一个多功能模型,用于压力下部件的寿命
Fatimah E Almuhayfith1, Talha Arslan2, Hassan S Bakouch3,4
1Department of Mathematics and Statistics, College of Science, King Faisal University, Alahsa, 31982, Saudi Arabia. falmuhaifeez@kfu.edu.sa.
Scientific reports
|November 19, 2023
概括
一个新的[公式:见文本]-单调反向韦布尔 ([公式:见文本]IW) 分布增强了组件寿命建模. 这种多功能统计模型为可靠性分析提供了比现有的分布更好的性能.
科学领域:
- 可靠性工程可靠性工程
- 统计建模 统计建模
- 可能性分布的概率分布.
背景情况:
- 在压力下部件的寿命需要强大的统计模型.
- 现有的分布可能无法完全捕捉复杂的故障模式.
- 反向韦布尔分布是可靠性的基本模型.
研究的目的:
- 介绍一个新的[公式:参见文本]-单调反向的韦布尔 ([公式:参见文本]IW) 分布.
- 调查其属性,包括子模型和限制案例.
- 评估参数估计方法及其实际适用性.
主要方法:
- 使用[公式:参见文本]单调概念开发[公式:参见文本]IW分布.
- 作为反向韦布尔分布和均分布的尺度混合体的表达.
- 通过最大概率,最大间距积和最小平方方法进行参数估计.
- 蒙特卡洛模拟用于方法效率比较.
- 适用于凯弗拉/环氧复合材料的寿命数据.
主要成果:
- [公式:见文本]IW分布包括几个已知的分布作为特殊情况.
- 最大概率估计通常在模拟中显示出优异的性能.
- [公式:见文本]IW分布在分析数据集的竞争分布中表现出优越的建模能力.
- 新增的形状参数显著提高了建模灵活性和准确性.
结论:
- [公式:参见文本] -单调反向韦布尔分布是一种灵活和有效的工具,用于终身数据分析.
- 与现有发行版相比,它在建模性能方面提供了显著的改进.
- [公式:见文本]IW分布是可靠性和生存分析的有价值的替代方案.
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