Necessary and sufficient conditions for weak convergence of smoothed empirical processes.

DOI10.1016/S0167-7152(02)00395-4zbMath1048.62051MaRDI QIDQ1424474

Marten H. Wegkamp, Dragan Radulovic

Publication date: 14 March 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Weak convergenceHellinger differentiabilityEmpirical processesBracketing numbersHistogram estimatorsMetric entropy

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)

Related Items

Efficient prediction for linear and nonlinear autoregressive models, Donsker-type theorems for nonparametric maximum likelihood estimators, Bias Reduction in Sample-Based Optimization

Cites Work

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