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Large deviations for kernel-type empirical distributions.

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Publication:1871252
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DOI10.1016/S0167-7152(02)00149-9zbMath1092.62542MaRDI QIDQ1871252

Takuhisa Shikimi

Publication date: 7 May 2003

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

Sanov's theoremLarge deviationsKernel-type empirical distributions


Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Large deviations (60F10)


Related Items (1)

On large deviations of smoothed Kolmogorov-Smirnov's statistics




Cites Work

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  • The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
  • Large deviation theorems for empirical probability measures
  • Large deviations, moderate deviations and LIL for empirical processes
  • Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator




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