Technometrics · 1980 · 205 citations · 8 references
BusinessBiostatisticsComputer ScienceStatistical ModelingStatisticsStochastic ModelingInferential StatisticsLikelihood EstimationMaximum Likelihood EstimationModel FittingOutlier DetectionParameter EstimationEm AlgorithmFinite Mixture ModelsMixture Model AnalysisModel-based Outlier DetectionOutlier IdentificationOutlier RemovalRobust EstimationStatistical Outlier Detection
Maximum likelihood (ML) methods are described for the identification of outliers in single sample or regression problems, based on mixture models. The EM algorithm provides a simple and easily programmed iterative solution for the ML estimates of the parameters in the models. The procedure is illustrated on three examples.
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Estimating the components of a mixture of normal distributions
N. E. Day · Biometrika · 1969 · 824 citations
A Robust Method for Multiple Linear Regression
David Andrews · Technometrics · 1974 · 597 citations
A Bayesian approach to some outlier problems
George E. P. Box, George C. Tiao · Biometrika · 1968 · 243 citations