Evaluation of measurement uncertainty based on grey system theory for small samples from an unknown distribution

查看全文 作　　者：HAN [1,2]LianFu;TANG [1]WenYan;LIU [1]YongMeng;WANG [1]Jun;FU [2]ChangFeng

机构地区：[1]Institute of Precision Instrument,Harbin Institute of Technology;[2]School of Electronic Science,Northeast Petroleum University

出　　处：《Science China(Technological Sciences)》索引2013年第56卷第6期,共8页

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 61108052 and 61108073);the Technology Program of the Educational Office of Hei Longjiang Province in China (Grant No.11553016) 摘　　要：To evaluate measurement uncertainty for small sample size and measurement data from an unknown distribution, we propose a grey evaluation method of measurement uncertainty based on the grey relation coefficient. The uncertainty of measurement is analyzed using grey system theory, and the defects of the grey evaluation model of measurement uncertainty (GEMU) are studied. We then establish an improved grey evaluation model of measurement uncertainty (IGEMU). Simulations show that the precision of IGEMU is greater than that of GEMU, and that sample size has only a small effect on the precision of IGEVU. In particular, IGEMU is applied to evaluating measurement uncertainty for small sample size and measurement data from an unknown distribution. The measurement uncertainty of total profile deviation, which is measured by the CNC gear measuring center, can be evaluated by a combination of IGEMU and the Monte Carlo method. 关键词：测量不确定度评定灰色系统理论样本分布不确定度评估 CNC齿轮测量中心灰色评价模型样本大小灰色关联系数

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Evaluation of measurement uncertainty based on grey system theory for small samples from an unknown distribution

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