2022
An unbiased kinship estimation method for genetic data analysis
Jiang W, Zhang X, Li S, Song S, Zhao H. An unbiased kinship estimation method for genetic data analysis. BMC Bioinformatics 2022, 23: 525. PMID: 36474154, PMCID: PMC9727941, DOI: 10.1186/s12859-022-05082-2.Peer-Reviewed Original ResearchConceptsRigorous mathematical proofGenetic data analysisReal data analysisUnbiased estimation methodEstimation methodIndividual-level genotype dataSample correlation coefficientMathematical proofMathematical derivationMean square errorCoefficient estimationMatrix methodEstimation accuracyEstimation biasHeritability estimationRoot mean square errorData analysisSquare errorAccurate estimatesEstimationUKINVariances of genotypesSpurious associationsKinship coefficientsEstimates
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