The lack of covariate data is one of the hotspots of modern statistical analysis.It often appears in surveys or interviews,and becomes more complex in the presence of heavy tailed,skewed,and heteroscedastic data.In th...The lack of covariate data is one of the hotspots of modern statistical analysis.It often appears in surveys or interviews,and becomes more complex in the presence of heavy tailed,skewed,and heteroscedastic data.In this sense,a robust quantile regression method is more concerned.This paper presents an inverse weighted quantile regression method to explore the relationship between response and covariates.This method has several advantages over the naive estimator.On the one hand,it uses all available data and the missing covariates are allowed to be heavily correlated with the response;on the other hand,the estimator is uniform and asymptotically normal at all quantile levels.The effectiveness of this method is verified by simulation.Finally,in order to illustrate the effectiveness of this method,we extend it to the more general case,multivariate case and nonparametric case.展开更多
Data reconciliation is an effective technique for providing accurate and consistent value for chemical process. However, the presence of gross errors can severely bias the reconciled results. Robust estimators can sig...Data reconciliation is an effective technique for providing accurate and consistent value for chemical process. However, the presence of gross errors can severely bias the reconciled results. Robust estimators can significantly reduce the effect of gross errors and yield less-biased results. In this article, a new method is proposed to solve the robust data reconciliation problem of nonlinear chemical process. By using several technologies including linearization method, penalty function, virtual observation equation, and equivalent weights method, the robust data reconciliation problem can be transformed into least squares estimator problem which leads to the convenience in computation. Simulation results in a nonlinear chemical process demonstrate the efficiency of the proposed method.展开更多
Acoustic emission(AE)localization algorithms based on homogeneous media or single-velocity are less accurate when applied to the triaxial localization experiments.To the end,a robust triaxial localization method of AE...Acoustic emission(AE)localization algorithms based on homogeneous media or single-velocity are less accurate when applied to the triaxial localization experiments.To the end,a robust triaxial localization method of AE source using refraction path is proposed.Firstly,the control equation of the refraction path is established according to the sensor coordinates and arrival times.Secondly,considering the influence of time-difference-of-arrival(TDOA)errors,the residual of the governing equation is calculated to estimate the equation weight.Thirdly,the refraction points in different directions are solved using Snell’s law and orthogonal constraints.Finally,the source coordinates are iteratively solved by weighted correction terms.The feasibility and accuracy of the proposed method are verified by pencil-lead breaking experiments.The simulation results show that the new method is almost unaffected by the refraction ratio,and always holds more stable and accurate positioning performance than the traditional method under different ratios and scales of TDOA outliers.展开更多
当直流母线电压发生扰动或者阻性负载和阻感负载出现突加和突卸时,中频电源易出现不稳定、鲁棒性差等现象,使得输出电压效果不理想。为此,提出数字信号处理技术(Digital Signal Process,DSP)应用下串联式中频电源鲁棒性能改进方法。在...当直流母线电压发生扰动或者阻性负载和阻感负载出现突加和突卸时,中频电源易出现不稳定、鲁棒性差等现象,使得输出电压效果不理想。为此,提出数字信号处理技术(Digital Signal Process,DSP)应用下串联式中频电源鲁棒性能改进方法。在明确基于DSP的串联式中频电源主电路拓扑结构,利用混合灵敏度方法建立中频电源控制器,选取合适的加权函数,提高中频电源的跟踪能力,消除其中不确定因素,实现鲁棒性能的提升。实验结果表明,经由所提方法控制后,串联式中频电源的输出电压波形整体较为稳定,没有发生较为突出的波动,整体电源总谐波失真值小,具有优秀的稳定性和鲁棒性。展开更多
针对预测-校正内点法(predictor-corrector primal-dualinterior point method,PCPDIPM)加权最小绝对值状态估计(weighted least absolute squares,WLAV)可能发生校正方向指向错误方向的不足,提出一种基于多预测-校正内点法(multiple PC...针对预测-校正内点法(predictor-corrector primal-dualinterior point method,PCPDIPM)加权最小绝对值状态估计(weighted least absolute squares,WLAV)可能发生校正方向指向错误方向的不足,提出一种基于多预测-校正内点法(multiple PCPDIPM,MPCPDIPM)的WLAV抗差状态估计算法。该算法在PCPDIPM的基础上,通过多次校正,对中心参数动态估计,并采用2阶段线性搜索法确定校正方向在总的牛顿方向中的最优比重,从而保证迭代点向中心轨迹靠拢。最后,通过IEEE算例仿真和我国某省网的测试结果验证了所提方法的有效性。与含不良数据辨识功能的加权最小二乘状态估计相比较,所提方法的收敛速度及抗差能力具有明显的优势。展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11861042)the China Statistical Research Project(Grant No.2020LZ25)。
文摘The lack of covariate data is one of the hotspots of modern statistical analysis.It often appears in surveys or interviews,and becomes more complex in the presence of heavy tailed,skewed,and heteroscedastic data.In this sense,a robust quantile regression method is more concerned.This paper presents an inverse weighted quantile regression method to explore the relationship between response and covariates.This method has several advantages over the naive estimator.On the one hand,it uses all available data and the missing covariates are allowed to be heavily correlated with the response;on the other hand,the estimator is uniform and asymptotically normal at all quantile levels.The effectiveness of this method is verified by simulation.Finally,in order to illustrate the effectiveness of this method,we extend it to the more general case,multivariate case and nonparametric case.
