2022
Variance estimation and confidence intervals from genome-wide association studies through high-dimensional misspecified mixed model analysis
Dao C, Jiang J, Paul D, Zhao H. Variance estimation and confidence intervals from genome-wide association studies through high-dimensional misspecified mixed model analysis. Journal Of Statistical Planning And Inference 2022, 220: 15-23. PMID: 37089275, PMCID: PMC10121196, DOI: 10.1016/j.jspi.2022.01.003.Peer-Reviewed Original Research
2017
Graphical model selection with latent variables
Wu C, Zhao H, Fang H, Deng M. Graphical model selection with latent variables. Electronic Journal Of Statistics 2017, 11: 3485-3521. DOI: 10.1214/17-ejs1331.Peer-Reviewed Original ResearchGraphical model selectionModel selection consistencyEfficient ADMM algorithmSparse precision matrixGraphical modelsGaussian graphical modelsGenetical genomics dataSelection consistencyPenalized estimationStatistical inferencePrecision matrixLatent variablesParameter estimationTheoretical propertiesIdentifiability conditionsADMM algorithmModel selectionSimulation studyConditional dependenceEstimationTrace lossSuperior performanceEstimatorGraphVariables
2016
On high-dimensional misspecified mixed model analysis in genome-wide association study
Jiang J, Li C, Paul D, Yang C, Zhao H. On high-dimensional misspecified mixed model analysis in genome-wide association study. The Annals Of Statistics 2016, 44: 2127-2160. DOI: 10.1214/15-aos1421.Peer-Reviewed Original ResearchREML estimatorsAsymptotic resultsAsymptotic conditional varianceReal data applicationRandom effectsMaximum likelihood estimatorExtensive simulation studyAsymptotic analysisConvergence rateLikelihood estimatorLinear mixed modelsEstimatorSimulation studyConvergenceData applicationsTrue varianceConditional varianceImportant genetic implicationsCertain limitsOn an additive partial correlation operator and nonparametric estimation of graphical models
Lee KY, Li B, Zhao H. On an additive partial correlation operator and nonparametric estimation of graphical models. Biometrika 2016, 103: 513-530. PMID: 29422689, PMCID: PMC5793672, DOI: 10.1093/biomet/asw028.Peer-Reviewed Original Research