2019
Sparse principal component analysis with missing observations
Park S, Zhao H. Sparse principal component analysis with missing observations. The Annals Of Applied Statistics 2019, 13: 1016-1042. DOI: 10.1214/18-aoas1220.Peer-Reviewed Original ResearchHigh-dimensional settingsPrincipal subspaceStep estimation procedureRate of convergenceSparse principal component analysisDimensional settingSimulated examplesMissing observationsStatistical methodsEstimation procedureSparse PCA methodsSingle-cell dataSubspacePCA methodSingle-cell RNA-sequencing dataNumber of featuresCompetitive performancePrincipal component analysisConvergenceSample sizeEstimationWide rangeComponent analysis
2010
Asymptotic efficiency and finite-sample properties of the generalized profiling estimation of parameters in ordinary differential equations
Qi X, Zhao H. Asymptotic efficiency and finite-sample properties of the generalized profiling estimation of parameters in ordinary differential equations. The Annals Of Statistics 2010, 38: 435-481. DOI: 10.1214/09-aos724.Peer-Reviewed Original ResearchOrdinary differential equationsDifferential equationsBasis functionsEstimation procedureAsymptotic covariance matrixEfficient estimation procedureFinite sample propertiesMaximum likelihood estimationODE solutionStatistical propertiesAsymptotic normalityAsymptotic efficiencySpline approximationTrue solutionCovariance matrixComputational efficiencyLikelihood estimationLinear combinationUniform normApproximationEstimation methodEquationsObserved dataDynamic behaviorSolution