留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Bootstrap与变权重相结合的多模型综合预测方法

袁修开 陈斌

袁修开, 陈斌. Bootstrap与变权重相结合的多模型综合预测方法[J]. 机械科学与技术, 2018, 37(9): 1465-1471. doi: 10.13433/j.cnki.1003-8728.20180044
引用本文: 袁修开, 陈斌. Bootstrap与变权重相结合的多模型综合预测方法[J]. 机械科学与技术, 2018, 37(9): 1465-1471. doi: 10.13433/j.cnki.1003-8728.20180044
Yuan Xiukai, Chen Bin. Multi-model Comprehensive Forecasting Method Combined with Bootstrap and Variable Weight[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(9): 1465-1471. doi: 10.13433/j.cnki.1003-8728.20180044
Citation: Yuan Xiukai, Chen Bin. Multi-model Comprehensive Forecasting Method Combined with Bootstrap and Variable Weight[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(9): 1465-1471. doi: 10.13433/j.cnki.1003-8728.20180044

Bootstrap与变权重相结合的多模型综合预测方法

doi: 10.13433/j.cnki.1003-8728.20180044
基金项目: 

国家自然科学基金项目(U1530122,51505398)、航空科学基金项目(20150968003)及中央高校基本科研业务费专项资金项目(XMU,20720180072)资助

详细信息
    作者简介:

    袁修开(1981-),副教授,硕士生导师,博士,研究方向为结构可靠性理论与应用研究,xiukaiyuan@xmu.edu.cn

Multi-model Comprehensive Forecasting Method Combined with Bootstrap and Variable Weight

