Strong limit theorems for oscillation moduli of the uniform empirical process
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Publication:4743501
DOI10.1007/BF00534996zbMath0506.60025OpenAlexW1974340805MaRDI QIDQ4743501
Jon A. Wellner, Galen R. Shorack, David M. Mason
Publication date: 1983
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00534996
Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15) Sample path properties (60G17)
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Cites Work
- A strong limit theorem for the oscillation modulus of the uniform empirical quantile process
- The oscillation behavior of empirical processes
- Limit theorems and inequalities for the uniform empirical process indexed by intervals
- A functional law of the iterated logarithm for weighted empirical distributions
- SOME LAW OF THE ITERATED LOGARITHM TYPE RESULTS FOR THE EMPIRICAL PROCESS
- Kiefer's theorem via the Hungarian construction
- An approximation of partial sums of independent RV'-s, and the sample DF. I
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