处理放射性同位素年代测定中 "负年龄 "和 "负原子数 "难题的统计方法

IF 1.7 2区 地球科学 Q3 GEOGRAPHY, PHYSICAL
W.-K. Hu , W. Jiang , Z.-T. Lu
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引用次数: 0

摘要

在放射性同位素测年中,原子计数或衰变计数的统计波动有时会导致非物理结果,如减去本底后的负计数或测年范围边界附近的负表观年龄。如何用统一的方法处理这些边界情况,并对年龄极限和置信区间做出正确的估计,是放射性同位素测年中的一个重要问题。在这项工作中,我们结合了用于区间估计的费尔德曼-考辛斯似然比排序法、用于从单侧限值选择一致过渡到双侧置信区间的常量法以及用于处理背景不确定性的贝叶斯法。这种数据处理方法自然消除了非物理结果。我们以 81Kr 测定和原子阱痕量分析为例,说明这种方法的优点。这种方法可以推广到其他放射性同位素和超灵敏分析技术。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A statistical method for treating the “negative-age” and “negative-atom-number” conundrums in radioisotope dating

In radioisotope dating, statistical fluctuations of atom counts or decay counts can sometimes lead to unphysical results, such as negative counts after subtracting the background or negative apparent ages near the boundaries of the dating range. How to treat these boundary cases with a unified approach and give proper estimates on age limits and confidence intervals is an important issue in radioisotope dating. In this work, we combine the Feldman-Cousins likelihood-ratio ordering method for interval estimation, a Frequentist approach to make consistent transitions from the choice of one-sided limits to two-sided confidence intervals, and a Bayesian method to treat the background uncertainties. This data treatment method naturally eliminates the unphysical results. We use 81Kr dating and Atom Trap Trace Analysis as an example to illustrate the advantages. This method can be generalized to other radioisotopes and ultra-sensitive analysis techniques.

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来源期刊
Quaternary Geochronology
Quaternary Geochronology 地学-地球化学与地球物理
CiteScore
4.40
自引率
22.20%
发文量
130
审稿时长
20 weeks
期刊介绍: Quaternary Geochronology is an international journal devoted to the publication of the highest-quality, peer-reviewed articles on all aspects of dating methods applicable to the Quaternary Period - the last 2.6 million years of Earth history. Reliable ages are fundamental to place changes in climates, landscapes, flora and fauna - including the evolution and ecological impact of humans - in their correct temporal sequence, and to understand the tempo and mode of geological and biological processes.
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