1. China Jiliang University, Hangzhou , Zhejiang 310018, China
2. National Institute of Metrology, Beijing 100029, China
3.Shenyang Aircraft Industry (Group) Co., Ltd, Shenyang, Liaoning 110850, China
4. Ningbo Institute of Metrology and Testing, Ningbo, Zhejiang 315048, China
Abstract：In order to solve the limitation problem of the classical grey assessment model of measurement uncertainty under the condition of very small sample, SMOTE technique and SVR model are introduced on the basis of analyzing the principle of the classical model. Then, an improved grey evaluation method of measurement uncertainty is proposed after applicability modification. Finally, the computer simulation data and the total temperature data from the air flow measurement of an aero-engine high-altitude simulation experiment are applied to the model to verify the reliability and generalization of the model. The results show that the improved grey method can adapt to the minimum sample size data of different distribution types with the calculation results of the range method as a reference. The maximum improvement is 41.18% in the simulation data and 50.00% in the instance data.Therefore, this improved grey method may be an effective way to solve the uncertainty evaluation of very small sample data.
Ma J W, Su A J, Zhang J R, et al. Reliability analysis for a large and complex landslide in the three gorges reservoir area (China) based on incomplete information［J］. Geomatics,Natural Hazards and Risk , 2018, 10(1): 181-196.
Zhang L. Zhou D H. Uncertainty Evaluation of Pulverized Coal Fineness of Boiler Based on Grey Model［J］. Journal of Anhui University of Technology(Natural Science), 2020, 37(4): 351-355.
Xu Y Q, Chen X L, Cao D B. Compatibility test method in minimal samples situation with two samples［J］. Acta Aeronautica et Astronautica Sinice, 2018, 39(5): 144-151.
Sun H L, Hu W W, Liu H T. An Improvement to Interval Estimation for Small Samples［J］. Journal of Harbin University of Science and Technology, 2017, 22(1): 109-113.
Guo X X, Ye S S, Gu J P, et al. Comparative Analysis on the Reliability Estimating Method for Components of the Primary Pump of the Sodium-cooled Fast Reactor with Extreme Small Scale Sample Test ［J］. Nuclear Science and Engineering. 2022, 42(3): 654-660.
Wang Y Q, Wang Z Y, Sun J Y, et al. Gray bootstrap method for estimating frequency-varying random vibration signals with small samples［J］. Chinese Journal of Aeronautics, 2014, 27(2): 383-389.
Zhang L, Zhang J J, Zhao J W, et al. Study on Evaluation Method for Dynamic Uncertainty of Explosion Temperature in Confined Space［J］. Acta Metrologica Sinica, 2020, 41(7): 801-807.
［8］
Cao L L, Cao L L, Gao L, et al. Reliability estimation for drive axle of wheel loader under extreme small sample［J］. Advances in Mechanical Engineering, 2019, 11(3): 1-12.
Huang J C, Yan T, Yao N, et al. Research on measurement uncertainty evaluation method of small sample automatic test system［J］. Computer Engineering and Applications, 2017, 53(20): 214-218.
［11］
Han L F, Tang W Y, Liu Y M, et al. Evaluation of measurement uncertainty based on grey system theory for small samples from an unknown distribution［J］. Science China (Technological Sciences), 2013, 56(6): 1517-1524.
Chen H Y, Liu J H, Sheng W M, et al. Application of SVM Based on Grey Wolf Optimizer in Measurement Error Analysis of Infrared Methane Sensor［J］. Acta Metrologica Sinica, 2021, 42(9): 1244-1249.
Wang Z Y, Ge L Y, Yang W P, et al. A Novel Measurement Uncertainty Evaluation Method for Small Sample Virtual Instrument［J］. Acta Metrologica Sinica, 2008, 116(4): 387-392.
［16］
GJB 241A—2010 航空涡轮喷气和涡轮风扇发动机通用规范. 2010.
［13］
Firza R A P, Siskarossa I O. Synthetic Minority Over-sampling Technique (SMOTE) for handling imbalanced data in poverty classification［J］. Statistical Journal of the IAOS, 2023, 39(1): 233-239.
2023, Vol. 44 
