Moderate deviations of \(L_1\)-error of empirical measures on partitions

DOI10.1016/j.aml.2008.07.005zbMath1163.60311OpenAlexW2045914342MaRDI QIDQ1021824

Guangyu Yang, Yu Miao

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.07.005

zbMATH Keywords

partitionsempirical measuremoderate deviation principlehistogram density estimator

Mathematics Subject Classification ID

Random measures (60G57)

Cites Work

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• The equivalence of weak, strong, and complete convergence in \(L_ 1\) for kernel density estimates
• Large deviations for the \(L_1\)-distance in kernel density estimation
• 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
• Large deviations of divergence measures on partitions

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