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The central limit theorem and ε-entropy

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

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References

  1. Dudley, R. M., “The sizes of compact subsets of Hilbert space and continuity of Gaussian processes,” J. Functional Analysis 1 (1967) 290–330.

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  2. Dudley, R. M., “The speed of Glivenko-Cantelli convergence,” submitted to Annals of Mathematical Statistics.

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  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.

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  4. Varadarajan, V. S., “On the convergence of sample probability distributions,” Sankhya 19 (1958) 23–26.

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© 1969 Springer-Verlag

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Strassen, V., Dudley, R. (1969). The central limit theorem and ε-entropy. In: Behara, M., Krickeberg, K., Wolfowitz, J. (eds) Probability and Information Theory. Lecture Notes in Mathematics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079129

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  • DOI: https://doi.org/10.1007/BFb0079129

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04608-0

  • Online ISBN: 978-3-540-36098-8

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