Probability estimates for the distribution of Kolmogorov distance in the worst direction

DOI10.1007/BF02560048zbMath0773.60002OpenAlexW2319120119MaRDI QIDQ5288874

Li Xing Zhu

Publication date: 25 October 1993

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02560048

zbMATH Keywords

Kolmogorov distancespherically symmetric probability measure

Mathematics Subject Classification ID

Probabilistic measure theory (60A10)

Cites Work

• Tail behaviour for suprema of empirical processes
• Bounds for the uniform deviation of empirical measures
• Central limit theorems for empirical measures
• On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
• On Tests of Normality and Other Tests of Goodness of Fit Based on Distance Methods
• Invariance principles for sums of Banach space valued random elements and empirical processes
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities

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