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
2016
Variable Selection With Prior Information for Generalized Linear Models via the Prior LASSO Method
Jiang Y, He Y, Zhang H. Variable Selection With Prior Information for Generalized Linear Models via the Prior LASSO Method. Journal Of The American Statistical Association 2016, 111: 355-376. PMID: 27217599, PMCID: PMC4874534, DOI: 10.1080/01621459.2015.1008363.Peer-Reviewed Original ResearchLeast angle regressionGeneralized linear modelPrior informationExtension of LassoLinear modelPopular statistical toolWhole solution pathAsymptotic theoryAngle regressionEstimate parametersVariable selectionSolution pathStatistical toolsCriterion functionLASSOLASSO methodReal dataSimulation resultsGreater robustnessVariables of interestMisspecificationEstimatorModelBiomedical studiesVariables
2011
Statistical Inference in Mixed Models and Analysis of Twin and Family Data
Wang X, Guo X, He M, Zhang H. Statistical Inference in Mixed Models and Analysis of Twin and Family Data. Biometrics 2011, 67: 987-995. PMID: 21306354, PMCID: PMC3129472, DOI: 10.1111/j.1541-0420.2010.01548.x.Peer-Reviewed Original ResearchConceptsStandard regularity conditionsStatistical inferenceAsymptotic distributionRegularity conditionsSufficient conditionsCholesky decompositionLikelihood ratio testComputational softwareLinear modelAdvanced theoryFamily data analysisImportant exampleRatio testFamily dataKey ideaPrecise estimatesMixed-effects modelsTheoryMixed effects modelsData setsIdentifiabilityModelEstimatesMixed modelsGeneral linear model
2004
Mixed effects multivariate adaptive splines model for the analysis of longitudinal and growth curve data
Zhang H. Mixed effects multivariate adaptive splines model for the analysis of longitudinal and growth curve data. Statistical Methods In Medical Research 2004, 13: 63-82. PMID: 14746441, DOI: 10.1191/0962280204sm353ra.Peer-Reviewed Original Research
1997
Multivariate Adaptive Splines for Analysis of Longitudinal Data
Zhang H. Multivariate Adaptive Splines for Analysis of Longitudinal Data. Journal Of Computational And Graphical Statistics 1997, 6: 74-91. DOI: 10.1080/10618600.1997.10474728.Peer-Reviewed Original ResearchSemi-parametric modelNonparametric modelLongitudinal dataMultivariate adaptive splinesGeneral time trendExistence of autocorrelationMultivariate adaptive regression splinesRandom-effects linear modelsAdaptive regression splinesAdaptive splinesCovariance estimationDesign matrixRegression splinesFast algorithmTime trendsIterative procedureGeneral algorithmLinear modelSplinesModel buildingMean curveEstimationAlgorithmData structureEssential features