2018
Subtype Classification and Heterogeneous Prognosis Model Construction in Precision Medicine
You N, He S, Wang X, Zhu J, Zhang H. Subtype Classification and Heterogeneous Prognosis Model Construction in Precision Medicine. Biometrics 2018, 74: 814-822. PMID: 29359319, DOI: 10.1111/biom.12843.Peer-Reviewed Original ResearchConceptsRegularization regressionVariable selectionHigh-dimensional predictorsNecessary statistical methodsVariable selection methodsExpectation-maximization algorithmOracle propertyPenalty parameterSemiparametric modelStatistical methodsParametric modelNumerical calculationsProper choiceModel constructionSelection methodGene expression datasetsModelEstimatorSubtype-specific risk factorsRegularizerSurvival probabilityHigh-throughput technologiesExpression datasetsAlgorithmSimulations
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
2006
Asymptotics for estimation and testing procedures under loss of identifiability
Zhu H, Zhang H. Asymptotics for estimation and testing procedures under loss of identifiability. Journal Of Multivariate Analysis 2006, 97: 19-45. DOI: 10.1016/j.jmva.2004.11.005.Peer-Reviewed Original ResearchLoss of identifiabilityTrue parameter valuesParameter pointsParameter valuesDifficult statistical problemStationary ARMA processesStatistical problemsQuadratic approximationParameter estimationTrue modelARMA processesParameter spaceLarge classObjective functionTesting statisticsIdentifiabilityHellinger distanceHypothesis testingUse of modelsSpecific examplesEstimationAsymptoticsApproximationStatistical analysisEstimator
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