多组件应力强度可靠性分析使用反向指数雷利分布在区块自适应型II渐进混合审查和k记录下进行
1Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, 11511, Egypt. haidynewer@edu.asu.edu.eg.
Scientific reports
|December 14, 2025
概括
本研究介绍了使用区块自适应II型渐进式混合审查和上k记录的多组件应力强度可靠性的统计模型. 贝叶斯估计方法在复杂系统中的可靠性分析中被证明更准确.
科学领域:
- 可靠性工程可靠性工程
- 统计建模 统计建模
- 可能性理论概率理论.
背景情况:
- 复杂的系统需要先进的可靠性评估.
- 传统模型难以处理复杂的数据结构,例如混合审查和k记录.
- 应力强度可靠性对于系统完整性至关重要.
研究的目的:
- 为多元组件应力强度可靠性提出一个新的统计模型.
- 将集成区块自适应II型渐进式混合审查和上k记录.
- 开发和比较频率和贝叶斯估计技术.
主要方法:
- 为s-out-of-k系统制定了可靠性函数.
- 使用的频率论推理的最大概率估计.
- 通过Tierney-Kadane近似和Metropolis-Hastings算法,利用二次误差和线性指数式损失函数用于贝叶斯推理.
- 进行蒙特卡洛模拟以评估估计器性能.
主要成果:
- 与频率主义方法相比,贝叶斯估计器显示出更高的准确性 (更低的偏差和MSE).
- 对于频率主义估计,构建了异常和启动的置信区间.
- 模拟证实了这两种估计方法的性能.
结论:
- 拟议的统计模型有效评估复杂场景中的可靠性.
- 贝叶斯方法为应力强度可靠性估计提供了更高的准确性.
- 现实世界的数据分析验证了该模型的实际适用性.
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