测量的不确定度作为评估数学测量模型充分性的工具

A. Korobko, O. Nazarko
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摘要

本文提出了一种新的方法来估计测量不确定度指标中随机误差和系统误差对测量结果的影响。根据测定的平均误差,提出了理论数据和实验数据之间的差值比率,作为系统误差影响的定量指标。为了定量测量随机误差的影响,提出了实验数据测量中的不确定度与理论数据测量中不确定度的比值。这些指标是基于理论和实验数据正态分布的假设。理论分布在所研究参数的B型测量的总不确定度范围内。方法误差影响指标的物理本质是测量指标平均值(实验确定)的结果在该指标理论值可能偏差的范围内的概率。图-3。表1。参考文献-14。
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The Uncertainty of Measurements as a Tool for Evaluating the Adequacy of the Mathematical Measurement Model
The article offers a new way of estima-ting the influence of random and methodical errors to the result of measurement for the measurement uncertainty index. The ratio of the difference between theo-retical and experimental data is proposed from the average error of their determination for the quantitative indicator of the influence of methodical error. The ratio of the uncertainty in the measurement of experimental data to the uncertainty in measuring theoretical data for a quantitative measure of the effect of a random error is proposed. These indicators are based on the assumption that the theoretical and experimental data are normally distributed. The theoretical distribution va-ries within the total uncertainty of measurement of type B of the parameter under study. The physical essence of the indicator of the influence of the metho-dical error is the probability with which the results of measuring the average value of the indicator (determined experimentally) are within the li-mits of a possible deviation of the theoretical value of this indicator. Figure — 3. Table 1. References — 14.
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