2024
Optimal and Safe Estimation for High-Dimensional Semi-Supervised Learning
Deng S, Ning Y, Zhao J, Zhang H. Optimal and Safe Estimation for High-Dimensional Semi-Supervised Learning. Journal Of The American Statistical Association 2024, ahead-of-print: 1-12. DOI: 10.1080/01621459.2023.2277409.Peer-Reviewed Original ResearchSemi-supervised estimatorConditional mean functionMean functionSupervised estimationParameters of linear modelsSemi-supervised learningRegression parametersEstimation problemLinear modelSupplementary materialsTheoretical resultsParameter estimationSemi-supervised settingUnlabeled dataLabeled dataEstimationMinimaxMisspecificationNumerical simulationsDataFunctionLearningProblemData analysis
2023
Nonparametric Statistical Inference via Metric Distribution Function in Metric Spaces
Wang X, Zhu J, Pan W, Zhu J, Zhang H. Nonparametric Statistical Inference via Metric Distribution Function in Metric Spaces. Journal Of The American Statistical Association 2023, ahead-of-print: 1-13. DOI: 10.1080/01621459.2023.2277417.Peer-Reviewed Original ResearchMetric spaceStatistical inferenceGlivenko-CantelliCorrespondence theoremEuclidean spaceGlivenko-Cantelli theoremDistribution functionNonparametric statistical inferenceDonsker propertyProbability measuresGeneral spaceRandom objectsTheoremMeasurement theorySupplementary materialsEuclideanSpaceIndependence testInferenceDonskerCorrespondenceNonparametricHypercubeMetricsFunction
2007
Perturbation selection and influence measures in local influence analysis
Zhu H, Ibrahim J, Lee S, Zhang H. Perturbation selection and influence measures in local influence analysis. The Annals Of Statistics 2007, 35: 2565-2588. DOI: 10.1214/009053607000000343.Peer-Reviewed Original ResearchInfluence measuresMetric tensorAssessing local influence of minor perturbationsLocal influence of minor perturbationsAssess local influenceLocal influence approachDifferential-geometrical frameworkAffine curvatureNormal curvatureInfluence approachMinor perturbationsPerturbation modelTensorPerturbationLinear mixed modelsLinear regression modelsCurvatureStatistical modelMixed modelsFunctionRegression models