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On the convergence of weighted sums of martingale differences

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Probability Theory on Vector Spaces IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1391))

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References

  1. J. Elton, A law of large numbers for identically distributed martingale differences, Annals of Probability, 9 (1981), 405–412.

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  2. P. Hall, C.C. Hayde, Martingale limit theory and its application, Academic Press, New York, (1980).

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  3. J. Howell, R.L. Taylor, W.A. Woyczynski, Stability of linear forms in independent random variables in Banach spaces. Lecture Notes in Math., 860 (1980).

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  4. B. Jamison, S. Oray, W. Pruitt, Convergence of weighted Averages of independent random variables, Z.W., 4 (1965), 40–44.

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  5. M. Loeve, Probability Theory, 1962 (in Russian).

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  6. J. Neveu, Martingales a Temps discret, (1972).

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  7. A. Stout, Almost sure convergence, Academic Press New York, (1974).

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Hanoi, Viet Nam

    Nguyen Duy Tien

  2. Institute of Computer Sciences and Cybernetics Nghia Do - Tu Liem, Hanoi, Viet Nam

    Nguyen Van Hung

Authors
  1. Nguyen Duy Tien
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  2. Nguyen Van Hung
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Editor information

Stamatis Cambanis Aleksander Weron

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© 1989 Springer-Verlag

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Tien, N.D., Van Hung, N. (1989). On the convergence of weighted sums of martingale differences. In: Cambanis, S., Weron, A. (eds) Probability Theory on Vector Spaces IV. Lecture Notes in Mathematics, vol 1391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083397

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  • DOI: https://doi.org/10.1007/BFb0083397

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51548-7

  • Online ISBN: 978-3-540-48244-4

  • eBook Packages: Springer Book Archive

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