2023
Nonparametric Statistical Inference via Metric Distribution Function in Metric Spaces
Wang X, Zhu J, Pan W, Zhu J, Zhang H. Nonparametric Statistical Inference via Metric Distribution Function in Metric Spaces. Journal Of The American Statistical Association 2023, ahead-of-print: 1-13. DOI: 10.1080/01621459.2023.2277417.Peer-Reviewed Original ResearchMetric spaceStatistical inferenceGlivenko-CantelliCorrespondence theoremEuclidean spaceGlivenko-Cantelli theoremDistribution functionNonparametric statistical inferenceDonsker propertyProbability measuresGeneral spaceRandom objectsTheoremMeasurement theorySupplementary materialsEuclideanSpaceIndependence testInferenceDonskerCorrespondenceNonparametricHypercubeMetricsFunction
2018
Modeling hybrid traits for comorbidity and genetic studies of alcohol and nicotine co-dependence
Zhang H, Liu D, Zhao J, Bi X. Modeling hybrid traits for comorbidity and genetic studies of alcohol and nicotine co-dependence. The Annals Of Applied Statistics 2018, 12: 2359-2378. PMID: 30666272, PMCID: PMC6338437, DOI: 10.1214/18-aoas1156.Peer-Reviewed Original ResearchFull likelihoodComplicated likelihood functionsParametric frameworkParametric modeling frameworkHigh computational complexityExtensive simulation studyModel fitting algorithmStatistical inferenceRank-based methodLikelihood functionComputational burdenType I error ratesComputational complexityFitting algorithmSimulation studyNovel multivariate modelModeling frameworkEffect size estimationLatent variablesHybrid modelInferenceSize estimationModelFrameworkTheory
2015
Conditional Distance Correlation
Wang X, Pan W, Hu W, Tian Y, Zhang H. Conditional Distance Correlation. Journal Of The American Statistical Association 2015, 110: 1726-1734. PMID: 26877569, PMCID: PMC4749041, DOI: 10.1080/01621459.2014.993081.Peer-Reviewed Original ResearchMultivariate random variablesThird random variableRandom variablesSample versionReal data analysisDesirable theoretical propertiesStatistical inferenceConditional dependenceRandom kernelsTheoretical propertiesArbitrary dimensionImportant practical utilityU-processesTest statisticConditional independenceGraphical modelsNumerical simulationsDistance correlationIntuitive propertiesMonotonic functionSample measuresNonparametric measuresPractical utilityDependenceVariables
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
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
2003
A Latent Variable Model of Segregation Analysis for Ordinal Traits
Zhang H, Feng R, Zhu H. A Latent Variable Model of Segregation Analysis for Ordinal Traits. Journal Of The American Statistical Association 2003, 98: 1023-1034. DOI: 10.1198/016214503000000981.Peer-Reviewed Original ResearchDichotomous traitsLatent variable modelsAsymptotic theoryModel of segregation analysisFamilial transmission of alcoholismGene-environment interactionsAssessed familial aggregationConduct simulation studiesGenetic epidemiologySegregation analysisTransmission of alcoholismHealth conditionsOrdinal traitsFamilial aggregationBinary traitsVariable modelComplex genetic basisInheritance of diseaseStatistical inferenceEM algorithmEnvironmental factorsSimulation studyPsychiatric disordersGene componentsAlcohol abuse