| 基于GM(1,1)模型的小样本测量数据不确定度评定方法 |
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| 引用本文： | 赵宇.基于GM(1,1)模型的小样本测量数据不确定度评定方法[J].南京航空航天大学学报,2010,42(2). |
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| 作者姓名： | 赵宇 |
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| 作者单位： | 南京航空航天大学机电学院,南京,210016 |
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| 基金项目： | 江苏省精密与微细制造技术重点实验室开放课题基金 |
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| 摘 要： | 测量不确定度一般来源于随机性和模糊性,分为A类标准不确定度和B类标准不确定度.测量不确定度往往由统计方法或非统计方法求得标准不确定度后再合成得到.灰色系统理论对样本量没有严格要求,不要求服从任何分布.可以解决统计方法需要的一定数量测量数据且需知道其统计分布规律在实际中很难做到的问题.本文利用灰色系统理论的GM(1,1)模型给出求解标准差的新方法.以此来评定A类标准不确定度,对测量数据的数量和分布规律元特殊要求,适合小样本测量数据的不确定度评定.该方法对于提高测量效率具有重要参考价值.
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| 关 键 词： | 测量不确定度 GM(1 1)模型 评定 |
Measurement Uncertainty Evaluation of Small Sample Data Based on GM(1,1) Model |
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| Abstract: | Measurement uncertainty comes from the randomicity and the fuzziness, and consists of A type standard uncertainty and B type standard uncertainty. The measurement uncertainty can always be synthesized with some standard uncertainties evaluated by statistic methods or non-statistic ones. The method with the grey system theory can solve the problem difficult to calculate the standard uncertainty, because the amount of measurement data is great enough and the type of distribution is known. A new method is provided to give the standard deviation of measurement data. The measurement uncertainty can be evaluated with GM (1,1) model. The method is not indispensable for the great mount of data and the type of the distribution. |
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| Keywords: | measurement uncertainty GM(1 1) model evaluation |
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