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Note on Chung-Teicher type conditions for the strong law of large numbers in a Hilbert space

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Probability Theory on Vector Spaces III

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1080))

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References

  1. Chung K.L., Note on some strong laws of large numbers, Amer. J. Math. 1947, No. 1, 189–192.

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  2. Егоров В. А., Об усиленном эаконе болъщих чисел для последо-вателъности неэависимых случайных величин, Теория верояти и её примен. (1970), 15, No 3, 520–527.

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  3. Teicher H., On a strong law of large numbers for a sequence independent random values, Prob. Th. and its appl. (1970), 15, No. 3, 520–527 (in Russian).

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  4. Teicher H., Some new conditions for the strong law, Proc. Nat. Acad. Sci. U.S.A. 1968, 59, No 3, 705–707.

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  5. Woyczyński W.A., Random series and laws of large numbers in some Banach spaces, Theor. Prob. Appl., 18, 1973, 361–367.

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  6. Woyczyński W.A., Geometry and martingales in Banach spaces, Winter School on Probability, Karpacz 1975, Lecture Notes in Math., 472, 229–275, Springer-Verlag, Berlin 1975.

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Authors and Affiliations

  1. Institute of Mathematics, Maria Skłodowska-Curie University, 20-031, Lublin, Poland

    D. Szynal & A. Kuczmaszewska

Authors
  1. D. Szynal
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  2. A. Kuczmaszewska
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Dominik Szynal Aleksander Weron

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© 1984 Springer-Verlag

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Szynal, D., Kuczmaszewska, A. (1984). Note on Chung-Teicher type conditions for the strong law of large numbers in a Hilbert space. In: Szynal, D., Weron, A. (eds) Probability Theory on Vector Spaces III. Lecture Notes in Mathematics, vol 1080. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099805

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  • DOI: https://doi.org/10.1007/BFb0099805

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13388-9

  • Online ISBN: 978-3-540-38939-2

  • eBook Packages: Springer Book Archive

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