2012
Time course RNA-seq: A potential avenue with somewhat different approach in tandem of differential analysis
Oh S, Zhao H, Noonan J. Time course RNA-seq: A potential avenue with somewhat different approach in tandem of differential analysis. 2012, 1: 580-587. DOI: 10.1109/cisis.2012.204.Peer-Reviewed Original ResearchMonte Carlo simulation studySimulation studyReal data setsStatistical frameworkDifferential expression methodsStatistical approachDependent dataMarkov model approachInherent dependenciesTime seriesModel approachHidden Markov Model ApproachStandard approachTime-series RNA-seq dataData setsIntuitive solutionBiological systemsTrajectory indexTemporal complexityDifferential analysisDifferent approachesApproachConsiderable advantagesSolution
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