IEEE Transactions on Information Theory · 1993 · 10 citations · 5 references
Natural SciencesBiostatisticsEconometricsStatistical ModelingTime Series AnalysisEstimation TheoryParameter EstimationParameter Estimation Under UncertaintyRobust Statistical ModelingRobust StatisticsStatistical InferenceAsymptotic RobustnessEstimation Under CensoringRobust EstimationRobust InferenceRobust Parameter EstimationRobustnessSaddlepoint Approximations
A new approach toward robust parameter estimation is presented. As opposed to schemes based on classical saddlepoint techniques, the methods apply quite naturally to dependent and/or nonstationary data and also have the advantage of providing a quantitative measure of the degree of robustness offered by a particular estimator. It is shown why censoring observations of large magnitude does indeed impart robustness, and it also shown how nontraditional schemes have certain advantages, particularly when trading off performance and robustness. The application of the results is further demonstrated by including several illustrative examples.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Robust Estimation of a Location Parameter
Peter J. Huber · The Annals of Mathematical Statistics · 1964 · 7K citations · Full text
Limit Distributions for Sums of Independent Random Variables.
David Barton, B. V. Gmedenko, A. N. Kolmogorov et al. · Biometrika · 1963 · 57 citations