一种基于粒子过器和β分布的新型不确定性评估方法,用于未知分布的数据
Zhenying Cheng1,2, Xu Chen1,2, Liying Liu1,2
1School of Instrument Science and Opto-Electronics Engineering, Hefei University of Technology, Hefei 230009, China.
The Review of scientific instruments
|September 22, 2023
概括
本研究引入了一种使用粒子过器 (PF) 和β分布的新方法,用于测量不确定性评估,特别是对于未知或非高斯分布的数据. 该方法准确地估计了各种数据类型的不确定性,显示了良好的稳定性和与其他方法的一致性.
科学领域:
- 计量学 计量学 计量学
- 统计分析 统计分析
- 数据科学数据科学数据科学
背景情况:
- 精确的不确定性评估在计量学中至关重要.
- 现有的方法与来自未知或非高斯分布的数据作斗争.
- 对于各种不同的测量场景,需要一个强大的方法.
研究的目的:
- 提出一种用于评估未知数据分布的测量不确定性的新方法.
- 解决非高斯和不对称数据的传统方法的局限性.
- 为最佳估计和不确定性量化提供一个多功能工具.
主要方法:
- 利用具有β分布的状态空间模型来表示测量结果.
- 采用粒子过器 (PF) 方法进行参数估计,适用于非高斯数据.
- 使用衍生贝塔分布参数计算出最佳估计和不确定性.
主要成果:
- 拟议的方法准确评估测量不确定性,特别是对于非高斯和不对称数据.
- 在多种评估场景中表现出良好的稳定性.
- 激光干扰仪漂移误差的实验结果与蒙特卡洛方法一致.
结论:
- 这种新方法有效地处理未知分布的数据的测量不确定性.
- 它可以适应以贝塔分布为特征的各种分布类型.
- 该方法在各种测量环境中为最佳估计和不确定性评估提供了可靠的解决方案.
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