通过最大概率和非参数式启动链对光谱辐射仪的线性表征和不确定性量化
Adam L Pintar1, Zachary H Levine2, Howard W Yoon3
1Statistical Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8980 USA.
概括
本研究引入了流量加法技术的强大的不确定性量化方法,增强了放射测量仪器线性校准. 新方法确保了准确的流量和系数估计,可靠的置信区间.
科学领域:
- 计量学和科学仪器仪表技术
- 放射测量和光度测量技术
- 统计建模和数据分析数据分析
背景情况:
- 放射测量仪器需要准确的线性特征和校正来进行可靠的测量.
- 现有的技术,如流量加法 (组合技术),缺乏严格的不确定性量化.
- 仪器中的非线性响应可以显著影响测量准确性.
研究的目的:
- 开发和验证流量加法技术的严格不确定性量化方法.
- 将该方法应用于来自光束连接仪器的合成和实验数据.
- 为了能够精确校准放射测量仪器,包括估计非线性响应不确定性.
主要方法:
- 开发一种概率模型,通过多项式系数将仪器读数与未知的流量联系起来.
- 对于未知的流量和多项式系数,使用最大概率估计 (MLEs).
- 使用非参数引导算法来量化不确定性 (标准错误,置信区间).
主要成果:
- 使用合成放射测量仪器数据验证了该方法,显示了大约公正的MLEs.
- 引导式衍生的置信区间与目标的95%流量覆盖率保持一致.
- 对多项式系数的观察到的置信区间覆盖率在91%至99%之间.
- 实验数据显示完全校准与不确定性,非线性响应不确定性<0.025%.
结论:
- 开发的不确定性量化方法为流量加法技术提供了严格的框架.
- 该方法有效地描述和纠正放射测量仪器线性,具有可量化的不确定性.
- 这种方法显著提高了放射测量测量的可靠性和准确性.
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