Impossibility of weak convergence of kernel density estimators to a non-degenerate law inL2(ℝd)

DOI10.1080/10485251003678507zbMath1359.62119OpenAlexW2149410029MaRDI QIDQ3021180

Yoichi Nishiyama

Publication date: 22 July 2011

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485251003678507

zbMATH Keywords

kernel estimatorweak convergence in \(L_2\) space

Mathematics Subject Classification ID

Density estimation (62G07) Functional limit theorems; invariance principles (60F17)

Related Items (2)

On the weak convergence of kernel density estimators inL^pspaces ⋮ On Projection‐type Estimators of Multivariate Isotonic Functions

Cites Work

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• Uniform central limit theorems for kernel density estimators
• Weak convergence and empirical processes. With applications to statistics
• On some global measures of the deviations of density function estimates
• Nonparametric functional data analysis. Theory and practice.
• Asymptotic Statistics
• A Note on Weak Convergence of Density Estimators in Hilbert Spaces
• Joint Asymptotic Distribution of the Estimated Regression Function at a Finite Number of Distinct Points
• On Estimation of a Probability Density Function and Mode

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