| Citation: | ZHAO Yuan, YANG Lin. Lifetime evaluation model of small sample based on Bootstrap theory[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(1): 106-112. doi: 10.13700/j.bh.1001-5965.2020.0536(in Chinese)
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This paper proposes a small sample lifetime evaluation model based on Bootstrap method for aerospace products which have the characteristics of small sample and long service life. Using B-spline function as the Bootstrap sample empirical distribution function, a random case sample with replacement is obtained. And on this basis, the lifetime evaluation model is established by using non-parametric Bootstrap method and parametric Bootstrap method respectively. Hollow cathode ignition test data are evaluated based on the proposed method, and multiple lifetime characteristic results are acquired. The results are contrastively analyzed with those concluded by conventional maximum likelihood estimation method of parameters, and it meets the need of the engineering precision, which demonstrates the engineering practicability and effectiveness of the method.
| [1] |
EFRON B. Bootstrap methods: Another look at the jackknife[M]//KOTZ S, JOHNSON N L. Breakthroughs in statistics. Berlin: Springer, 1992: 569-593.
|
| [2] |
盛骤, 谢式千, 潘承毅. 概率论与数理统计[M]. 4版. 北京: 高等教育出版社, 2010.
SHENG Z, XIE S Q, PAN C Y. Probability and mathematical statistics[M]. 4th ed. Beijing: Higher Education Press, 2010(in Chinese).
|
| [3] |
FONG W M. Time diversification under loss aversion: A Bootstrap analysis[J]. Applied Economics, 2013, 45(5): 605-610. doi: 10.1080/00036846.2011.608643
|
| [4] |
NOGUCHI K, GEL Y R, DUGUAY C R. Bootstrap-based tests for trends in hydrological time series, with application to ice phenology data[J]. Journal of Hydrology, 2011, 410(3-4): 150-161.
|
| [5] |
ÖNÖZ B, BAYAZIT M. Block Bootstrap for Mann-Kendall trend test of serially dependent data[J]. Hydrological Processes, 2012, 26(23): 3552-3560. doi: 10.1002/hyp.8438
|
| [6] |
陈文华, 李奇志, 张为鄂, 等. 产品可靠性的Bootstrap区间估计方法[J]. 机械工程学报, 2003, 39(6): 106-109. doi: 10.3321/j.issn:0577-6686.2003.06.023
CHEN W H, LI Q Z, ZHANG W E, et al. Method of Bootstrap interval estimation for product reliability[J]. Chinese Journal of Mechanical Engineering, 2003, 39(6): 106-109(in Chinese). doi: 10.3321/j.issn:0577-6686.2003.06.023
|
| [7] |
孙权, 周星, 冯静, 等. 寿命分布的参数Bootstrap拟合优度检验方法[J]. 国防科技大学学报, 2014, 36(6): 112-116. https://www.cnki.com.cn/Article/CJFDTOTAL-GFKJ201406020.htm
SUN Q, ZHOU X, FENG J, et al. Goodness-of-fit test for life distributions based on parametric Bootstrap[J]. Journal of National University of Defense Technology, 2014, 36(6): 112-116(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GFKJ201406020.htm
|
| [8] |
唐小松, 李典庆, 周创兵, 等. 基于Bootstrap方法的岩土体参数联合分布模型识别[J]. 岩土力学, 2015, 36(4): 913-922. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201504001.htm
TANG X S, LI D Q, ZHOU C B, et al. Bootstrap method for joint probability distribution identification of correlated geotechnical parameters[J]. Rock and Soil Mechanics, 2015, 36(4): 913-922(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201504001.htm
|
| [9] |
LI D Q, TANG X S, PHOON K K. Bootstrap method for characterizing the effect of uncertainty in shear strength parameters on slope reliability[J]. Reliability Engineering & System Safety, 2015, 140: 99-106.
|
| [10] |
罗巍, 张春华, 谭源源, 等. 基于Bootstrap的可修系统贮存可用度近似置信下限评估方法[J]. 兵工学报, 2010, 31(3): 391-395. https://www.cnki.com.cn/Article/CJFDTOTAL-BIGO201003022.htm
LUO W, ZHANG C H, TAN Y Y, et al. Estimating method of approximate confidence lower limits of repairable system storage availability based on Bootstrap[J]. Acta Armamentarii, 2010, 31(3): 391-395(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-BIGO201003022.htm
|
| [11] |
胡正东, 曹渊, 张士峰, 等. 特小子样试验下导弹精度评定的Bootstrap方法[J]. 系统工程与电子技术, 2008, 30(8): 1493-1497. doi: 10.3321/j.issn:1001-506X.2008.08.025
HU Z D, CAO Y, ZHANG S F, et al. Bootstrap method for missile precision evaluation under extreme small sample test[J]. Systems Engineering and Electronics, 2008, 30(8): 1493-1497(in Chinese). doi: 10.3321/j.issn:1001-506X.2008.08.025
|
| [12] |
陈亚婷. 构造分布函数的样条函数方法及其应用[D]. 合肥: 合肥工业大学, 2006.
CHEN Y T. The method of construct distribution function by spline function and its application[D]. Hefei: Hefei University of Technology, 2006(in Chinese).
|
| [13] |
陈亚婷, 朱功勤. 由样条函数构造的一类分布函数[J]. 合肥工业大学学报(自然科学版), 2006, 29(6): 790-793. doi: 10.3969/j.issn.1003-5060.2006.06.038
CHEN Y T, ZHU G Q. A kind of distribution function made by the spline function[J]. Journal of Hefei University of Technology (Natural Science), 2006, 29(6): 790-793(in Chinese). doi: 10.3969/j.issn.1003-5060.2006.06.038
|
| [14] |
赵宇. 可靠性数据分析[M]. 北京: 国防工业出版社, 2011: 141-146.
ZHAO Y. Data analysis of reliability[M]. Beijing: National Defense Industry Press, 2011: 141-146(in Chinese).
|
| [15] |
HERMAN D A, PINERO L R, SOVEY J S. NASA's evolutionary xenon thruster (NEXT) component verification testing[C]//44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. Reston: AIAA, 2008: 1-11.
|
| [16] |
杨威, 陈继巍, 贾艳辉, 等. 离子推力器空心阴极点火可靠性评价研究[J]. 真空与低温, 2015, 21(2): 96-98. https://www.cnki.com.cn/Article/CJFDTOTAL-ZKDW201502011.htm
YANG W, CHEN J W, JIA Y H, et al. Study on the evaluation of the ignition reliability for ion thruster's hollow cathode[J]. Vacuum and Cryogenics, 2015, 21(2): 96-98(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZKDW201502011.htm
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