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An inequality concerning the deviation between theoretical and empirical distributions

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Publication:1117634
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zbMath0667.62029MaRDI QIDQ1117634

Lin Cheng Zhao

Publication date: 1988

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)


zbMATH Keywords

exponential inequalityempirical distributionnearest neighbor density estimatorrate of the uniform consistencyVapnik-Chervonenkis class of Borel sets


Mathematics Subject Classification ID

Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)


Related Items (3)

Maximum score change-point estimation in binary response model ⋮ Approximation rates of the error distribution of wavelet estimators of a density function under censorship ⋮ Almost sure \(L_ 1\)-norm convergence for data-based histogram density estimates




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