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
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