The mathematical analysis for D<sub>e</sub> error calculation in the standardized growth curve （SGC） method in OSL dating

LIU Ruiyuan1; 2 LAI Zhongping3 LIU Xiangjun1 1

doi:10.11889/j.0253-3219.2013.hjs.36.030205

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The mathematical analysis for D_e error calculation in the standardized growth curve （SGC） method in OSL dating

更新时间：2021-06-03

- The mathematical analysis for D_e error calculation in the standardized growth curve （SGC） method in OSL dating
- NUCLEAR TECHNIQUES Vol. 36, Issue 3, Article number: 030205(2013)
- 作者机构：
  
  1. 中国科学院青海盐湖研究所
  2. 中国科学院大学
  3. 中国科学院寒区旱区环境与工程研究所冰冻圈科学国家重点实验室
- 作者简介：
- 基金信息：
- DOI：10.11889/j.0253-3219.2013.hjs.36.030205
  CLC： TL816.7
- Published：2013
- 稿件说明：
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[1]刘瑞元,赖忠平,刘向军.OSL测年中标准生长曲线法(SGC)求单个测片D_e误差的数学分析[J].核技术,2013,36(03):31-36.

LIU Ruiyuan1, 2 LAI Zhongping3 LIU Xiangjun1 1. The mathematical analysis for D_e error calculation in the standardized growth curve （SGC） method in OSL dating[J]. Nuclear techniques, 2013, 36(3): 030205
[1]刘瑞元,赖忠平,刘向军.OSL测年中标准生长曲线法(SGC)求单个测片D_e误差的数学分析[J].核技术,2013,36(03):31-36. DOI： 10.11889/j.0253-3219.2013.hjs.36.030205.

LIU Ruiyuan1, 2 LAI Zhongping3 LIU Xiangjun1 1. The mathematical analysis for D_e error calculation in the standardized growth curve （SGC） method in OSL dating[J]. Nuclear techniques, 2013, 36(3): 030205 DOI： 10.11889/j.0253-3219.2013.hjs.36.030205.

摘要

古剂量（DE）是光释光测年中一个重要参数

前人研究中利用标准生长曲线法（SGC）得到测量的多个单测片等效剂量值（De）作算术平均作为样品的古剂量

这由于没有考虑单个测片相应的De误差而未见由此法得到古剂量最优估计（De极大似然估计值）的计算方法。本文通过数学分析得到了由SGC法计算单个测片的De误差并计算了De极大似然估计

检验了此计算方法的可靠性并讨论了其适应性。我们发现对于同一样品的同样测片

用本文提出的计算法得到的单测片De误差与单片再生剂量法（SAR）计算的单测片De误差具有很好的一致性

也即说明了此法的可靠性;经讨论知对于同一样品的多个测片的De值分布

极大似然估计更接近于真实值

相比于其他估计法为更优的估计法

而样品De极大似然估计的一个重要参数为单个测片的De误差。

Abstract

Background: Equivalent dose（De） is one of the most important parameters in OSL dating.In the standardized growth curve（SGC） method for Dedetermination

the arithmetic average values of all Des were taken as a sample’s final De.However

without De error for each individual aliquot

it is not possible to determine the De maximum likelihood estimation value use SGC.Purpose: In this study

we try to estimate the error for each individual aliquot

and then obtain maximum likelihood estimation of a De.Methods: We found that the Deerrors by our method and the SAR method are in good agreement.Results & Conclusions: For a sample with multi-aliquot Des

the maximum likelihood estimation is more close to the actual value

and the maximum likelihood estimation method is better than other estimate methods used.

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The mathematical analysis for De error calculation in the standardized growth curve （SGC） method in OSL dating

DOI：10.11889/j.0253-3219.2013.hjs.36.030205

摘要

Abstract

关键词

Keywords

references

The mathematical analysis for D_e error calculation in the standardized growth curve （SGC） method in OSL dating