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The Cognition of Measurement Error and Classification from the Perspective of “Stochastic Process” |
LI Bing-ying1,2,LI Yong-xin1 ,MA Yu-ming2 ,GE Fang-li1 |
1.Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China
2.Jiangsu Institute of Metrology, Nanjing, Jiangsu 210023, China |
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Abstract To points out that the measurement error has statistical characteristic when as a “stochastic process”, it has been done that to analyze the error component’s characteristic caused by different factor in “stochastic process” with the characteristic parameters such as self-correlation function and power spectrum density, and to come to the conclusion that the systematic error and random error in classical error theory should be the practical classification of this “stochastic process”. The essences of systematic error and random error are two limit cases of “self-correlation”. The systematic error is a completely positive correlation with the self-correlation coefficient equal to 1, and the random error is a completely none correlation with the self-correlation coefficient equal to 0.
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Received: 17 December 2016
Published: 11 February 2018
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