  • 摘要: 为了更好地估计构件的疲劳寿命,一种较好的策略是将几个合适模型进行合并预测,但传统合并预测的权重值为确定值,随着对预测精度要求的提高,变权重模型合并预测方法逐渐受到重视。但在工程中仅估计出预测结果还不足以提供充分的决策信息,进一步得到置信区间显得很有必要。本文提出一种基于Bootstrap与变权重的多模型综合置信区间预测方法,运用Bootstrap对合并数据进行再抽样,依据再抽样样本,采用变权重合并方法得到各项模型的权重函数,将各预测模型合并起来,最后通过百分位数法预测得到预测置信区间。将该方法用于工程算例中进行了验证,说明本文方法的合理性和可行性。
  • [1] Bunn D. Forecasting with more than one model[J]. Journal of Forecasting, 1989,8(3):161-166
    [2] Park I, Grandhi R V. A Bayesian statistical method for quantifying model form uncertainty and two model combination methods[J]. Reliability Engineering & System Safety, 2014,129:46-56
    [3] Vamos T. Epistemic background problems of uncertainty[C]//Proceedings of 1990 First International Symposium on Uncertainty Modeling and Analysis. College Park:IEEE, 1990:3-5
    [4] Draper D. Assessment and propagation of model uncertainty[J]. Journal of the Royal Statistical Society. Series B, 1995,57(1):45-97
    [5] Bunn D W. Combining forecasts[J]. European Journal of Operational Research, 1988,33(3):223-229
    [6] Bates J M, Grange C W J. The combination of forecasts[J]. Journal of the Operational Research Society, 1969,20(4):451-468
    [7] Spanos A. Akaike-type criteria and the reliability of inference:Model selection versus statistical model specification[J]. Journal of Econometrics, 2010,158(2):204-220
    [8] Lian H. Semiparametric bayesian information criterion for model selection in ultra-high dimensional additive models[J]. Journal of Multivariate Analysis, 2014,123:304-310
    [9] Hansen B E. Least squares model averaging[J]. Journal of the Econometric Society, 2007,75(4):1175-1189
    [10] Picard R R, Cook R D. Cross-validation of regression models[J]. Journal of the American Statistical Association, 1984,79(387):575-583
    [11] Claeskens G, Hjort N L, Hjort N L. Minimizing average risk in regression models[J]. Econometric Theory, 2008,24(2):493-527
    [12] 石凯凯,蔡力勋,包陈.预测疲劳裂纹扩展的多种理论模型研究[J].机械工程学报,2014,50(18):50-58 Shi K K, Cai L X, Bao C. Various theoretical models study of prediction fatigue crack growth[J]. Journal of Mechanical Engineering, 2014,50(18):50-58(in Chinese)
    [13] 唐小我.最优组合预测方法及其应用[J].数理统计与管理,1992,11(1):31-35 Tang X W. Variable weight combination of forecasting model[J]. Application of Statistics and Management, 1992,11(1):31-35(in Chinese)
    [14] 王福林,张晋国.变权组合预测模型中最优权系数估计问题的研究[J].系统工程理论与实践,1996,16(10):49-52 Wang F L, Zhang J G. Study on the estimation of optional weight coefficients of weight changeable combination forecast model[J]. Systems Engineering Theory & Practice, 1996,16(10):49-52(in Chinese)
    [15] Zhang C, Zhang Q. Weight changeable combination forecast method based on ACA[C]//Proceedings of 2010 IEEE 17th International Conference on Industrial Engineering and Engineering Management. Xiamen:IEEE, 2010:29-31
    [16] Efron B. Bootstrap methods:another look at the jackknife[J]. The Annals of Statistics, 1979,7(1):1-26
    [17] Efron B. Nonparametric standard errors and confidence intervals:rejoinder[J]. The Canadian Journal of Statistics, 1981,9(2):170-172
    [18] Efron B, Tibshirani R. Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy[J]. Statistical Science, 1986,1(1):54-75
    [19] Timmerman M E, Braak C J F T. Bootstrap confidence intervals for principal response curves[J]. Computational Statistics & Data Analysis, 2008,52(4):1837-1849
    [20] Davision A C, Hinkley D V. Bootstrap methods and their application[M]. Cambridge:Cambridge University Press, 1997
    [21] Park I S. Quantification of multiple types of uncertainty in physics-based simulation[D]. Dington:Wright State University, 2012
    [22] 王卫国.轮盘低循环疲劳寿命预测模型和试验评估方法研究[D].南京:南京航空航天大学,2006:102-114 WANG W G. Research on prediction model for disc LCF life and experiment assessment methodology[D]. Nanjing:Nanjing University of Aeronautics and Astronautics, 2006:102-114(in Chinese)
    [23] Han W, Wang J, Zhang X H. Application research of combined forecasting based on induced ordered weighted averaging operator[J]. Management Science and Engineering, 2014,8(3):23-26
    [24] Samuels J D, Sekkel R M. Model confidence sets and forecast combination[J]. International Journal of Forecasting, 2017,33(1):48-60
    [25] Zeng W, Yang Y, Xie H, et al. CF-Kriging surrogate model based on the combination forecasting method[J]. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 2016,230(18):3274-3284
    [26] Jiang Y, Chen X Y, Yu K, et al. Short-term wind power forecasting using hybrid method based on enhanced boosting algorithm[J]. Journal of Modern Power Systems and Clean Energy, 2017,5(1):126-133
    [27] 袁修开,吕震宙,岳珠峰.小样本下分位数函数的Bootstrap置信区间估计[J].航空学报,2012,33(10):1842-1849 Yuan X K, Lü Z Z, Yue Z F. Bootstrap confidence interval of quantile function estimation for small samples[J]. Acta Aeronautica et Astronautica Sinica, 2012,33(10):1842-1849(in Chinese)
    [28] 吕召燕,吕震宙,李贵杰,等.基于密度权重的可靠性灵敏度分析方法[J].航空学报,2014,35(1):179-186 Lü Z Y, Lü Z Z, Li G J, et al. Reliability sensitivity analysis method based on weight index of density[J]. Acta Aeronautica et Astronautica Sinica, 2014,35(1):179-186(in Chinese)
  • 加载中
计量
  • 文章访问数:  258
  • HTML全文浏览量:  24
  • PDF下载量:  53
  • 被引次数: 0
出版历程
  • 收稿日期:  2017-08-03
  • 刊出日期:  2018-09-05

目录

    /

    返回文章
    返回