On the uniform complete convergence of density function estimates

DOI10.1007/BF02480229zbMath0444.62048OpenAlexW2077408157MaRDI QIDQ1144869

S. H. Smith

Publication date: 1978

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02480229

zbMATH Keywords

weight functionuniform complete convergence of density function estimates

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05)

Related Items (1)

On the uniform complete convergence of estimates for multivariate density functions and regression curves

Cites Work

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• The strong uniform consistency of nearest neighbor density estimates
• Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
• On some global measures of the deviations of density function estimates
• Remarks on Some Nonparametric Estimates of a Density Function
• On Non-Parametric Estimates of Density Functions and Regression Curves
• Some Convergence Theorems for Independent Random Variables
• On the Maximum Deviation of the Sample Density
• Some Results on the Complete and Almost Sure Convergence of Linear Combinations of Independent Random Variables and Martingale Differences
• Estimation of a Probability Density Function and Its Derivatives
• Curve Estimates
• On Estimation of a Probability Density Function and Mode

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