据集提供了更大的灵活性.
- OLLLD为统计分析提供了一个有价值的新工具,特别是在生存分析应用中.
- OLLLD显示了对精确建模复杂生存数据的巨大潜力,例如在医学研究中发现的复杂生存数据.
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