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Random fractals generated by oscillations of the uniform empirical process

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Publication:1591167
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DOI10.1016/S0167-7152(00)00105-XzbMath1103.62349MaRDI QIDQ1591167

Zacharie Dindar

Publication date: 2000

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


zbMATH Keywords

OscillationsFractalsEmpirical process


Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Stochastic processes (60G99) Fractals (28A80)




Cites Work

  • The oscillation behavior of empirical processes
  • Functional laws of the iterated logarithm for the increments of empirical and quantile processes
  • Strassen-type functional laws for strong topologies
  • On the fractal nature of empirical increments
  • How Often on a Brownian Path Does the Law of Iterated Logarithm Fail?
  • An approximation of partial sums of independent RV's, and the sample DF. II
  • An approximation of partial sums of independent RV'-s, and the sample DF. I
  • An invariance principle for the law of the iterated logarithm
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