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The Glivenko-Cantelli theorem based on data with randomly imputed missing values

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Publication:1612946
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DOI10.1016/S0167-7152(01)00142-0zbMath0995.62054MaRDI QIDQ1612946

Majid Mojirsheibani

Publication date: 5 September 2002

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


zbMATH Keywords

symmetrizationimputationmissing dataGlivenko-Cantellinonasymptotic boundsuniform deviation


Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30)


Related Items

Smoothed jackknife empirical likelihood inference for ROC curves with missing data



Cites Work

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  • The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
  • Central limit theorems for empirical measures
  • Unconditional Glivenko-Cantelli-type theorems and weak laws of large numbers for bootstrap
  • Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
  • Convergence of stochastic processes
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