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The law of the iterated logarithm for Banach space valued random variables

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Probability in Banach Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 526))

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References

  1. R. M. Dudley and V. Strassen, The central limit theorem and ε-entropy, Lecture Notes in Math., 89, 224–231, Berlin, Heidelberg, New York, Springer, 1969.

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  2. J. Kuelbs, Some results for probability measures on linear topological vector spaces with an application to Strassen's log log law, J. of Functional Analysis, 14, 28–43, 1973.

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  3. J. Kuelbs, Strassen's Law of the Iterated Logarithm, Annals de L'Institut Fourier, 24, 169–177, 1974.

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  4. J. Kuelbs, A strong convergence theorem for Banach space valued random variables, submitted for publication.

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  5. J. Kuelbs, The law of the iterated logarithm and related strong convergence theorems for Banach space valued random variables, Lectures given to “Ecole d'ete calcul des Probabilities St. Flour (1975)”, to appear in Lecture Notes in Mathematics.

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  6. V. Strassen, An invariance principle for the law of the iterated logarithm, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 3, 211–226, 1964.

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Author notes

  1. J. Kuelbs

    Present address: Department of Mathematics, University of Wisconsin, 53706, Madison, Wisconsin, USA

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    1. J. Kuelbs
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    Anatole Beck

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    © 1976 Springer-Verlag

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    Kuelbs, J. (1976). The law of the iterated logarithm for Banach space valued random variables. In: Beck, A. (eds) Probability in Banach Spaces. Lecture Notes in Mathematics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082348

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    • DOI: https://doi.org/10.1007/BFb0082348

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    • Publisher Name: Springer, Berlin, Heidelberg

    • Print ISBN: 978-3-540-07793-0

    • Online ISBN: 978-3-540-38256-0

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