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The central limit theorem and ε-entropy

  • Volker Strassen
  • R.M. Dudley
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 89)

Keywords

Central Limit Theorem Gaussian Process Real Random Variable Gaussian Stochastic Process Equal Subinterval 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Dudley, R. M., “The sizes of compact subsets of Hilbert space and continuity of Gaussian processes,” J. Functional Analysis 1 (1967) 290–330.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Dudley, R. M., “The speed of Glivenko-Cantelli convergence,” submitted to Annals of Mathematical Statistics.Google Scholar
  3. 3.
    Kolmogorov, A. N., and Tikhomirov, V. M., “The ε-entropy and ε-capacity of sets in functional spaces,” Uspekhi Mat. Nauk 14, (1959), no. 2 (86) 3–86; Amer. Math. Soc. Translations (2) 17 (1961) 277–364.MathSciNetzbMATHGoogle Scholar
  4. 4.
    Varadarajan, V. S., “On the convergence of sample probability distributions,” Sankhya 19 (1958) 23–26.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • Volker Strassen
    • 1
    • 2
  • R.M. Dudley
    • 1
    • 2
  1. 1.University of CaliforniaBerkeley
  2. 2.Massachusetts Institute of TechnologyUSA

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