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韦布尔分布的新三角形变化:控制图和质量控制中的应用
Mohammed Ahmed Alomair1, Zubair Ahmad2, Gadde Srinivasa Rao3
1Department of Quantitative Methods, School of Business, King Faisal University, Al-Ahsa, Saudi Arabia.
PloS one
|July 12, 2023
概括
研究人员介绍了一种新的三角形维布尔模型,即I型共弦指数维布尔 (TICE-Weibull) 分布. 这种新的统计模型增强了质量控制的控制图表,在现实应用中展示了更好的性能.
科学领域:
- 概率理论的概率理论是什么
- 统计建模 统计建模
- 质量控制 质量控制
背景情况:
- 概率模型的三角形扩展正在引起人们的注意.
- 现有的韦布尔模型缺乏三角函数的增强.
- 在控制图中,使用基于等号函数的概率模型存在研究缺口.
研究的目的:
- 介绍一种新的三角形维布尔分布,即I型指数维布尔分布 (TICE-Weibull).
- 为TICE-Weibull模型推导可识别性质和最大概率估计器.
- 开发和评估基于TICE-Weibull的属性控制图表,用于时间截止寿命测试.
主要方法:
- 开发了TICE-韦布尔概率分布.
- 适用于参数估计的最大概率估计.
- 在属性控制图表中实施了TICE-Weibull模型,用于时间截断的数据.
- 使用平均运行长度 (ARL) 指标分析性能.
- 为各种参数提供转移和样本大小的表格.
主要成果:
- 我们成功地导出了TICE-Weibull分布及其属性.
- 对新分布实施了最大概率估计器.
- 在现实世界应用中,TICE-Weibull模型证明了其有效性.
- 开发的属性控制图表显示了基于ARL分析的优势.
- 数字示例证实了新的控制图表的性能.
结论:
- 泰斯-韦布尔分布为韦布尔模型提供了一个新的三角形扩展.
- 拟议的控制图表提供了一个有效的工具,用于质量控制的时间缩短寿命测试.
- 这项工作通过在控制图表开发中引入基于等号函数的概率模型来解决一个研究缺口.
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