Laws of large numbers for classes of functions

DOI10.1016/0047-259X(85)90083-1zbMath0573.60028MaRDI QIDQ1063315

Joseph E. Yukich

Publication date: 1985

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

metric entropykernel density estimatorsempirical measuresempirical characteristic functionsGlivenko-Cantelli theorems

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Characteristic functions; other transforms (60E10) Strong limit theorems (60F15)

Related Items

Rates of growth and sample moduli for weighted empirical processes indexed by sets, Rates of convergence for classes of functions: The non-i.i.d. case, Manifold estimation and singular deconvolution under Hausdorff loss, Nonparametric ridge estimation, Robust Topological Inference: Distance To a Measure and Kernel Distance, Weak Convergence of the Empirical Characteristic Function, On the law of the logarithm for density estimators, Some limit theorems for the empirical process indexed by functions

Cites Work

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• Limit behaviour of the empirical characteristic function
• A law of the logarithm for kernel density estimators
• The empirical characteristic function and its applications
• Remarks on Some Nonparametric Estimates of a Density Function
• Generalizations of the Glivenko-Cantelli Theorem
• On Estimation of a Probability Density Function and Mode