Bayesian decision threshold, detection limit and confidence limits in ionising-radiation measurement.

Bayesian decision threshold, detection limit and confidence limits in ionising-radiation measurement.
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电离辐射测量中的贝叶斯决策阈值、检测限和置信限。

DOI:
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发表时间:
2006
影响因子:
1
通讯作者:
R. Michel
R. Michel
中科院分区:
环境科学与生态学4区
文献类型:
--
作者:
K. Weise;K. Hübel;E. Rose;M. Schläger;D. Schrammel;M. Täschner;R. Michel

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基于贝叶斯统计和贝叶斯测量不确定度理论,可以在考虑所有不确定源的情况下计算决策阈值、检测限和置信区间限等特征限。该方法包括根据ISO测量不确定度表达指南(GUM)对测量进行完整评估,并使用评估获得的标准不确定度连续确定特征限值。这一程序在这里详细阐述了几个特定的评估模型。然而,它是如此通用,以至于它允许对类似的测量进行大量不同的应用。建议对DIN 25482和ISO 11929中仍然基于传统统计的部分进行修订,因此,在计算特性限值时不允许完全考虑测量不确定度的所有组成部分。
Based on Bayesian statistics and the Bayesian theory of measurement uncertainty, characteristic limits such as the decision threshold, detection limit and limits of a confidence interval can be calculated taking into account all sources of uncertainty. This approach consists of the complete evaluation of a measurement according to the ISO Guide to the Expression of Uncertainty in Measurement (GUM) and the successive determination of the characteristic limits by using the standard uncertainty obtained from the evaluation. This procedure is elaborated here for several particular models of evaluation. It is, however, so general that it allows for a large variety of applications to similar measurements. It is proposed for the revision of those parts of DIN 25482 and ISO 11929 that are still based on conventional statistics and, therefore, do not allow to take completely into account all the components of measurement uncertainty in the calculation of the characteristic limits.