2015
Markov counting models for correlated binary responses
Crawford FW, Zelterman D. Markov counting models for correlated binary responses. Biostatistics 2015, 16: 427-440. PMID: 25792624, PMCID: PMC5963474, DOI: 10.1093/biostatistics/kxv006.Peer-Reviewed Original ResearchConceptsExchangeable Bernoulli random variablesBernoulli random variablesCorrelated binary responsesMaximum likelihood estimatesInterpretable parameterizationsRandom variablesLikelihood estimatesCounting processDifferent cluster sizesBinary responsesCorrelated outcomesNatural wayCluster sizeBinary dataImproved fitPrevious modelsNew model
2014
Estimation for General Birth-Death Processes
Crawford FW, Minin VN, Suchard MA. Estimation for General Birth-Death Processes. Journal Of The American Statistical Association 2014, 109: 730-747. PMID: 25328261, PMCID: PMC4196218, DOI: 10.1080/01621459.2013.866565.Peer-Reviewed Original ResearchBirth-death processGeneral birth–death processesConditional expectationE-stepEM algorithmLinear birth-death processContinuous-time Markov chainTransition probabilitiesClosed-form solutionLinear modelMaximum likelihood estimatesMaximum likelihood estimationTime-consuming simulationsStatistical inferenceCostly simulationsData augmentation procedureMarkov chainDiscrete timeEfficient computationLikelihood estimatesNumber of particlesFraction representationLaplace transformLikelihood estimationAlgorithm convergence