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Glivenko-Cantelli-type theorems for weighted empirical distribution functions based on uniform spacings

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Publication:1185332
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DOI10.1016/0167-7152(92)90116-MzbMath0745.60025OpenAlexW2011679006MaRDI QIDQ1185332

John H. J. Einmahl, Martien C. A. Van Zuijlen

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90116-m


zbMATH Keywords

strong convergenceweak convergenceweighted empirical processordered spacingsuniform spacingsGlivenko-Cantelli theorems


Mathematics Subject Classification ID

Strong limit theorems (60F15)




Cites Work

  • The empirical distribution function and strong laws for functions of order statistics of uniform spacings
  • Strong bounds for weighted empirical distribution functions based on uniform spacings
  • A Glivenko-Cantelli theorem and strong laws of large numbers for functions of order statistics
  • Weighted empirical spacings processes
  • The Central Limit Theorem for Empirical Processes Under Local Conditions: The Case of Radon Infinitely Divisible Limits without Gaussian Component
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