2024
TENSOR QUANTILE REGRESSION WITH LOW-RANK TENSOR TRAIN ESTIMATION.
Liu Z, Lee C, Zhang H. TENSOR QUANTILE REGRESSION WITH LOW-RANK TENSOR TRAIN ESTIMATION. The Annals Of Applied Statistics 2024, 18: 1294-1318. PMID: 38682044, PMCID: PMC11046526, DOI: 10.1214/23-aoas1835.Peer-Reviewed Original ResearchTensor trainCoefficient tensorRate of convergenceLow-rankQuantile regression frameworkApproximation-based methodVariation penaltyHuman intelligenceQuantile regression modelEstimation algorithmMRI image dataAsymptotic normalityArray of imagesScalar outcomeEmpirical performanceImage dataTrained estimatorDimensionalityNumerical studyMagnetic resonance imaging imagesQuantile regressionTensorRegression frameworkTT estimationImages
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