Some uniform large deviation results in nonparametric function estimation

DOI10.1080/10485250801908389zbMath1141.62023OpenAlexW1993398536MaRDI QIDQ3506264

Sidi Mohamed Ould Maouloud

Publication date: 12 June 2008

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

Full work available at URL: https://doi.org/10.1080/10485250801908389

zbMATH Keywords

minimaxregressionregressogram

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Inference from stochastic processes (62M99) Large deviations (60F10)

Related Items (2)

Large deviation results for the nonparametric regression function estimator on functional data ⋮ Nonparametric and semiparametric optimal transformations of markers

Cites Work

• A large deviation result for the least squares estimators in nonlinear regression
• Moderate deviations and large deviations for kernel density estimators
• Large deviations of \(L_1\)-error of empirical measures on partitions
• Large deviations of kernel density estimator in \(L^1(\mathbb R^d)\) for uniformly ergodic Markov processes
• Large Deviations Limit Theorems for the Kernel Density Estimator
• Some Large Deviations Limit Theorems in Conditional Nonparametric Statistics
• LARGE AND MODERATE DEVIATIONS PRINCIPLES FOR KERNEL ESTIMATION OF A MULTIVARIATE DENSITY AND ITS PARTIAL DERIVATIVES
• Large deviations of divergence measures on partitions
• Large deviations probabilities for a test of symmetry based on kernel density estimator

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