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
2007
Statistical Analysis of Diffusion Tensors in Diffusion-Weighted Magnetic Resonance Imaging Data
Zhu H, Zhang H, Ibrahim J, Peterson B. Statistical Analysis of Diffusion Tensors in Diffusion-Weighted Magnetic Resonance Imaging Data. Journal Of The American Statistical Association 2007, 102: 1085-1102. DOI: 10.1198/016214507000000581.Peer-Reviewed Original Research
2006
Generalized score test of homogeneity for mixed effects models
Zhu H, Zhang H. Generalized score test of homogeneity for mixed effects models. The Annals Of Statistics 2006, 34: 1545-1569. DOI: 10.1214/009053606000000380.Peer-Reviewed Original ResearchTest statisticsAsymptotic distributionRandom quadratic formsGeneralized score testQuadratic formInvariance principleScore testTest of homogeneityLatent variable modelsSimulation studyResampling procedureRestrictive assumptionsEmpirical performanceHomogeneity hypothesisTheoretical resultsVariance componentsVariable modelTest procedureBiomedical studiesMild conditionsInvarianceOverdispersionImportant problemsAssumptionsObservational data
2003
Hypothesis testing in mixture regression models
Zhu H, Zhang H. Hypothesis testing in mixture regression models. Journal Of The Royal Statistical Society Series B (Statistical Methodology) 2003, 66: 3-16. DOI: 10.1046/j.1369-7412.2003.05379.x.Peer-Reviewed Original ResearchMixture regression modelLikelihood estimatorTest statisticLog-likelihood ratio test statisticOptimal convergence ratesMaximum likelihoodRatio test statisticAsymptotic theoryReal data setsAsymptotic distributionConvergence rateTheoretical resultsEmpirical performanceReasonable conditionsSimulation studyHypothesis testingEstimatorStatisticsData setsRegression modelsModelTheoryDistribution