从记录数据下单元-Burr III分布的应力强度可靠性的估计
Yarong Yu1, Liang Wang1, Sanku Dey2
1School of Mathematics, Yunnan Normal University, Kunming, China.
Mathematical biosciences and engineering : MBE
|July 28, 2023
概括
本研究引入了一种新方法,用于估计应力强度可靠性 (SSR),使用单位-伯尔III分布的上记录值. 该方法为共同和不平等的参数情况提供了准确的估计.
科学领域:
- 统计 统计 统计 统计
- 可靠性工程可靠性工程
- 可能性理论概率理论.
背景情况:
- 应力强度可靠性 (SSR) 是工程和科学中的一个关键指标.
- 估计SSR通常依赖于完整或被审查的数据,不太关注记录值.
- 单元-伯尔III分布是一个灵活的模型,可用于各种可靠性环境.
研究的目的:
- 开发一种通用的推断方法来估计应力强度可靠性 (SSR).
- 为了利用单元-伯尔III分布的上方记录值进行SSR估计.
- 为强度和应力变量之间的共同和不平等参数情况提供方法.
主要方法:
- 使用单位-伯尔III分布的上限记录值.
- 为一般化点和间隔估计构建关键量.
- 使用蒙特卡洛模拟来评估方法性能.
- 为共同和不平等的参数场景开发不同的估计策略.
主要成果:
- 建议基于上方记录值的SSR的概括点和区间估计器.
- 通过广泛的模拟研究证明了方法的有效性.
- 验证了拟议技术对相同和不同的参数分布的适用性.
结论:
- 拟议的通用推断方法有效地使用上限记录值来估计应力强度可靠性.
- 这些方法对于强度和应力的常见和不均的参数分布都是可靠的.
- 该研究为在涉及记录数据的场景中进行可靠性分析提供了有价值的工具.
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