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Evaluation and Real Time Updating of Measurement Uncertainty Based on Bayesian Information Fusion |
JIANG Rui,CHEN Xiao-huai,WANG Han-bin,XIAO Ying,XU Lei,CHENG Yin-bao,CHENG Zhen-ying |
School of Instrument Science and Opto-electronic Engineering, HFUT, Hefei, Anhui 230009, China |
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Abstract Based on the principle of Bayesian information fusion and statistical inference, the dynamic evaluation model of uncertainty was established and the uncertainty of measurement results was updated in real time. The maximum entropy principle and hill-climbing algorithm were introduced to determine the prior distribution probability density function and the likelihood function of the sample information. The distribution of posterior distribution of PDF was calculated by combining the Bayes formula. And the optimal estimation of uncertainty was achieved. The case and simulation showed that the measurement uncertainty obtained by Bias and maximum entropy method was more accord with the standard requirement.
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Received: 09 October 2015
Published: 28 December 2016
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[1]余学锋.不确定度的Bayes表征与分析[J]. 计量学报,2000,21(4):314-318.
[2]张海滨,王中宇,刘智敏.测量不确定度评定的验证研究[J]. 计量学报,2007,28(3):193-197.
[3]Zanobini A, Ciani L, Pellegrini G. Quantifying the Measurement Uncertainty Using Bayesian Inference[DB].DOI: 10.1109/AMUEM.2007.4362560 Conference: Advanced Methods for Uncertainty Estimation in Measurement, 2007 IEEE International Workshop on Source: IEEE Xplore.
[4]Battistelli L, Chiodo E, Lauria D. A new methodology for uncertainty evaluation in risk assessment. Bayesian estimation of a safety index based upon extreme values[C] //International Symposium on Power Electronics, Electrical Drives, Automation & Motion. IEEE, 2008: 439 - 444.
[5]宋明顺,王伟.贝叶斯定理在合并样本方差估计中的应用[J].计量学报, 2008, 29(2):186-189.
[6]Iuculano G, Nielsen L, Zanobini A, et al. The Principle of Maximum Entropy Applied in the Evaluation of the Measurement Uncertainty[J]. IEEE Transactions on Instrumentation & Measurement, 2007, 56(3):717-722.
[7]Izbenko Y, Kovtun V, Kuznetsov A. The Design of Boolean Functions by Modified Hill Climbing Method[C]// Information Technology: New Generations, 2009. ITNG '09. Sixth International Conference on IEEE, 2009: 356-361. |
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