Empirical Processes in Action: A Review

DOI10.2307/1403678zbMath0757.62028OpenAlexW2322802390MaRDI QIDQ4024530

Jon A. Wellner

Publication date: 4 February 1993

Published in: International Statistical Review / Revue Internationale de Statistique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1403678

zbMATH Keywords

surveyinequalitiestruncationstrong law of large numbersBrownian bridgepermutation testsrates of convergencecensoringdifferentiable functionscentral limit theoremsregressionreviewempirical distributionnonstandard asymptoticsgoodness of fitbootstrap testsbiased samplingCLTU-processesomnibus testsempirical process theoryDonsker theoremGlivenko-Cantelli theoremVapnik-Chervonenkis classesSLLNminimum distance methodsdensity function estimationminimum distance testsrecent applications

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Order statistics; empirical distribution functions (62G30)

Related Items (6)

Strong convergence of multivariate maxima ⋮ A NEW CHARACTERIZATION OF THE NORMAL DISTRIBUTION AND TEST FOR NORMALITY ⋮ Auxiliary information: the raking-ratio empirical process ⋮ How to get central limit theorems for global errors of estimates. ⋮ A fast mode estimator in multidimensional space ⋮ Asymptotic linear expansion of regularized M-estimators

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