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Bounds for weighted multivariate empirical distribution functions

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Publication:3217353
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DOI10.1007/BF00531867zbMath0554.60036MaRDI QIDQ3217353

John H. J. Einmahl, David M. Mason

Publication date: 1985

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)


zbMATH Keywords

law of the iterated logarithmempirical distribution function


Mathematics Subject Classification ID

Strong limit theorems (60F15)


Related Items

A general form of the law of the iterated logarithm for the weighted multivariate empirical process, Weighted uniform consistency of kernel density estimators., Asymptotic normality of generalized L-statistics with unbounded scores, Optimal detection of weak positive latent dependence between two sequences of multiple tests, Spacings-ratio empirical processes, Empirical U-statistics processes, On the standarized empirical process



Cites Work

  • Bounds for weighted empirical distribution functions
  • Linear bounds on the empirical distribution function
  • Some characterizations of almost sure bounds for weighted multidimensional empirical distributions and a Glivenko-Cantelli theorem for sample quantiles
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