基金Supported by the Funds for 0utstanding Young Researchers from the National Natural Science Foundation of China （No.60025308） and the Key Technologies R＆D Program in the National ＂10th 5-year Plan＂ （No.2001BA204B07）.
文摘Data reconciliation is an effective technique for providing accurate and consistent value for chemical process. However, the presence of gross errors can severely bias the reconciled results. Robust estimators can significantly reduce the effect of gross errors and yield less-biased results. In this article, a new method is proposed to solve the robust data reconciliation problem of nonlinear chemical process. By using several technologies including linearization method, penalty function, virtual observation equation, and equivalent weights method, the robust data reconciliation problem can be transformed into least squares estimator problem which leads to the convenience in computation. Simulation results in a nonlinear chemical process demonstrate the efficiency of the proposed method.
基金Funds for Outstanding Young Researchers from the National Natural Science Foundation of China(No.60025308) and the Key Technologies R&D Program in the National “10th 5-year Plan” (No.2001BA204B07).
基金the National Natural Science Foundation of China (Nos.52304123 and 52104077)the Postdoctoral Fellowship Program of CPSF (No.GZB20230914)+1 种基金the China Postdoctoral Science Foundation (No.2023M730412)the National Key Research and Development Program for Young Scientists (No.2021YFC2900400)。
文摘Acoustic emission(AE)localization algorithms based on homogeneous media or single-velocity are less accurate when applied to the triaxial localization experiments.To the end,a robust triaxial localization method of AE source using refraction path is proposed.Firstly,the control equation of the refraction path is established according to the sensor coordinates and arrival times.Secondly,considering the influence of time-difference-of-arrival(TDOA)errors,the residual of the governing equation is calculated to estimate the equation weight.Thirdly,the refraction points in different directions are solved using Snell’s law and orthogonal constraints.Finally,the source coordinates are iteratively solved by weighted correction terms.The feasibility and accuracy of the proposed method are verified by pencil-lead breaking experiments.The simulation results show that the new method is almost unaffected by the refraction ratio,and always holds more stable and accurate positioning performance than the traditional method under different ratios and scales of TDOA outliers.
文摘当直流母线电压发生扰动或者阻性负载和阻感负载出现突加和突卸时,中频电源易出现不稳定、鲁棒性差等现象,使得输出电压效果不理想。为此,提出数字信号处理技术(Digital Signal Process,DSP)应用下串联式中频电源鲁棒性能改进方法。在明确基于DSP的串联式中频电源主电路拓扑结构,利用混合灵敏度方法建立中频电源控制器,选取合适的加权函数,提高中频电源的跟踪能力,消除其中不确定因素,实现鲁棒性能的提升。实验结果表明,经由所提方法控制后,串联式中频电源的输出电压波形整体较为稳定,没有发生较为突出的波动,整体电源总谐波失真值小,具有优秀的稳定性和鲁棒性。
文摘针对预测-校正内点法(predictor-corrector primal-dualinterior point method,PCPDIPM)加权最小绝对值状态估计(weighted least absolute squares,WLAV)可能发生校正方向指向错误方向的不足,提出一种基于多预测-校正内点法(multiple PCPDIPM,MPCPDIPM)的WLAV抗差状态估计算法。该算法在PCPDIPM的基础上,通过多次校正,对中心参数动态估计,并采用2阶段线性搜索法确定校正方向在总的牛顿方向中的最优比重,从而保证迭代点向中心轨迹靠拢。最后,通过IEEE算例仿真和我国某省网的测试结果验证了所提方法的有效性。与含不良数据辨识功能的加权最小二乘状态估计相比较,所提方法的收敛速度及抗差能力具有明显的优势。
