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灰色误差理论在岩矿测试数据处理中的应用

Application of Gray Error Theory in Data Processing of Rock and Mineral Analysis

  • 摘要: 介绍了灰色误差理论,并应用于岩矿测试数据基本处理。结果表明,在误差变化范围小的岩矿化学分析中,测量数据的累加曲线为线性关系,在元素不均匀性分布的岩矿化学分析(例如不均匀性金的测试)和岩石强度试验等分散性大的测试中,测量数据的累加曲线为曲线关系,但灰色标准偏差和传统统计学的标准偏差非常接近。该方法简单易行,具有相当的精度和较强的实用性,对测量数据少或难于寻求统计规律的测量过程尤为实用,是一种新的尝试。

     

    Abstract: The gray error theory and its application in data processing of rock and mineral analysis are introduced in this paper. The results show that the accumulation values of the measurement data have linear relationship with the measurement times in rock and mineral analysis in which the measurement data are in a narrow error range. And the accumulation values of the measurement data have nonlinear relationship with the measurement times in the rock and mineral analysis with uneven element distribution (such as gold analysis) and with big dispersive data (such as rock intensity tests). But the standard deviation of the gray error theory is very close to the standard deviation of the traditional statistics. The method is simple, precise and useful. It is especially practical to the measurements with few data or difficult to follow the statistic regulation.

     

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